Suppose you purchase for your firm 8 used cars from an auto leasing company that has 30 cars available. Unknown to you, 60% (that is, 18) of the 30 cars have falsified odometer readings. a. Use the hypergeometric distribution and calculate the probability that 6 of the 8 cars you purchased have falsified odometer readings. b. Now calculate the probability asked for in (a) using the binomial distribution. c. Which answer- (a) or (b)- is correct? Why?
Suppose you purchase for your firm 8 used cars from an auto leasing company that has 30 cars available. Unknown to you, 60% (that is, 18) of the 30 cars have falsified odometer readings. a. Use the hypergeometric distribution and calculate the probability that 6 of the 8 cars you purchased have falsified odometer readings. b. Now calculate the probability asked for in (a) using the binomial distribution. c. Which answer- (a) or (b)- is correct? Why?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Suppose you purchase for your firm 8 used cars from an auto leasing company that has
30 cars available. Unknown to you, 60% (that is, 18) of the 30 cars have falsified
odometer readings.
a. Use the hypergeometric distribution and calculate the probability that 6 of the 8 cars
you purchased have falsified odometer readings.
b. Now calculate the probability asked for in (a) using the binomial distribution.
c. Which answer - (a) or (b) - is correct? Why?
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