Question

According to the Bureau of Labor Statistics, the unemployment rate in Detroit in June 2014 was...

According to the Bureau of Labor Statistics, the unemployment rate in Detroit in June 2014 was 11 approximately 10%. If a random sample of 15 people living in Detroit at that time was taken, find the probability that two or fewer were unemployed.

Homework Answers

Answer #1

Let X = Number of unemployed people in Detroit.

p = probability of unemployment = 0.10

X follows Binomial distribution with parameter n = 15 and p = 0.10

The pmf of Binomial distribution is,

We want probability that,

Now first we obtain probability at X = 0,1,2


  

Similarly ,

P(X =1) = 0.3432

P(X =2) = 0.2669

Hence

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