(b) Suppose that a doorway being constructed is to be used by a class of peoplewhose heights are normally distributed with mean 70 cms. and standard deviation 3cms. How long may the doorway be without causing more than 25% of the peopleto bump their heads? If the height of the doorway is fixed at 76 cms., how manypersons out of 5000 are expected to bump their heads? (Given ¤(2) = 0.4762).

Answered: (b) Suppose that a doorway being…

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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8. Suppose the length of the newborn babies in a community is normally distributed with an average of 50 cm and a standard deviation of 3cm. If a newborn baby's length is 95th percentile, find the length in cm.
The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.55 inches.a) If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)?z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)?z = c) Who is relatively taller? The 5 foot 11 inch American woman The 6 foot 3 inch American man
For SRSWOR (N,n), find the ratio estimator of population mean. Show that the estimator is biased.
The length of time to discharge a certain Motolite car batteries are normally distributed. It is found that fifteen percent of batteries will last less than thirty hours and ten percent of batteries last more than fifty hours. a) Find the mean of the length of time to discharge the battery. b) Find the standard deviation of the length of time to discharge the battery.
For the study purpose, the mean of the observations is 148 gm and standard deviation is 17.4 gm. Approximately, the coefficient of variation equals to: А. 11 С. 12 В. 14 D. 13
A soft-drink machine is regulated so that it discharges an average of 200 mm/cup. If the amount of drink is normally distributed with a standard deviation equal to 15 mm, what fraction of the cups will contain more than 224mm?
The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.61 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.56 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? z= b) If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)? z= c) Who is relatively taller? OThe 6 foot 3 inch American man OThe 5 foot 11 inch American woman
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Solve step by step in digital format Suppose that the average income of the engineers hired at REDUNO presents an approximately normal behavior with a mean of $17,000 pesos and a standard deviation of $3,000 pesos. a) What percentage of the employees will have incomes greater than $20,000 pesos?b) In a random sample of 50 employees, about how many people can be expected to have incomes of less than $15,000 pesos?
1) The speed of 100 cars was measured on a road with a speed limit of 90 km/h. The data was found to be approximately normal with a mean of 88 km/ h and standard deviation of 1.0km/h. a) How many cars were driving at a speed between 87km/h and 89km/h? b) How many vehicles were fined between 90km/h and 91km/h for exceeding the speed limit?
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.1% of the thermometers are rejected because they have readings that are too high and another 2.1% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children

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