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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 to 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 to 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 to 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