Find the indicated probability.
-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 5 randomly selected graduates, at least one
Finds a job in his or her chosen field within a year of graduating.
A)0.200
B)0.940
C)0.570
D)0.985

Question

Quizplus · Accepted Answer

The probability that at least one graduate finds a job is 1 minus the probability that none of the graduates find a job. The probability that a single graduate does not find a job is 0.43 (1 - 0.57). For 5 graduates, this probability is 0.43^5. Thus, the probability that at least one finds a job is 1 - 0.43^5 = 0.985.

Find the Indicated Probability