A typical home doorway has a height of 80 in.Given that the heights of men are normallydistributed with a mean of 69.0 in and standarddeviation of 2.8 in.a) Find the percentage of men who can fitthrough the standard doorway without bending.b) Is that percentage high enough to continueusing 80 in as the standard doorway?

a) Suppose a random variable X, defines the height of men.

Answered: A typical home doorway has a height of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

. The price of a litre of gasoline follows a normal distribution with a mean of £1.20 and a standard deviation of £0.20. Find the price above which 23% of gas stations exceed (round your answer to the nearest 2 decimal places). A) 0.74 B) 1.96 C) 1.35 D) 2.46 M
IQ scores are from a Normal distribution with a mean of 100 and a standard deviation of 15. What IQ scores has a z-score of 1.20? Group of answer choices A.) 106 B.) 95 C.) 118 D.) 82
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all males. (Accommodating 100% of males would require very wide seats that would be much to0 expensive.) Men have hip breadths that are normally distributed with a mean of 14.7 in. and a standard deviation of 0.9 in. Find Por. That is, find the hip breadth for men that separates the smallest 95% from the largest 5%. The hip breadth for men that separates the smallest 95% from the largest 5% is Pas = (Round to one decimal place as needed.) in.
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75
The heights of senior girls are normally distributed with a mean of 65 inches and a standard deviation of 2.2 inches. What percent of senior girls are … 4) Under 66 inches tall? Group of answer choices A.) 67.36% B.) 55.96% C.)93.57% D.)78.23%
The IQ of a person follows a normal distribution and has a mean of 100 and a standard deviation of 15. What percentage of the people have IQ scores between 70 and 130? A) 95% B) 50% C) 2.5% D) 68%
Assume the scores on a trivia challenge test are normally distributed with a mean μ = 76 and standard deviation of o = 6. a) Alisha received a score of 80. What is the z-value of Alisha's score? (Round to two decimal places). z= b) What percentage of scores fall between 64 and 88? c) What percentage of scores are between 70 and 88? d) What percentage of scores are below 70? % % % e) Find the first quartile of the data set. (Round to one decimal place)
The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.
Given a normal distribution with mean 25 and standard deviation 5, find the area under the normal curve from the men to the indicated measurement. A) 36.1?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 55 ounces and a standard deviation of 6 ounces.Use the Empirical Rule, finda) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 43 and 73 ounces? %c) What percentage of the widget weights lie above 49 ?

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