Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?

Answers

Answer 1

The correct and complete question is shown below;

The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?

Answer:

The probability that the student's GMAT score is higher than 725 = 0.3928

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution;

Then;

[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]

To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]

[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]

[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]

By using the EXCEL FORMULA:  [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]

P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]

P(X< 725) = 0.9522

P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]

P(X< 710) =0.8783

[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]

[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]

[tex]P(X > 725 | X > 710)=0.3928[/tex]


Related Questions

What formula is used to
determine the expected value for a variable?

Answers

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens: (P(x) * n).

Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?

Answers

Answer:

The number of tickets sold at the gate is [tex] G = 211.25[/tex]

The number of tickets sold in advance is  [tex]  A = 311.25 [/tex]

Step-by-step explanation:

From the question we are told that

 The cost of a tickets at the gate is [tex]a =  \$ 5[/tex]  

  The cost of a ticket in advance is  [tex]b =  \$ 3[/tex]

Let the number of ticket sold in the gate be G

Let the number of ticket sold in advance  be   A

From the question we are told that

  One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as

       [tex]G  +  100 =  A[/tex]

From the question we are told that

  The total revenue from ticket sales was $1990  and this can be mathematically represented as

    [tex]5 G  +  3A  =  1990[/tex]

substituting for  A in the equation above

    [tex]5 G  +  3[G  +  100]=  1990[/tex]    

    [tex]5 G  +  3G  +  300=  1990[/tex]    

    [tex] 8G  +  300=  1990[/tex]  

    [tex] 8G  =  1690[/tex]

=>  [tex] G = 211.25[/tex]

Substituting this for G in the above equation

     [tex]5 [211.25]  +  3A  =  1990[/tex]

=>    [tex]  3A  =  1990 - 1056.25[/tex]

=>    [tex]  A = 311.25 [/tex]

PLEASE HELP
Select the correct answer from each drop-down menu. Options are (equal to, not equal to)

Answers

Answer:

Not equal to.

Step-by-step explanation:

7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?

Answers

Answer:

243*2=486

243/6=40.5 Or how many hour it would take to wire one house.

486+40.5=526.5Hrs

PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?

Answers

Answer:

( c + a + s) = 5000

(10c + 20a + 15s) = 72000

c = 3s

Step-by-step explanation:

Number of tickets sold = 5000

Proceeds from ticket Sale = $72,000

Tickets for children 16 and younger = $10

Adults = $20

seniors 60 and older = $15

Let :

number of children, c ;

adults, a;

seniors, s,

There were 3 times more children than seniors at the concert ; c = 3s

Total number of attendees = 5000 ;

( c + a + s) = 5000

Total proceeds or revenue

(10c + 20a + 15s) = 72000

The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246

Answers

Answer:

Explained below.

Step-by-step explanation:

Consider the data provided.

(a)

Compute the mean of the data in seconds as follows:

Mean =AVERAGE(array)

         = 225.280 seconds

(b)

Compute the median of the data in seconds as follows:

Median =QUARTILE.EXC(array,2)

            = 229 seconds

(c)

Compute the variance of the data in seconds as follows:

Variance =VAR.S(array)

              = 1148.043 seconds

(d)

Compute the standard deviation of the data in seconds as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 33.883 seconds.

(e)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.755 minutes.

(f)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.817 minutes

(g)

Compute the variance of the data in minutes as follows:

Variance =VAR.S(array)

              = 0.319 minutes

(h)

Compute the standard deviation of the data in minutes as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 0.565 minutes.

An SEO account manager is concerned website developers are using too many keywords per web page. The SEO account manager would like to carry out a hypothesis test and test the claim that a web page has, on average, more than 10 keywords. Why is this hypothesis test right-tailed

Answers

Answer:

The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.

Step-by-step explanation:

The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as

Ha:μ>10.

The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.

What is the absolute value of 5,234?

Answers

Answer:

Step-by-step explanation:

5.234

how to find the area figure of square inches​

Answers

It is length times width in^3

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.

A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10

Answers

I’m pretty sure it’s A. Sorry if it’s not. :(

Answer:

A

Step-by-step explanation:

what is 2 times 4 time 2

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Explanation:

2 x 4 = 8

8 x 2 = 16

Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup

2.4 Section Exercise 6

In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had

less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.

Part: 0/2

E

Part 1 of 2

(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.

of the meals studied, 1% of them had less than 10 grams of fat.

Answers

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!

Answers

Answer:

2034

Step-by-step explanation:

Mike has at least 250 in his savings account.Which inequality represents this situation

Answers

What is the situation??

if you subtract 19 from my number and multiply the difference by -2​, the result is -8

Answers

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.

Hint: Area of a rectangle = length × width.

