A study conducted at a certain college shows that 57 of the

A study conducted at a certain college shows that 57% of the school\'s graduates find a job in their chosen field within a year after graduation. Find the probability that among 8 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating O A. 0.999 O B. 0.570 O C. 0.125 O D. 0.989

Solution

57% of the school graduates finds a job in their chosen field with in a year after graduation.

So P(a single student finds job)=0.57

P(a student doesn\'t find a job)=1-0.57=0.43

Now random persons are 8

hence n=8, This is bionomial distribtuin

So P(at least one of the 8 finds a job)=1-P(none of 8 finds a job)

=1-(0.43^8)

=0.99883

   0.999

Hence option (a) is the correct answer to the question