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).

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

#SPJ4

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

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

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

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.

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

pls help pls help plsssssss

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?

Anyone can help please?

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.

Find the value of x in the parallelogram below.

Which of the following sequences of transformations maps KLMN onto ABCD

Pls help I’ll mark brainliest

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?

Find the area of each figure. A = _ in²

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

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

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

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.

whats the square footage of 10 by 10​

⊕║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!!

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​

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

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!!

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

Whats 2x36 PLEASE HELP ILL GIVE BRAINLYEST

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

HELP PLEASE! MATHHHHGGKSNSJSJ

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

PLEASE HELP

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

Can someone help me with this its preatty easy