The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows:
Outcome a b c d e f
X 0 0 1.4 1.4 2 3
Determine the probability mass function of X. Use the probability mass function to determine the following probabilities.
A) P(X = 1.6).B) P(0.5 < X < 2.7).C) P(X > 3).D) P(0 ≤ X < 2).E) P(X = 0 or X = 2).

Answers

Answer 1

Answer:

X ____ : 0 ______ 1.4 _____ 2 _____ 3

P(X) ___ 1/3 _____ 1/3 _____ 1/6 ____ 1/6 ;

0 ;

1/2 ;

0 ;

2/3 ;

1/2

Step-by-step explanation:

Each has the same probability ;

X ___ : 0 ___ 0 ___ 1.4 ____1.4 ___ 2 ___ 3

P(x) __ 1/6 __1/6 ___ 1/6 ___ 1/6 ___1/6 __ 1/6

Probability : required outcome / Total possible outcomes

X = 0

P(x = 0) = 1/6 + 1/6 = 2/6 = 1/3

X = 1.4

P(x = 1.4) = 1/6 + 1/6 = 2/6 = 1/3

X = 2

P(X) = 1/6

X = 3

P(x) = 1/6

Hence ;

X ____ : 0 ______ 1.4 _____ 2 _____ 3

P(X) ___ 1/3 _____ 1/3 _____ 1/6 ____ 1/6

A) P(X = 1.6).B) P(0.5 < X < 2.7).C) P(X > 3).D) P(0 ≤ X < 2).E) P(X = 0 or X = 2).

A.)

P(X = 1.6) = 0

B.)

P(0.5 < X < 2.7) = p(x = 1.4) + p(x = 2)

P(0.5 < X < 2.7) = 1/3 + 1/6 = (2 + 1) / 6 = 3/6 = 1/2

C.)

P(X > 3) = 0

D.)

P(0 ≤ X < 2) = P(0) + P(1.4)

P(0) + P(1.4) = 1/3 + 1/3 = 2/3

E.)

P(X = 0 or X = 2) = 1/3 + 1/6 = (2 + 1)/6 = 3/6 = 1/2


Related Questions

in OPQ, the measure of Q=90°, the measure of O=48°, and QO = 4.9 feet. Find
the length of PQ to the nearest tenth of a foot.
please help ne

Answers

∠ O ≈ 42.7°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos O =  =  =  , thus

∠ O =  (  ) ≈ 42.7° ( to the nearest tenth )

Can I have brainliest

HELP ASAP I WILL GIVE BRAINLYIST

Answers

Answer:

1,728cm squared  

Step-by-step explanation:

1. Break the Composite Figure into smaller shapes such as, rectangles, triangles, and squares.

2. Use the area formula for rectangles, triangles, and squares to find the area of each smaller shape.

3. Add the area of the smaller shapes together to get the area of the entire Composite Figure.

Hope this is correct and helps :[]).

Which one is greater 9/11 or 4/5
This is really easy please help

Answers

9/11 is greater:$$:$/&/&&//

Answer:

9/11 = 45/55

4/5 = 44/55

Obviously, 45 is more than 44, so 9/11 is greater than 4/5.

Let me know if this helps!

what are the special purpose books?​

Answers

Answer:

hi Plz Subscribe Sameer Duos Channel

They give you knowledge somehow

To make purple paint you must mix 3 cups of blue paint with 2 cups of red paint. Sally plans to use 9 cups of blue paint in her batch of purple paint. Which proportion could be used to find out how much red paint Sally will need to make purple paint?

Answers

Answer:

I believe the answer would be 6 cups of red paint.

Help please i'll give you brainliest

Answers

the answer is C, hope this helps

The range of F(x) = 6x3^x is all positive real numbers,

Answers

True I believe possibly

What is 0.64 divided by 248?

Answers

Answer:

0.00258064516

Step-by-step explanation:

Answer:

0.64 divided my 248 = 0.00258064516129

the problem is set up incorrectly what you should have put is 248 divided my 0.64 the answer to that is = 387.5

Your welcome!

