Suppose that the temperatures of healthy humans areapproximately normally distributed with a mean of 98.6degrees and a standard deviation of 0.8 degrees. If 130healthy people are selected at random, the probability thatthe average temperature for these people is 98.25 degreesor higher is closest to:Əsoddns0 ()b) 0.11c) 5d) 0.75e) 1

From the provided information, Mean (µ) = 98.6 degrees Standard deviation (σ) = 0.8 degrees X~N…

Answered: Suppose that the temperatures of…

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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. b. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. c. 84% of all cars travel at least how fast on the freeway? mph.
The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,192. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 44,000 12,192 b. Find the probability that a randomly selected acre in the forest has fewer than 47,638 ants. c. Find the probability that a randomly selected acre has between 45,935 and 56,143 ants. d. Find the first quartile. ants (round your answer to a whole number)
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 201lb. The new population of pilots has normally distributed weights with a mean of 157 lb and a standard deviation of 32.5lb. a. If a pilot is randomly selected, find the probability that his weight is between 120lb and 181lb. The probability is approximately (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 120lb and 181lb. The probability is approximately (Round to four decimal places as needed.)
Suppose that the average loan taken out by small-sized businesses from a commercial bank is $275,000. If the loan sizes are normally distributed with a standard deviation of $25,000, find each of the following: A. The probability that a small-sized business takes out a loan of more than $325,000. B. The probability that a small-sized business takes out a loan between $245,000 & $310,000.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 83 and 86 mph. Round to 4 decimal places.
An elevator has a placard stating that the maximum capacity is 3800 lb—26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?
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 138 lb and a standard deviation of 32.5 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130lb and 181lb. The probability is approximately(Round to four decimal places as needed.) b. If 34 different pilots are randomly selected, find the probability that their mean weight is between 130lb and 181lb. The probability is approximately (Round to four decimal places as needed.)
Suppose that the mean hourly wage of all employees in a large semiconductor manufacturing facility is $50 with a standard deviation of $10. Let X be the mean hourly wages of certain employees selected randomly from all the employees of this manufacturing facility. If a random sample of 64 employees is selected, then the probability that the mean hourly wages X falls between $48 and $52 is: 0.9986 0.8904 0.9544 0.9898
Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.(Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____
According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is normally distributed with a mean of $2.39 and a standard deviation of $0.15. If you randomly pick a gas station, what is the probability the price is exactly $2.46 per gallon? A) 0.14 B) 0 C) 1 D) 0.68
Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. d. 84% of all cars travel at least how fast on the freeway? mph.

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