Heights of men are normally distributed with a mean of 69.0inches and a standard

Question

Heights of men are normally distributed with a mean of 69.0inches and a standard deviation of 2.8 inches. a. find the minimum and maximum heights for the tallest 5% andshortest 5%, respectively. b. Pick one man at random, what is the probabiliy that he isat least 74 inches tall/ c. for a modeling job, only men between 62.0 and 74 incheswill be needed. find the probability that a randomly selected manwill be this range. d. if 64 men are randomly selected, what is the probabilitythat the mean height will be less than 71.0 inches? e. what is the cutoff height for the tallest 27%? Heights of men are normally distributed with a mean of 69.0inches and a standard deviation of 2.8 inches. a. find the minimum and maximum heights for the tallest 5% andshortest 5%, respectively. b. Pick one man at random, what is the probabiliy that he isat least 74 inches tall/ c. for a modeling job, only men between 62.0 and 74 incheswill be needed. find the probability that a randomly selected manwill be this range. d. if 64 men are randomly selected, what is the probabilitythat the mean height will be less than 71.0 inches? e. what is the cutoff height for the tallest 27%?

Explanation / Answer

this is what i got so far: am I right? a. max=69.17 min=68.82 b. =0.96 c. =0.9567 d. =0.865 e. 69.9664 inches

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