Step-by-step explanation:

What is the median of this set of data?

362, 187, 211, 298, 331, 250, 347, 199

Answers

Answer:

274

Step-by-step explanation:

Hey There!

So if you didnt know the median is the middle number ( in value) of the set

So first we would like to arrange the numbers in order from least to greatest

187 , 199 , 211 , 250 , 298 , 331 , 347 , 362

Then we take the middle number(s)

if there is just one then that is the answer but if there is two than we add them together and divide that by 2

In this case there are two which would be 250 and 298

So we add them together

250+298=548

Then we just divide that by 2

[tex]\frac{548}{2} =274[/tex]

Therefore the median is 274

hope this helps :)

Step-by-step explanation:

l hope this answer is helpful to you

A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available.
How many liters of the 20% solution and how many liters of the 60% solution should she
30% solution?
mix to make the

Answers

Answer:

hindi ko po maintin dihan sorryyyyyyyyyy

Hiram asked his math class “How many pets do you own?” He graphed the results on the line plot. Which is the best description of the data?
a. Themedianis2.5,thedistributionissymmetrical,andtherearenogapsoroutliers.
b. Themodeis2,thedataisskewedtotheright,andthereisagapfrom3-4.
c. The range is 7, there is a peak at 5, and 6, 7, and 0 are outliers.
d. Themeanisabout3.1,therearenogapsoroutliers,apeakat2,andthedataisnot
symmetrical.

Answers

Answer:

I'm pretty sure, D.

Step-by-step explanation:

Going off the graph I was given, there was a peak at 2. There are no outliers. The data is also not symmetrical.

Tell whether c = 3 is a solution of c + 7 = 10.
a) Yes
b) No

Answers

Answer:

a) Yes

Step-by-step explanation:

Because, 3+7=10

Answer: yes

Explanation: In this problem, to determine whether c = 3

is a solution to the equation, we substitute 3 in for c.

So we have (3) + 7 = 10.

Simplifying the left side of the equation, (3) + 7 is 10.

So we have 10 = 10 which is a true statement so our answer is yes.

Every week, Marla’s mom buys 15 liters of water at the supermarket. How many milliliters of water is this?
15,000
1,500
150
1000

Answers

Answer:

it is 15,000

Step-by-step explanation:

15,000 because there is 1,000 milliliters in one liters and 15 liters = 15,000 milliliters

help me i am gonna give points to the people give me correct answer

Answers

Answer:

lol

Step-by-step explanation:

Answer:

Arjan should look for other cards that add up to $$94%

Step-by-step explanation:

I don't know it but I guess this one, let me know if it help

The high temperatures for a week are shown. 15°, 34°, 17°, 15°, 16°, 8° Which measure of center, mean or median, would BEST represent the data?

Answers

Hey there!

The mean would probably best represent the data.

This is because the mean of data is the average, which would show what the average temperature throughout the week was.

Have a super awesome day! :)

Prepare a graph with the X axis range from -300 to +100 °C and Y axis from 0 to 9 cm.

Answers

Answer: (Attached)

Graphic below is the answer to your question.

Factor
2x3 + 6x2 - 36x

Answers

Answer:

23+62−36

2(3+32−18)

Step-by-step explanation:

Find the arithmetic series a=2 d=5 n=20 find Sn

Answers

Step-by-step explanation:

Sn=n/2{2a+(n-1)d}

=10(4+95)

=10(99)

=990

Multiple three hundred and seventy by forty three​

Answers

Step-by-step explanation:

15910

hope it helps

thanks a lot

Compare the areas. What is the ratio of the areas? SHOW YOUR WORK

Answers

Answer:

Ratio of the area of MIKE to TEAM = 9 : 1

Step-by-step explanation:

Ratio of similar shapes = square of the ratio of their corresponding sides

Since TEAM ~ MIKE, therefore the ratio of their areas = square of the height of MIKE : square of the height of TEAM

Ratio = 33² : 11²

Ratio = 1089 : 121

Ratio = 9 : 1

Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?

