1. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. n=88, x =44, p=0.85
2. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. n=23, x=19, p=0.75 P(19) = ____________
3. A brand name has a 40% recognition rate. If the owner of the brand wants to verify that rate by beginning with a small sample of 15 randomly selected consumers, find the probability that exactly 6 of the 15 consumers recognize the brand name. Also find the probability that the number who recognize the brand name is not 6. The probability that exactly 6 of the 15 consumers recognize the brand name is___________
4. In a region, 70% of the population have brown eyes. If 11 people are randomly selected, find the probability that at least 9 of them have brown eyes. Is it unusual to randomly select 11 people and find that at least 9 of them have brown eyes? The probability that at least 9 of the 11 people selected have brown eyes is________
5. A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 17 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted?
The probability that this whole shipment will be accepted is_______________
6. An airline has a policy of booking as many as 17 persons on an airplane that can seat only 16. (Past studies have revealed that only 83% of the booked passengers actually arrive for theflight.) Find the probability that if the airline books 17 persons, not enough seats will be available.
Find the probability that not enough seats will be available.________