According to The Wirthlin Report, 24% of all workers say their job is very stressful. If 114 workers are randomly selected, what is the probability that exactly 28 say that their job is very stressful

Answer: 0.08568

Step-by-step explanation:

In determining the probability of success of a particular random variable, the probability distribution formula for random variables is used where the combination formula for selection is approximated to the solution. When determining the random variable "X" being approximated to r, the probability of choosing this from given sample of "n" is denoted by:

P (X=r) nCr * p^r * q^n-r

Where n = given sample which in this case, n = 114

r = varied number of success which in this case, r = 28

p = probability of success which in this case p=24% = 0.24

q = 1-p = 1-0.24 = 0.76

When r=28, then

P (X=28) = 114C28 * 0.24^28 * 0.76^86

P (X=28) = 0.08568