A telemarketer is paid $10 for each sale she makes. The probability that any call she makes results in a sale is 0.4. (a) What is the probability that she made at most 6 calls to earn $10? (b) What is the probability that she made exactly 6 calls to earn $30? (c) What is the probability that she made at least 6 calls to earn $30? (d) If she made 6 calls per hour, what is the probability that she earned $80 in two hours? (e) Explain the relationship (i.e the similarity and the difference) be- tween Binomial and Negative binomial distributions.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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A telemarketer is paid $10 for each sale she makes. The probability that
any call she makes results in a sale is 0.4.
(a) What is the probability that she made at most 6 calls to earn $10?
(b) What is the probability that she made exactly 6 calls to earn $30?
(c) What is the probability that she made at least 6 calls to earn $30?
(d) If she made 6 calls per hour, what is the probability that she earned
$80 in two hours?
(e) Explain the relationship (i.e the similarity and the difference) be-
tween Binomial and Negative binomial distributions.
Transcribed Image Text:A telemarketer is paid $10 for each sale she makes. The probability that any call she makes results in a sale is 0.4. (a) What is the probability that she made at most 6 calls to earn $10? (b) What is the probability that she made exactly 6 calls to earn $30? (c) What is the probability that she made at least 6 calls to earn $30? (d) If she made 6 calls per hour, what is the probability that she earned $80 in two hours? (e) Explain the relationship (i.e the similarity and the difference) be- tween Binomial and Negative binomial distributions.
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