Rural and urban students are equally
likely to get admission in a college. If 100
students get admission, then the probability
that more rural students get admission than
urban students is

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Using binomial probability:

p = probability of a rural student getting admission = 1/2

q = probability of a rural student not getting admission = 1/2

n = number of students = 100

P(x) = [tex]C(n,x) p^xq^{(n-x)[/tex]

But [tex]p^xq^{n-x}=\frac{1}{2}^x\frac{1}{2}^{n-x}=\frac{1}{2}^{n}[/tex]

P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)

P(x > 50) = [tex]\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\[/tex]

[tex]P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)][/tex]


Related Questions

Eric’s kite spool had 100 yards of string. At first, he let out 50 feet of string.Then, the kite rose for another 16 yards. How much string was left on the spool?

Answers

Answer:66

Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66

The number of yards of string left on spool is 34 yards.

Given that, Eric’s kite spool had 100 yards of string.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

At first, he let out 50 feet of string. Then, the kite rose for another 16 yards.

Now, 50+16=66 yards

So, 100-66=34 yards

Hence, the number of yards of string left on spool is 34 yards.

Learn more about the subtraction here:

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What number is 10 times greater than 300?

Answers

The answer above is correct 30,000

The inequality for the given statement is 10x>300.

We need to find what number is 10 times greater than 300.

What is inequality?

In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol. Sometimes it can be about a 'not an equal to' relationship like something is greater than the other or less than. In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Let the unknown number be x.

Now, 10 times the number=10x

The number is 10 times greater than the 300.

That is, 10x>300

Therefore, the inequality for the given statement is 10x>300.

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Here is a figure made of a circle inscribed in a square. If the area of the square is 100 m 2: (a) What is the length of each side of the square? 10 o m (b) What is the radius of the circle? m (c) What is the area of the circle? ​

Answers

Answer:

6

Step-by-step explanation:

3=6

When you SWITCH the HYPOTHESIS and the CONCLUSION you create the _________ statement.

Answers

Answer:

CONVERSE

Step-by-step explanation:

When you switch hypothesis and conclusion you are creating what is called the CONVERSE statement.

An angle measuring 3.6 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.

Answers

Answer:

III

Step-by-step explanation: I just took the quiz

Find the h. c. f of 24, 30, 36​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]

[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]

[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]

[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]

[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]

[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]

[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]

[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]

[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]

[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]

[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]

[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{ TheAnimeGirl}[/tex]

n-6m-8 for n help! please

Answers

Answer:

n=6m+8

Step-by-step explanation:

we hav to get n by itself

so start easy and add 8 to theother side

n-6m=8 then take 6m and add it the other side

n=6m+8 and there you go

Answer:

Step-by-step explanation:

n - 6m = 8

n = 8 + 6m

Pls Help!!! John and his mother left their house for the market simultaneously. While John's mother was walking with a speed of 15 meters per minute, it took John 3 minutes to walk to the market and back to meet his mother. How long did it take John to get to the market, if his speed was 25 meters per minute?

Answers

Answer:

It would take 2.4 minutes

Step-by-step explanation:

Time span can never be different for the same two people. Therefore in 3 minutes, John's mother would have covered a distance of 15(3) = 45 meters. Respectively John would have covered a distance of 25(3) = 75 meters in the same time.

Distance from 'starting point' to the market: 45 m + 15 m = 60 meters,

Time that John takes to return from market, and meet with his mother

=> 15 / 25 (his speed) = 0.6,

Time it takes John to get to the market: 3 - 0.6 = 2.4 minutes

Answer:

2.4 mins

2mins 24 sec

Step-by-step explanation:

the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solution set? check all that apply

Answers

Answer:

1 and 4

Step-by-step explanation:

ed 2020

Answer:

Option B. 1 and Option E. 4

Step-by-step explanation:

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13​

Answers

Answer:

4.00

I just did the question

Answer:

The Answer is B. 4.00

Step-by-step explanation:

