Question: Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities.
19. Seven percent of people in the United States have type 0 blood. You randomly select 30 people in the United States and ask them if their blood type is 0.
(a) Find the probability that exactly 10 people say they have 0 blood.
(b) Find the probability that at least 10 people say they have 0blood.
(c) find the probability that fewer than 10 people say they have 0 blood.
(d) A blood drive would like to get at least five donors with 0 blood. There are 100 donors. What is the probability that there will not be enough 0 blood donors?
20. Thirty-four percent of people in the United States have type A+ blood. You randomly select 32 people in the United States and ask them if their blood type is A+. (a) find the probability that exactly 12 people say they have A+ blood.
(b) find the probability that at least 12 people say they have A+ blood.
(c) find the probability that fewer than 12 people say they have A+ blood.
(d) A blood drive would like to get at least 60 donors with A+ blood. There are 150 donors. What is the probability that there will not be enough A+ blood donors?
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