Worksheet: Calculating Standard Deviation and Variance of Discrete Random Variables

Q1:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

Q2:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

			0	2

Q3:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

				1

Q4:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

	4	6	10

Q5:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

			0	2

Q6:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

				2

Q7:

The function in the given table is a probability function of a discrete random variable . Given that the expected value of is 6.5, find the standard deviation of . Give your answer to two decimal places.

	3		6	8
	0.2	0.1	0.1	0.6

Q8:

Let denote a discrete random variable which can take the values . Given that has probability distribution function , find the standard deviation of . Give your answer 2 decimal places.

Q9:

Let denote a discrete random variable which can take the values . Given that has probability distribution function , find the standard deviation of . Give your answer 2 decimal places.

Q10:

Let denote a discrete random variable which can take the values . Given that has probability distribution function , find the standard deviation of . Give your answer 2 decimal places.

Q11:

Let denote a discrete random variable which can take the values . Given that has probability distribution function , find the variance of .

A
B
C0
D

Q12:

Let denote a discrete random variable which can take the values . Given that has probability distribution function , find the variance of .

A
B
C
D

Q13:

Let denote a discrete random variable which can take the values 2, 4, and 5. Given that has probability distribution function , find the variance of . If necessary, give your answer to two decimal places.

Q14:

The function in the given table is a probability function of a discrete random variable . Find the variance of . If necessary, give your answer to two decimal places.

	3	5	7	8

Q15:

The function in the given table is a probability function of a discrete random variable . Find the variance of . If necessary, give your answer to two decimal places.

	1	3	5	7

Q16:

The function in the given table is a probability function of a discrete random variable . Given that the expected value of is , find the variance of . Give your answer to two decimal places.

	1	2		7