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Probability: Problem and Solution

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Based on past experience, the poise department of the city of laurel knows that 50% of the automobiles reported stolen are recovered. In a month in which 30 automobile are stolen, what is the probability that

a. 13 or more of the stolen automobile will be recovered.
b. Less than 22 automobiles will be recovered.
c. Between 10 or 20 automobiles will be recovered.
d. Calculate the mean for the number of automobile stolen?
e. Calculate the variance.

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This solution is comprised of detailed explanation and step-by-step calculation of the given problems and provides students with a clear perspective of the underlying concept.

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It is a problem of Binomial Probability Distribution.
Population Proportion,p=0.50
q=1-p=1-0.50=0.50
Sample Size,n=30

d. The mean for the number of automobile stolen is given as:
Mean=np=30×0.50=15
e. The ...

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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