Question

In: Statistics and Probability

The following countries’ movie releases in 2010 were, the US with 378, the UK with 386,...

The following countries’ movie releases in 2010 were, the US with 378, the UK with 386, Germany with 287, France with 182 and Japan with 129. Choosing one new release at random, find the probability that the new release is: (a) European (b) From the US

Solutions

Expert Solution

The following countries’ movie releases in 2010 were the US with 378, the UK with 386, Germany with 287, France with 182 and Japan with 129.

Let A,B,C,D,E denote the event that the movie released is from the US,the UK,Germany,France,Japan respectively

n(A)=378

n(B)=386

n(C)=287

n(D)=182

n(E)=129

Let S denote the number of movies released,

Total movies released = n(S) = 1362

Choosing one new release at random, find the probability that the new release is: (a) European

The European countries are the UK,Germany,France

Let E denote the event that the movie released is European

n(E) = 386+287+182 = 855

Probability that the new release is European = P(E) =  Favorable events/Total events = 855/1362 =0.6278

Choosing one new release at random, find the probability that the new release is (b) From the US

Probability that the new release is from the US = Favorable events/Total events =0.2775

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