Question

The number of students using the School Bus per day is found in the distribution below....

The number of students using the School Bus per day is found in the distribution below.

     X

15

25

10

12

    P(X)

0.3

0.4

0.2

0.1

Find the mean , variance, and the standard deviation for this probability distribution.

Homework Answers

Answer #1

Solution,

x p(x) x * p(x) x2 * p(x)
15 0.3 4.5 67.5
25 0.4 10 250
10 0.2 2 20
12 0.1 1.2 14.4
Total 1.00 17.7 351.9

mean = = x * p(x) = 17.7

variance = 2  = x2 * p(x) - ( )2

variance = 2  = 351.9 - ( 17.7)2

variance = 2  = 351.9 - 313.29

variance = 2  = 38.61

standard deviation = =   2  = 38.61 = 6.21

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