Answer:
The probability of getting B=40 is which is negligible.
Step-by-step explanation:
Given that 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree.
Assuming the population of the state aged 25 years or more is Bernoulli's population.
So, when 1 person aged 25 years or more from the state selected randomly, the probability of that person, p, having a bachelor’s degree,
Now, according to Bernoulli's formula, the probability of exactly r success from the total number of sample n is
where p is the probability of success.
Here, a random sample of 50 residents of the state, age 25 years or older, will be selected.
So, n=50.
Given that variable B represents the number in the sample who have a bachelor’s degree,
We have to find the probability that B will equal 40.
So, r=B= 40.
Now, putting these values in equation(ii) and using p=0.25 from equation (i), we have
So, the probability of getting B=40 is which is negligible.