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 .37904 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? 0.16927 ✓ 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? 0.14615

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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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
.37904
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?
0.16927
✓
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?
0.14615
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 .37904 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? 0.16927 ✓ 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? 0.14615
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