Reference no: EM133052020
Problem Set
Problem 1. A brewery's experience is that one bottle per 10,000 bursts when filled. If filling each bottle is an independent trial, in a production run of 50000, what is the probability that fewer than 3 will burst?
Problem 2. A blood bank has scheduled 12 people to donate, and needs at least 5 donors for an open-heart surgery. The rate of no-shows is 25%, assumed independent. Find the probability that there will be insufficient blood for the surgery.
Problem 3. The first year drop-out rate at a university is 23%. What is the probability that between 6 and 10 students (exclusive) will drop out from a beginning class of 45 entrants?
Problem 4. A photocopy repair firm's experience is that the number of calls per day for service is Poisson- distributed with a mean of 6. Find the probability of no more than 2 repair calls per day.
Problem 5. A bank experiences that the number of customers arriving in any hour is Poisson-distributed with a mean of 15. Find:
i. the probability that 5 customers will arrive in an hour
ii. the probability that 25 customers will arrive in one hour.
iii. the probability that no more than 2 customers arrive in an hour
iv. the probability that more than 2 customers arrive in an hour.