The sale price of a certain model of grand pianoacross the country is approximately normallydistributed with a mean of $81,000 and a standarddeviation of $3,900.a) What is the probability of a grand piano selling formore than $82,200b) Consider a set of 20 grand pianos. What is theprobability that 5 or less of the pianos sell for morethan $82,200?c) As these pianos sell across the country, what is theprobability that the first piano that sells for morethan $82,200 is the third piano?

The sale price of a certain model of grand piano is normally distributed with mean $81,000 and a…

Answered: The sale price of a certain model 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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need help please
A waiterbelieves the distribution of his tips has a model that is slightly skewed to the left, with a mean of $8.60 and a standard deviation of $4.20. He usually waits on about 50 parties over a weekend of work. a) Estimate the probability that he will earn at least $450. b) How much does he earn on the best 5% of such weekends?
According to the US energy administration, the mean monthly household electric bill in the united states is $99.70 with a standard deviation of $20. given that household electric bills follow a normal distribution, what is the probability that a randomly chosen household electric bill: a) is over $131.50 b) is less than $80?
A study indicates that 18 to 24-year olds spend a mean of 135 minutes watching video on their smartphones per month. Assume that the amount of time watching video on a smartphone per month is normally distributed and that the standard deviation is 10 minutes. What is the probability that an 18- to 24-year-old spends less than 130 minutes watching video on his or her smartphone per month? (please show me how you got the answer)
According to the bureau of labor statistics the average weekly pay for a U.S production worker was $441.Assume that available data indicate that production worker wages were normally disturbed with a standard deviation of $90 a.What is the probability that a worker earned between $400 and $500 per week? b.How much did a production worker have to earn per week to be in the top 20% of wages earners? c.For a randomly selected production,what is the probability the worker earned less than $250 per week?
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.65.6 days and a standard deviation of 2.12.1 days. What is the probability of spending more than two days in recovery? A.) 0.9568 B.) 0.0432 C.) 0.8922 D.) 0.0401
A recent survey reported that 38% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) d. What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six? The mean number of 18- to 29-year-olds who own tablets out of six surveyed is. (Type an integer or a decimal. Round to four…
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
Please help.
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).
A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. a) Find the probability that his height is less than 66 inches. b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. d) Find P10 , the 10th percentile please show all steps using excel formulas

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