Suppose two dice are rolled. Let X be the random variable measuring the sum of the two numbers rolled.
(a) Find the probability mass function for X.
(b) Find the expected value E(X).
(c) Find the variance V(X).

Answers

Answer 1

The expected value E(X) is 7 and the value of variance of X is 5.8333.

Two dice are rolled. Let X be the random variable measuring the sum of the two numbers rolled.

a) The probability of mass function is obtained below:

The possible outcomes in each of the dice are 1 to 6. Therefore, the possible outcomes when two dice is rolled is 36

The sample space, s for fair dice (red die and blue die) is given below:

N(s) = 36

From the given information, two dice are rolled let X be the random variable measuring the sum of the two numbers rolled.

b) The expected value is calculated below:

The probability mass function of X is,

The required mean is,

E(x) = ∑xP(X=x)

[tex]=[2[/tex]×[tex]\frac{1}{36}+3[/tex]×[tex]\frac{2}{36}[/tex]+....+11×[tex]\frac{2}{36}+12[/tex]×[tex](\frac{1}{36} )[/tex]]

=[0.0556+0.1667+0.3333+0.5556+0.8333+1.1111+1.000+0.8333+0.6111+0.3333

=7

C) The variance V(X) is calculated below:

The probability mass function of X is,

The required variance is,

V(x)= ∑[tex](X-x)^{2}P(x) = 5.8333[/tex]

Therefore, the expected value E(X) is 7 and the value of variance of X is 5.8333.

For such more questions about probability:

https://brainly.com/question/99675

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Suppose Two Dice Are Rolled. Let X Be The Random Variable Measuring The Sum Of The Two Numbers Rolled.(a)
Suppose Two Dice Are Rolled. Let X Be The Random Variable Measuring The Sum Of The Two Numbers Rolled.(a)

Related Questions

Victor sells bouquets of flowers at a farmers market. He earns a flat rate for each bouquet sold, shown on the graph below. The table below shows the number of bouquets Victor sold last week. Fill in the table to show how much money Victor earned.

Answers

Answer:

Attach the graph so we can help lol

Step-by-step explanation:

The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider the sample to be a SRS.
a. Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll
b. Of the 1048 teens surveyed, 189 named Fox as their favorite television network. Give a 90% confidence interval for the proportion of all people in this age group who would choose Fox as their favorite network.
c. Suppose you were to change the confidence level in (b) to 95% using the same sample. How would the confidence interval change? No calculations necessary.
a. The confidence interval would be the same width but shifted to the left
b. The confidence interval would be the same width but shifted to the right
c. The confidence interval would have the same center but be wider
d. The confidence interval would have the same center but be narrower

Answers

I’m sorry can u explain better pls?? Thanks that’s will help so much!!

Enter a value of b that will make the expression factorable.
x2^ + bx – 40

Answers

B would be 6
X^2+6x-40
(x-4)(x+10)

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Answers

For the 1st question your just going to

How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many

Answers

Answer:

x = 12

Step-by-step explanation:

by direct solution

otherwise this system many solution

Answer:

one

Step-by-step explanation:

4x+8=-4+5x

or, 5x-4x = 8+4

hence,

x=12

Can someone help me with this its preatty easy

Answers

Answer:

31,400

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Find the value of x in the parallelogram below.

Answers

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Lester made a scale drawing of a house. The scale he used was 1 inch : 2 feet. In the drawing, the hall closet is 3 inches long. What is the length of the actual closet?

Answers

Answer: 6 feet

Step-by-step explanation:

1 inch= 2 feet

so

3 inches = 6 feet

ratio

Answer: 6

Step-by-step explanation:

A garden is in the shape of a circle with a radius of 10 feet. Edging is place around the garden. How much edging, in feet, is needed to
go around the garden? Round your answer to the nearest whole number. Use 3. 14 for TT.
please!! I need it right jnow

Answers

Answer:

62.8 ft (of edging)

Step-by-step explanation:

We need to find the circumference of this circle, using C = 2(pi)r.

Here, C = 2(3.14)(10 ft) = 62.8 ft (of edging)

Answer:

63 feet is needed to  go around the garden.

