5. During a tight job market, recruiters have noticed that graduating seniors with intermediate proficiency

in a second language have a higher probability of getting the first interview following a screening call when

seeking their first job out of college. For students with one language, the probability of getting the first

interview following a screening call is 0.45, whereas for graduating seniors with a second language the

probability is 0.62. Let be the number of screening calls a graduating senior with intermediate

proficiency in a second language must go take up to and including getting their first interview.

a) Name a probability distribution that you could use to find probabilities of X. Do not forget to include

values of any parameters.

b) On average, how many screening calls must a graduating senior with intermediate proficiency in

Does a second language go through before getting their first interview?

c) What is the exact probability that a graduating senior with intermediate proficiency in a second

language must have at most three screening calls to get their first interview? Write down the formula

you would use with numbers substituted but use R to calculate the answer. Copy and paste your R

code here with the answer from R.