What is the missing number 7/8 + blank equals 1

Answers

The answer is 1/8
7/8+1/8=8/8 which equals 1

find the indicated unknown angle measure.​

Answers

Answer:

138 degrees

Step-by-step explanation:

Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180

b=138

What information can be used to compare linear relationships. Explain why

Answers

Step-by-step explanation:

y=mx+b m being the highest point x being the lowest

Answer:

Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

This is the sample response.

use the base ten system and mental math to find the products. of 40x50=

Answers

Answer:

2000

Step-by-step explanation:

(4x5) x 100

Answer:

2000

Step-by-step explanation:

40 x 50 can be easily done by multiplying 4 and 5 which is 20 and adding the remaining 0's which is 2000

Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.

Answers

Answer:

  -19.3%

Step-by-step explanation:

The percentage change in a value is computed from ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%

The decrease in 50 years is about 19.3%.

Subtract. −3 2/7 − (−5/7)
Enter your answer in the box as mixed number in simplest form.
___

Answers

Answer:

-2 4/7

Step-by-step explanation:

−3 2/7 − (−5/7)

Subtracting a negative is like adding

−3 2/7 + (5/7)

Since the signs are difference we subtract and take the sign of the larger number

3 2/7 - 5/7

Borrow from the whole number

2+ 7/7 + 2/7 - 5/7

2 9/7 - 5/7

2 4/7

The sign of the larger number is negative so add the negative sign

- 2 4/7

Answer:

- 2 4/7

Step-by-step explanation:

k12

Please help me ASAP!!!

Answers

Solution:

[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]

Answer:

[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]

Step-by-step explanation:

[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]

[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

x+x/7+1/11(x+x/7)=60

Answers

Answer:

5 yes or good i'm not good morning guys

Answer:x= 48.126

Step-by-step explanation:

12+8x10.00000000000000000

Answers

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?

Answers

Answer:

983040

Step-by-step explanation:

Second Year : 15x4=60

Third Year : 60x4=240

Fourth Year : 240x4=960

Fifth Year : 960x4=3840

Sixth Year : 3840x4=15360

Seventh Year : 15360x4 = 61440

Eighth Year: 61440x4=245760

Ninth Year : 245760x4= 983040

I’m I think it is uh

Simplify the expression. 9(3 + 2w)

Answers

Answer: 27 + 18w

9 x 3 + 9 x 2w

Find the prime factorization of the following number. 110

Answers

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Please Answer Dis .​

Answers

Answer:

543.

Step-by-step explanation:

Add both numbers as if they were positive.

express each of the following percentages as a fraction. 45%

Answers

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

45% = 9/20
45% can be expressed as 45/100
simplify to get 9/20

Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

what is a number in which the digit 7 is worth 70

Answers

Answer:

Tens, 70, 7x10'1

2x = 14
Help please I am stuck how do I check this?

Answers

Answer:

x=7

Step-by-step explanation:

The Answer is (X=7)

If there were 18 boys at a leadership camp, how many girls were at that leadership camp

Answers

Answer:

0

Step-by-step explanation:

The greatest payout for a personal injury was recorded
at $163,882,660 in 1993. The car wreck actually
occurred in the year 1987. If the guilty part paid in the
year the wreck actually happened, what would have
been the equivalent payout in 1987?

Answers

Answer: $115,012,850.8

Step-by-step explanation:

given data:

cash out amount in 1993 = $163,882,660

no of years = 7

inflation adjustment carried out on the amount would yield $163,882,660. in 1993 is equal to $115,012,850.8 1987.

This is because the Annual inflation grew over this period at a pace 4.26%.

= 4.26/100 * $163,882,660

= 0.0426 * $163,882,660 * 7

= $48,869,809.21

$163882660 – $48,869,809.21

= $$115,012,850.8

A golf ball is selected at random from a golf bag. If the golf bag contains 6 green ​balls, ​5 red balls, and 9 brown ​balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. ​(Type an integer or a decimal rounded to three decimal places as​ needed.)

Answers

Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:

p = 11/20 = 0.55.

More can be learned about probabilities at https://brainly.com/question/14398287

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