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

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

MATLAB: An Introduction with Applications
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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The sale price of a certain model of grand piano across the country is approximately normally distributed with a mean of $81,000 and a standard deviation of $3,900. a) What is the probability of a grand piano selling for more than $82,200 b) Consider a set of 20 grand pianos. What is the probability that 5 or less of the pianos sell for more than $82,200? c) As these pianos sell across the country, what is the probability that the first piano that sells for more than $82,200 is the third piano?
Transcribed Image Text:The sale price of a certain model of grand piano across the country is approximately normally distributed with a mean of $81,000 and a standard deviation of $3,900. a) What is the probability of a grand piano selling for more than $82,200 b) Consider a set of 20 grand pianos. What is the probability that 5 or less of the pianos sell for more than $82,200? c) As these pianos sell across the country, what is the probability that the first piano that sells for more than $82,200 is the third piano?
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