Answers

Answer: 1,356

Step-by-step explanation:

It is 1200 increased by 13%


1) How many triangles will be formed by 13 matchsticks?
2) How many matchsticks will be needed to form 7 triangles?

Answers

1) 4 and one extra

2) 21

What's the value of x
(3x-5) and (x+10)

Answers

3x-5+x+10+x=180 (property of a triangle (angles add up to 180°))
5x+5=180 (simplify)
5x=175 (subtraction property of equality)
x=35 (division property of equality)

Therefore, x is equal to 35.

12. Si R(x)=-5x2+x-2 y S(x)=-x - 3x, se
¿cuál es el resultado de R(x) + S(x) ?​

Answers

Answer:

El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]

Step-by-step explanation:

Se dan las siguientes funciones

[tex]R(x) = -5x^2 + x - 2[/tex]

[tex]S(x) = -x^2 - 3x[/tex]

Cuál es el resultado de R(x) + S(x) ?​

Se soman los fatores en comun. Entonces:

[tex]R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2[/tex]

El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]

Find the missing angle according to the Triangle Sum Theorem.

Answers

Answer:

k = 140 degrees.

The missing INTERIOR angle is 40 degrees.

Step-by-step explanation:

The missing interior angle would be 40.

Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.

64+76+40 = 180

The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.

Exterior angle k = 64+76

k= 140

Joe has 16 pounds of fertilizer for his three gardens. He uses ⅜ of the fertilizer in his first garden and ¼ of the fertilizer in his second garden. What fraction of the fertilizer is left for the third garden? *

Answers

Answer:

3/8

Step-by-step explanation:

3/8 of 16 is 6

1/4 of 16 is 4

6+4 = 10

16-10 = 6

3/8 of 16 = 6

Someone solve this please?

Answers

Answer:

y = 4

Step-by-step explanation:

The perimeter of a polygon is the distance around the polygon. This can be found by adding up all of the side lengths. In this problem, one is given an expression for the perimeter and an expression for each side length. Using the formula for the perimeter, one can substitute in all of the given expressions and solve for the vairable.

(4y + 5) + (3y + 2) + (4y + 5) + (3y + 2) = 58 + 3y

Simplify,

4y + 5 + 3y + 2 + 4y + 5 + 3y + 2 = 58 + 3y

14y + 14 = 58 + 3y

Inverse operations,

14y + 14 = 58 + 3y

-3y                 -3y

11y + 14 = 58

     -14      -14

11y = 44

/11     /11

y = 4

Someone help me please.

Answers

Answer:

I think the answer is 1,370 , not sure .

If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).

Answers

Answer:

[tex]VYX=84.3in[/tex]

Step-by-step explanation:

Given

[tex]YV = 28in[/tex]

[tex]\angle WZX = 15^\circ[/tex]

See attachment

Required

Determine the length of [tex]VYX[/tex]

First, calculate the major angle VZX

[tex]\theta = \angle VZX = 360 - \angle WZX[/tex]

[tex]\theta = \angle VZX = 360 - 15[/tex]

[tex]\theta = \angle VZX = 345[/tex]

[tex]\theta = 345[/tex]

The length of arc VYX, is:

[tex]L=\frac{\theta}{360} * 2\pi r[/tex]

Where

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * YV[/tex]

[tex]r = \frac{1}{2} * 28[/tex]

[tex]r = 14[/tex]

So:

[tex]L=\frac{\theta}{360} * 2\pi r[/tex]

[tex]L=\frac{345}{360} * 2 * \frac{22}{7} *14[/tex]

[tex]L=\frac{345}{360} * 2 * 22 *2[/tex]

[tex]L=\frac{345* 2 * 22 *2}{360}[/tex]

[tex]L=\frac{30360}{360}[/tex]

[tex]L=84.3in[/tex]

Hence, the length of VYX is:

[tex]VYX=84.3in[/tex]

All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90

Answers

Answer:

0.7(85+)-74.90

Step-by-step explanation:

Answer:

D - 0.7(85+)-74.90

Step-by-step explanation:

Got 100% on the quiz! Have a good day!! :)

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