-2x + y=-15. y=5x solved by substitution

Answers

Answer:

2

+

=

1

5

=

5

Step-by-step explanation:

5x= answer

Anyone can help please?

Answers

X=60°

because 33+87= 120 and 180-120=60


1600, 400, 100, 25, ...
O Arithmetic
O Geometric
O Neither

Answers

This is a GEOMETRIC sequence as each number is being multiplied by 1/4

Find the mean of the set of data.
3, 3, 8, 3, 8, 3, 8, 8, 1,3
The mean is ?? HELP WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

8

Step-by-step explanation:

48 because your adding them all up

HELP PLEASE! MATHHHHGGKSNSJSJ

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Answer:

192y16

Step-by-step explanation:

mark me brainlist

Pls help I’ll mark brainliest

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Answer:

Answer:

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Answer:

Answer:

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Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Which statement must be correct?
A.
B.
C.
D.

Answers

Answer:

A suits the most

Step-by-step explanation:

Answer:

D. RS intersects PQ at point R

Step-by-step explanation:

COMMON CORE REVIEW
1. Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.
2. Factor this expression: 27+108n
3. Factor this expression: 56x + 16

THANKS AGAIN!!

Answers

Answer:

146.9

Step-by-step explanation:

I'm not sure of the answer but if I'm wrong tell me I'll continue trying it is a pleasure to help you.

Find the absolute maximum of (x^2-1)^3 in the interval [-1,2]

Answers

Let f(x) = (x ² - 1)³. Find the critical points of f in the interval [-1, 2]:

f '(x) = 3 (x ² - 1)² (2x) = 6x (x ² - 1)² = 0

6x = 0   or   (x ² - 1)² = 0

x = 0   or   x ² = 1

x = 0   or   x = 1   or   x = -1

Check the value of f at each of these critical points, as well as the endpoints of the given domain:

f (-1) = 0

f (0) = -1

f (1) = 0

f (2) = 27

So max{f(x) | -1 ≤ x ≤ 2} = 27.

whats the square footage of 10 by 10​

Answers

Answer: 100 square feet

How many square feet is a 10x10 room? The square footage of a room 10 feet wide by 10 feet long is 100 square feet. Find the square footage by multiplying the width (10 ft) by the length (10 ft).

Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.

Answers

Answer:

Solution;

given equation : 3.67 = c - 2.13

On solving equation, we get

c = 3.67 +2.13

c = 5.8

Hence, Janae solution is incorrect. So I disagree.

Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?

Answers

Answer:2.2%

Step-by-step explanation:

Whats 2x36 PLEASE HELP ILL GIVE BRAINLYEST

Answers

Answer:

It is 72

Step-by-step explanation:

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Answer:

72

Step-by-step explanation:

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What is the domain of a quadratic functions that opens up or down?

Answers

Down is very simple that the answer down

A new car costs $28,000. It is expected to depreciate at an average rate of 8% per year.
Find the value of the car in 8 years.

Answers

Answer:

35

Step-by-step explanation:

in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current​

Answers

9514 1404 393

Answer:

kayak: 12 mphcurrent: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

Find the area of each figure. A = _ in²

Answers

Answer:

1824in^2

Step-by-step explanation:

area of rectangle:

L x W = A

32 x 48 = 1539

area of triangle:

(L x W) / 2 = A

(48 x 12) / 2 = 288

add:

1539 + 288 = 1824in ^2

The price of an item has risen to $184 today. Yesterday it was $80. Find the percentage increase.

Answers

130% because if 80 =100% you take way 80 fro 184 to get 104 and get the % of that

Which of the following sequences of transformations maps KLMN onto ABCD

Answers

Answer:

The answer is neither.

Step-by-step explanation:

Just did the test on Khan.

⊕║Using Sampling to Predict Lesson 10-5║ ⊕


To determine how many students at a middle school bring their lunch from home, all the students on one school bus are surveyed. identify if this is BIASED OR UNBIASED. Explain your reasoning!!

Answers

I would say biased because only the student on one school bus are being surveyed. While there are other buses of kids and kids who get dropped off. So they are in a way discriminating those other kids. Just surveying one bus of kids out of all the other kids won’t get the correct number of students who bring their lunch from home.

Can someone please help me is the last one☝ that k need

Answers

I say it’s 5 inches away
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