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In: Statistics and Probability

For questions 5 – 6, assume that to ride the Whirling Dervish at an amusement park,...

For questions 5 – 6, assume that to ride the Whirling Dervish at an amusement park, riders must be no taller than 75 in. Assume that men have normally distributed heights with a mean of 70 in. and a standard deviation of 2.8 in. 5. Find the percentage of men who will not meet the height requirement. Round to two percentage decimal places (for example, 38.29%). 6. If the height requirement is changed so that only the tallest 5% of men will be excluded from riding the Whirling Dervish due to height restrictions, what is the new height limit? Round to the nearest inch.

Solutions

Expert Solution

Assume that to ride the Whirling Dervish at an amusement park, riders must be no taller than 75 in.

Given that, mean = 70 in and

standard deviation = 2.8 in

Q.5) We want to find, the percentage of men who will not meet the height requirement. i.e. P(X > 75 in)

Therefore, the percentage of men who will not meet the height requirement is 3.67%

Q.6) We want to find, the value of x such that, P(X > x) = 0.05

Therefore, new height limit is 75 in

orchestra answered 2 years ago
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