Assume that male and female heights are both normally distributed with a male averageof 69.1 inches with standard deviation of 2.8 inches, and a female average of 64.0 incheswith standard deviation 2.5 inches. If a male and female go out on a date, what is theprobability that the female is taller than the male? Show work.

We have given that For male=X1 Mean=M1=69.1, Standard deviation=S1=2.8 For female=X2 Mean=M2=64.0,…

Answered: Assume that male and female heights are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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When Freshman 15 The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.6 lb and a standard deviation of 10.8 1b (based on Data Set 13 "Freshman 15"). Find the probability that a randomly selected male college student gains 15 lb or more during his freshman year. What does the result suggest about the claim of the "Freshman 15"?
Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 90 mm?
Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is greater than 82 mm?
The mean cost of domestic airfares in the United States rose to an all-time high of $380 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $115. Use Table 1 in Appendix B. 1. What is the probability that a domestic airfare is $535 or more (to 4 decimals)? 2.What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)
Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 84 mm?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 136 lband a standard deviation of 29.6 lb. b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb.
A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts at least 70,000 miles.
Most graduate of Senior High Schools are taking up Batangas State University College Entrance Exam. Scores on the entrance exam are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the entrance exam? how high must an individual score on the entrance exam in order to score in the highest 5%?
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 55 miles and a standard deviation of 8 miles. Find the probability of the following events: The car travels between 49 and 63 miles per gallon. Probability =
A company records the mean time in years that used passenger cars and used pick-up trucks were kept before being sold by the owner. The mean time for used car is 5.6 years with a standard deviation of 1.5 years. For pick-up trucks, the mean time is 6.8 years with a standard deviation of 2.2 years. What is the probability that the mean time that 100 pick-up trucks were kept exceeds the mean time that 64 used cars were kept by at least 1.8 years?
The weight of trucks traveling on a particular section of Highway 2H has a population mean of 15.8 tons and a population standard deviation of 4.2 tons. What is the probability a state highway inspector could select a sample of 51 trucks and find the sample mean to be 14.3 tons or less?

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