Assessment Part 2

Complete the table below.

(a)  

A fair coin has the number 1 on one face and the number 2 on the other. The coin is thrown with a fair die and X represents the sum of the scores. What are the possible values of X ?

• {2, 3, 4, 5, 6, 7, 8}

• {1, 2, 3, 4, 5, 6, 7}

• {0, 1, 2, 3, 4, 5, 6}

• {3, 4, 5, 6, 7, 8, 9}

If X is a discrete random variable, what is the other term for the mean of X?

• average of X

• expected value of X

• variance of X

• standard deviation of X

Calculate the expected value of the random variable with the following probability distribution.

(a)  

What is the mean of the probability distribution given below?

(a)  

Calculate the expected value of the random variable X using the given probability distribution.

(a)  

A variance of zero indicates that all values in a set are ______________.

• identical

• different

• related

• equivalent

What is the variance of the given probability distribution?

• 0.76

• 0.9776

• 0.96

• 0.7996

If the variance of a discrete random variable is 4 , what is its standard deviation?

(a)  

A researcher compiled data on the number of children in randomly selected households in Bulacan. What is the variance of the probability distribution?

• 3.35

• 3.25

• 3.36

• 3.26