Final answer:
To determine the probability of exactly three adults believing it would be easy to find another job, and the probability of more than two adults believing so, we utilize the binomial probability formula. It would be unusual for all ten adults to believe finding another job would be easy due to a less than certain success rate.
Step-by-step explanation:
The student has asked for help with a probability question based on the General Social Survey conducted at the University of Chicago. We will address each part of the question using the binomial probability formula.
Part a)
To find the probability that exactly three of the ten employed adults believe it would be easy to find another job, we use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Where:
n = number of trials (10 adults)
k = number of successes (3 adults believing)
p = probability of success (0.59)
Part b)
The probability that more than two of them believe it would be easy to find another job is calculated by summing the probabilities of having 3 through 10 adults believe it. We sum the binomial probabilities for each case.
Part c)
It would be unusual if all of them believed it would be easy to find another job because the likelihood of this happening is much lower than the mixed responses due to the success probability being less than 1.