Answers

Answer:

A = 6x² - 10x

General Formulas and Concepts:

Area of a Rectangle: Length × Width

To expand, use FOIL - First, Outside, Inside, Last

Step-by-step explanation:

Step 1: Define variables

l = 3x - 5

w = 2x

Step 2: Find area

Substitute:                   A = (3x - 5)(2x)Expand (FOIL):            A = 6x² - 10x

Answer: A=6x^2-10x ✅

Step-by-step explanation:

Hii, do you need to find the area of the rectangle? Let me help you out! (:

Luckily, there's a formula to find this! (:

Area

To find the area of a rectangle, multiply its length times its width. This is shown below.

[tex]\LARGE\boldsymbol{A=L W}[/tex]

Here, "A" denotes the area

"L" denotes the length

"W" denotes the width

NB : "L" and "W" are interchangeable

Next, it's just a matter of sticking in the known values...

[tex]\twoheadrightarrow\sf A=2x(3x-5)[/tex]

===> it's perfectly legal to stick in the values the other way around, because they are interchangeable

Alright, the next step is to multiply the values...

[tex]\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)[/tex]

Then we need to simplify...

[tex]\twoheadrightarrow\sf A=6x^2-10x[/tex]

Voila! There's the area of this rectangle! (:

Cheers! (:_______________

Hope I helped! Best wishes.

⚜ Reach far. Aim high. Dream big. ⚜

_______________

Which expression is equivalent to 27 + 15?
1) 3(24 + 12)
2) 319 + 5)
3) 9(3 + 15)
4) 9(18+ 6)

Answers

1) 72 + 36
2) 27 + 15
3) 27 + 135
4) 162 + 54
Therefore 2 is equal to 27 + 15 because
27 + 15 = 27 + 15

What is the value of y=-1/2x +5

Answers

There are three possible answers

 Slope = -1.000/2.000 = -0.500

 x-intercept = 10/1 = 10.00000

 y-intercept = 10/2 = 5

If this is helpful please mark brainliest. Have a great day

Find the measure of the missing angle

Answers

Answer:

M1=108° M2=72°

Step-by-step explanation:

M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°

Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas

Answers

Answer:

random numbers

Step-by-step explanation:

because they are randomly picked

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

What is random experiment?

Random experiments are repeated multiple times to determine its likelihood.  

The number of times an experiment is repeated is better described as number of trials.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

To Learn more about Random numbers, click here;

https://brainly.com/question/3798851

#SPJ5

What is the slope of a line that is perpendicular to the line y = x + 4?

The slope of the line is

Answers

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

The sum of three consecutive odd integers is 18 less than five times the middle number fimd the three integers

Answers

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7


Order from least to greatest:
-5/6,0.567,-0.11,-1/4

Answers

Answer:

-5/6,-1/4,-0.11,0.567

Step-by-step explanation:

Find the unknown angle measures.

Answers

Answer:

x = 9°

y = 119°

Step-by-step explanation:

Given,

y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}

or, y° = 119°

therefore, y° = 119°

Now,

52°+y°+x° = 180°{the sum of angle if triangle is 180°}

or, 52°+119°+x°= 180°

or, 171°+x° = 180°

or, x° = 180°-171°

or, x° = 9°

therefore, x° = 9°

Which of these is a biomorphic shape? Choose the answer.
O a capital letter W
O a microphone
an outline of a pine tree
O a pyramid

Answers

Answer:

Option C: an outline of a pine tree

Step-by-step explanation:

Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.

A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.

Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".

Thus, it is a bimorphic shape.

Answer:

C. an outline of a pine tree

Step-by-step explanation:

I just took the test!

The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.18 F and a standard deviation of 0.65 F. Using the empirical​ rule, find each approximate percentage below.

a.

What is the approximate percentage of healthy adults with body temperatures within 3 standard deviation of the​ mean, or between 96.23 F and100.3 ​F?

Answers

Answer:

99.7%

Step-by-step explanation:

Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we have mean of 98.18 F and a standard deviation of 0.65 F

The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 ​F is

μ - 3σ

= 98.18 - 3(0.65)

= 98.18 - 1.95

= 96.23 F

μ + 3σ.

98.18 + 3(0.65)

= 98.18 + 1.95

= 100.13 F

Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 ​F which is within 3 standard deviations of the mean is 99.7%

please answer this The cost of 2.5 pounds of cheese is $5.60.

D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.

Answers

Answer:

$11.20

Step-by-step explanation:

you just double the cost of 2.5 pounds because 2.5 +2.5 is 5

Answer:20.16

Step-by-step explanation:

That is we want the price of

9

pounds (lets call it

$

x

) to be such that

$

5.60

:

2.5

pounds

is the same as

$

x

:

9

pounds

or written as fractions, we want

$

5.60

2.5

pounds

=

$

x

9

pounds

That is

XXX

$

x

=

$

5.60

2.5

pounds

×

9

pounds

XXXXX

=

$

50.40

2.5

=

$

20.16

suppose that the life distribution of an item has the hazard rate function of what is the probability that

Answers

Answer:

that what

Step-by-step explanation:

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

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