(e) What percentage of days receive an amount of mail daily that is more than 1.75 standarddeviations away from the mean? Draw a diagram labeling the Z-scores and shade the appro-priate area on the diagram.(f) What percentage of days receive an amount of mail daily that is within 1.75 standard devia-tions of the mean? Draw a diagram labeling the Z-scores and shade the appropriate area onthe diagram.Question 3:Suppose that the score of a certain standardized test is normally distributed with mean u = 68and standard deviation o = 8. Suppose that three test-takers are randonly selected. What is theprobability that all three of them scored at least an 70?

Solution: 3. Let X be the score of a certain standardized test. From the given information, X…

Answered: Suppose that the score of a certain…

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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A particular fruit's weights are normally distributed, with a mean of 419 grams and a standard deviation of 7 grams.If you pick 18 fruit at random, what is the probability that their mean weight will be between 418 grams and 424 grams (Give answer to 4 decimal places.)
Suppose that the miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 38.8 mpg and 4.1 mpg, respectively. What is the probability that a randomly selected passenger car gets at least 45 mpg? What is the probability that a randomly selected passenger car gets between 35 and 40 mpg? An automobile manufacturer wants to build a new passenger car with an mpg rating that improves upon 99% of existing cars. What is the minimum mpg that would achieve this goal?
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 5 inches. What is the probability that an 18-year-old man selected at random is between 65 and 67 inches tall? If a random sample of ten 18-year-old men is selected, what is the probability that the mean height x is between 65 and 67 inches?
The average weekly unemployment benefit in Idaho is $272. Suppose that the benefits are normally distributed with a standard deviation of $43. Find the probability that the average weekly u employment benefit of a random sample of 15 benefits chosen in Idaho is less than U.S. average, which is $299.
Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard deviation of 424.7 and 21.47, respectively. What is the probability that on a given day the supermarket will sell above 440 gallons of milk?
6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
The 3-point shooter star of your favourite team usually attempts twelve 3-point shots in a basketball game. The team record shows that the shooter makes 45% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 2 standard deviation more than the expected?
A manufacturer knows that their items have a normally distributed length, with a mean of 6.1 inches, and standard deviation of 1 inches. If one item is chosen at random, what is the probability that it is less than 3.9 inches long?
Suppose the weight of turkeys in a store are normally distributed with mean 15.5 lb and standard deviation 2 lb. If a turkey is grabbed at random what is the probability that the weight will be less than 16 lb?
A report on egg consumption shows that people living in China eat an average of 196 eggs each year with a standard deviation of 18.3 eggs. If a group of 81 Chinese people are selected at random, what is the probability that the average egg consumption of this group will be more than 200 eggs?

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Suppose that the score of a certain standardized test is normally distributed with mean u = 68 and standard deviation o = 8. Suppose that three test-takers are randonly selected. What is the probability that all three of them scored at least an 70?