12) A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating

Step-by-step explanation:

Represent the probability that a graduate finds a job with p

Required

Determine the probability that at least 1 of 7 gets a job.

In probability:

So, we calculate the probability that none of the 7 gets a job.

Represent the probability that a graduate will not get a job with q.

Represent as decimal

The probability that none of the 7 will get a job is

i.e.

So, we have:

Substitute 0.45 for q

-- approximated