During a tight job market, recruiters have noticed that graduating seniors with an intermediate proficiency in a second language have a higher probability of getting a first interview following a screening call when seeking their first job out of college. For students with one language, the probability of getting a first interview following a screening call is 0.3, whereas for graduating seniors with a second language the probability is 0.45. Let X be the number of screening calls a graduating senior with an intermediate proficiency in a second language must take up to and including getting

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 an intermediate proficiency in a second language go through before getting their first interview?

c) What is the exact probability that a graduating senior with an intermediate proficiency in a second language must have at least five screening calls up to get their first interview? Write down the formula you would use with numbers substituted but use R studio to calculate the answer. ##### Bernoulli and Binomial Distributions Bernoulli and Binomial use the same functions--recall that a Bernoulli RV is just a binomial RV with n = 1

pbinom() gives probability (X <= x) for a binomial random variable with parameters p and n. NOTE the use of <= instead of <; since this is a discrete distribution <= is not the same as <.

qbinom() gives you the value of x for P(X <= x) = some p rbinom() gives independent random draws from a binomial distribution