The New York City Police Department tracks the number of vehicles involved in ea

Question

The New York City Police Department tracks the number of vehicles involved in each vehicle collision in Manhattan. The table shows the probability distribution for the number of vehicles (x) involved in collisions in Manhattan in July 2015.

Determine the probability that 1 vehicle is involved in a collision so that this data set represents a legitimate probability distribution.

A. 0.181

B. 0.081

C. 0.008

D. 0.191

Determine the expected number (mean) of vehicles involved in a collision.

A. 3.000

B. 2.495

C. 1.959

D. 0.392

Explanation / Answer

The total sum of probabilities should be 1 thus answer is =1-(0.884+0.031+0.003+0.001)=0.081 or option B

expected value is sum of x*p(x)=1*0.081+2*0.884+3*0.031+4*0.003+5*0.001=1.959 or option C

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