To be eligible for the UK. Marine Corps, a woman must have a height between 58 in. and 73 in.

Women have normally distributed heights with a mean of 63.6 in. and a standard deviation of 2.5 in. (based on data from the UK National Health Survey). i. Find the percentage of women who satisfy the Marine Corps height requirement. ii. If the requirement is changed to exclude the shortest 1 % and the tallest 1 %, find the heights that are acceptable. iii. If nine women are randomly selected, find the probability that their mean height is between 63.0 in. and 65.0 in. d) Assuming that TV replacement times have a mean of 8.2 years and a standard deviation of 1.1 years, find the probability that 50 randomly selected TV sets will have a mean replacement of 7.8 years or less.

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