(16 points)
Consider the following scenarios. For each scenario, identify which probabil-
ity distribution (binomial, geometric, negative binomial, Poisson, hypergeo-
metric, normal, gamma, beta) best fits the situation. No calculations are
required, just pick the appropriate distribution
1. A factory produces light bulbs, with a defective rate of 5%. In a random
sample of 20 light bulbs, determine the probability of exactly 2 being
defective. X = Number of defective bulbs out of 20.
2. A company is conducting interviews to fill a position. They will con-
tinue interviewing candidates until they find one that meets their crite-
ria. Determine the probability that the company will have to interview
5 candidates before finding a suitable one. X = Number of candidate
interviewed to fill the position.
3. A basketball player is practicing free throws. He continues shooting
until he makes his first 3 shots. X = Number of trials until first 3
successful shots.
4. A call center receives an average of 10 calls per hour. Determine the
probability that they will receive 15 calls in the next hour. X = Number
of calls received in an one-hour period.
6