Suppose that the flight time from Chicago O'Hare International Airport to Hartsfield-Jackson Atlanta International Airport follows a uniform distribution with lower andupper bounds of 120 and 140 minutes, respectively.a) Suppose that Luke flies with Spirit Airlines, which posts a flight time of 2 hoursand 5 minutes (that is, 125 minutes) for this route. What is the chance that hisflight will be at most 5 minutes late? Hint: what is P(X < 130)?b) Let the flight duration be a random variable. Find the expected value andstandard deviation of this variable.

Answered: Image /qna-images/answer/d3a5dca7-aa48-458f-8397-cf4610ae4b74.jpg

Answered: a) Suppose that Luke flies with Spirit…

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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Assume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one of the cars is randomly chosen, find the probability that it is traveling between 65 and 75 mph.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one car is randomly chosen, find the probability that is traveling less than 70 mph.
4
If X is a normal random variable with mean 20 and standard deviation 50. Find the probability that 15 < X < 45.
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Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 5. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.b. If an American is randomly chosen, find the probability that this American will receive no more than 23 Christmas cards this year. Incorrectc. If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year. d. 65% of all Americans receive at most how many Christmas cards? (Please enter a whole number)

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