Question

A study conducted at a certain college shows that 72% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating.

a 3.600

b 0.269

c 0.069

d 0.193

Answer 1

We have,

72% of the school's graduates find a job in their chosen field within a year after graduation.

And we take 5 randomly selected graduates.

Thus p=72% = 0.72

And n= 5

Hence X~ B(n=5, p=0.72)

Thus,

Now

Probability that all 5 randomly selected graduates find jobs in their chosen field within a year of graduating is

Thus P(X=5) = 0.193

Correct option is d) 0.193