Question

# Consider the following random discrete distribution. x x(P) 24 0.25 30 0.15 49 0.30 58 0.10...

1. Consider the following random discrete distribution.

 x x(P) 24 0.25 30 0.15 49 0.30 58 0.10 60 0.20

1. Calculate the mean or the expected value of X

1. Calculate the variance and the standard deviation of the random variable

#### Homework Answers

Answer #1

Solution:

Mean = ∑XP(X)

Variance = ∑ P(X)(X - mean)^2

Standard deviation = Sqrt[∑ P(X)(X - mean)^2]

The calculation table is given as below:

 X P(X) XP(X) P(X)(X - mean)^2 24 0.25 6 90.25 30 0.15 4.5 25.35 49 0.3 14.7 10.8 58 0.1 5.8 22.5 60 0.2 12 57.8 Total 1 43 206.7

Part a

Mean = 43

Part b

Variance = 206.7

Standard deviation = Sqrt(206.7) = 14.37706507

Standard deviation = 14.37706507

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