Suppose x has a distribution with = 12 and a = 11.LAUSE SALT(a) If a random sample of size n = 36 is drawn, find , and P(12 ≤ x ≤ 14). (Round a to two decimal places and the probability to four decimal places.)Hx=ox=P(12 ≤ x ≤ 14) =(b) If a random sample of size n = 57 is drawn, find , and P(12 ≤ x ≤ 14). (Round a to two decimal places and the probability to four decimal places.)Hx0x =P(12 ≤ x ≤ 14) =(c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)The standard deviation of part (b) is -Select- part (a) because of the --Select-- sample size. Therefore, the distribution about is --Select--

Answer Given,The population mean = 12The population standard deviation = 11Using formula:P…

Answered: and P(12 ≤ x ≤ 14). (Round a to two…

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 75 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.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 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 76 and 80 mph. d. 78% of all cars travel at least how fast on the freeway? mph.
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The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. (show all work)a) If an individual woman is randomly selected, what is the probability that she has a height between 63 and 65 inches?b) If 100 women are randomly selected, find the probability that they have a mean height greater than 64 inches.c) If 75 women are randomly selected, find the probability that they have a mean height less than 62.1 inches
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Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
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An elevator has a play card stating that the maximum capacity is 1980 pounds 12 passengers so 12 adult male passages can have a mean way of up to 1180÷12 = 165 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. Assume that weights of males are normally distributed with a mean of 172 pounds and a standard deviation of 27 pounds. Does this elevator appear to be safe?
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and P(12 ≤ x ≤ 14). (Round a to two decimal places and the probability to four decimal places.) o be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) art (a) because of the -Select--sample size. Therefore, the distribution about #is-Select-