7. Given that x is a normal variable with mean μ = 48 and standard deviation σ = 6.8, find the following probabilities. (Round your answers to four decimal places.) (c) P(50 ≤ x ≤ 60) 8. Given that x is a normal variable with mean μ = 114 and standard deviation σ = 10, find the following probabilities. (Round your answers to four decimal places.) (c) P(108 ≤ x ≤ 117) 11. Blood type AB is found in only 3% of the population†. If 340 people are chosen at random, find the probability of the following. (Use the normal approximation. Round your answers to four decimal places.) (a) 5 or more will have this blood type (b) between 5 and 10 will have this blood type 12. The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 10.1 minutes and a standard deviation of 2.6 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.) (c) between 8 and 15 minutes 16. A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of the drug is normally distributed, with mean μ = 38 minutes and standard deviation σ = 5 minutes. (b) The drug is administered to a random sample of 10 patients. What is the probability that the average time before it is effective for all 10 patients is 35 minutes or less? (Round your answer to four decimal places.) (c) Comment on the differences of the results in parts (a) and (b). The probability in part (b) is ___ part (a) because the ___ is ___ for the x distribution. 13. One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.) (a) If 388 cans are sold today, what is the probability that 300 or more will be recycled? (b) Of the 388 cans sold, what is the probability that between 260 and 300 will be recycled?
7. Given that x is a normal variable with mean μ = 48 and standard deviation σ = 6.8, find the following probabilities. (Round your answers to four decimal places.)
(c) P(50 ≤ x ≤ 60)
8. Given that x is a normal variable with mean μ = 114 and standard deviation σ = 10, find the following probabilities. (Round your answers to four decimal places.)
(c) P(108 ≤ x ≤ 117)
11. Blood type AB is found in only 3% of the population†. If 340 people are chosen at random, find the probability of the following. (Use the normal approximation. Round your answers to four decimal places.)
(a) 5 or more will have this blood type
(b) between 5 and 10 will have this blood type
12. The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is
(c) between 8 and 15 minutes
16. A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of the drug is normally distributed, with mean μ = 38 minutes and standard deviation σ = 5 minutes.
(b) The drug is administered to a random sample of 10 patients. What is the probability that the average time before it is effective for all 10 patients is 35 minutes or less? (Round your answer to four decimal places.)
(c) Comment on the differences of the results in parts (a) and (b).
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