Question

Using the formulas for the mean and standard deviation of a discrete random variable, calculate to...

Using the formulas for the mean and standard deviation of a discrete random variable, calculate to 2 decimal places the mean and standard deviation for the population probability distribution of the table below.

x

P(x)

69

0.20

79

0.22

81

0.35

98

0.23

μ =

σ =

Math   Statistics-And-Probability   
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Answer #1

Using the formulas for the mean and standard deviation of a discrete random variable, calculate to 2 decimal places the mean and standard deviation for the population probability distribution of the table below.

The formula of mean = μ =

μ = 69*0.20 + 79*0.22 + 81*0.35 + 98*0.23 = 82.07

Answer: μ = 82.07.

The formula of σ =

Let   = (692)*0.20 + (792)*0.22 + (812) *0.35 + (982)*0.23 = 27168

σ =

Answer: σ = 142.9423

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