Find the indicated probability. Round to the nearest thousandth.
-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 9 randomly selected graduates, at least one
Finds a job in his or her chosen field within a year of graduating.
A) 0.999
B) 0.111
C) 0.570
D) 0.994

Question

Quizplus · Accepted Answer

The probability that a randomly selected graduate finds a job in their chosen field within a year of graduating is 0.57. The probability that a randomly selected graduate does not find a job in their chosen field within a year of graduating is 1 - 0.57 = 0.43. The probability that none of the 9 randomly selected graduates finds a job in their chosen field within a year of graduating is 0.43^9 = 0.001. The probability that at least one of the 9 randomly selected graduates finds a job in their chosen field within a year of graduating is 1 - 0.001 = 0.999.

Find the Indicated Probability