Score: 1.5 of 6 pts 6 of 10 (10 complete) Hw Score: 89 17%, 53 5 of 60 pts 26.3.

Question

Score: 1.5 of 6 pts 6 of 10 (10 complete) Hw Score: 89 17%, 53 5 of 60 pts 26.3.23-T A survey found huat women's heights are normally distributed with mean 63 8 in and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with a mean 68.3 in and standard deviaton 2.9 Complete parts a theough c below a Most of the Iive characters a The percentage of women who meet the height requrements 99 05 % (Round to two decimal places as needed) b. Find the percentage of men meeting the height requirement The percentage of men who meet the height requrements.% (Round to two decimal places as needed ) at an amusement park have height requirements with a minimum of 4 th9 in and a masimum of 6 t 4 in Find the percentage of women meeting the height requirement

Explanation / Answer

b) P(57 < X < 76)

= P((57 - mean)/sd < (X - mean)/sd < (76 - mean)/sd)

= P((57 - 68.3)/2.9 < Z < (76 - 68.3)/2.9)

= P(-3.90 < Z < 2.67)

= P(Z < 2.67) - P(Z < -3.90)

= 0.9962 - 0

= 0.9962 = 99.62%

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