Question

The workers union at a particular university is quite strong About 94% of all workers employed by the university belon to the workers union. Recently, the workers went strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike What is the probability that exactly 3 of the workers interviewed are union workers.

Round your response to at least three decimal places

Answer 1

0.1415

Explanation:

We are given that 96% workers working at the university belong to the workers union. So probability of chosen worker belonging to workers' union is 96/100(let us denote it by P) and probability of chosen worker does not belong to workers' union is 4/100(let us denote it by Q)

Now the probability that 3 out of 4 workers chosen for interview belong to workers union is = (4C3)*(96/100)³*(4/100) = 4*0.8847*0.04 = 0.1415{See attachement)