The following table contains the probability distribution for the number of traffic accidents daily in a small town.  I need to find the standard deviation [NOTE - I already found the mean of 1.68) Number of Accidents Daily             P(X=Xi) 0                                                        .27 1                                                         .34 2                                                         .14 3                                                         .08 4                                                         .07 5                                                          .06 6                                                          .04

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following table contains the probability distribution for the number of traffic accidents daily in a small town.  I need to find the standard deviation [NOTE - I already found the mean of 1.68)

Number of Accidents Daily             P(X=Xi)

0                                                        .27

1                                                         .34

2                                                         .14

3                                                         .08

4                                                         .07

5                                                          .06

6                                                          .04

Expert Solution
Step 1

Mean, E[X] = 1.68 (already found)

E[X2] = i x2p(x)

           = 02×0.27+12×0.34+22×0.14+32×0.08+42×0.07+52×0.06+62×0.04

           = 5.68

Variance = E[X2] - E[X]2

              = 5.68 - (1.68)2

              = 2.8576

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