Question

The following table contains the probability distribution for the number of traffic accidents daily in a...

The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts​ (a) and​ (b) to the right. Number of Accidents Daily​ (X) ​P(X) 0 0.30 0.30 1 0.34 0.34 2 0.17 0.17 3 0.08 0.08 4 0.06 0.06 5 0.04 0.04 6 0.01 0.01 b. Compute the standard deviation. sigma σ equals = nothing ​(Type an integer or decimal rounded to three decimal places as​ needed.)

Homework Answers

Answer #1

Solution :

solution

Mean = = X * P(X)

= 0 * 0.30+ 1 * 0.34+ 2 * 0.17+ 3 * 0.08 + 4 * 0.06+5 * 0.04+ 6* 0.01

= ( 0+0.34 +0.34 +0.24+0.24+0.2+0.06 )

= 1.42

Standard deviation =

=X 2 * P(X) - 2

=  [ 02 * 0.30+ 12 * 0.34+ 22 * 0.17+ 32 * 0.08 + 4 2* 0.06+5 2* 0.04+ 6*2 0.01] -1.422

= [(0 +0.34+0.68 +0.72+0.96+1 + 0.36) )]-2.0164

= 4.06-2.0164

=2.0436

Standard deviation = =1.430

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