4. 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? MAT 263 Assignment 1 Page 3 of 3 Probability Theory (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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4. 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?
(e) What is the probability that she made at least 6 calls to earn $30?
MAT 263
Assignment 1 Page 3 of 3
Probability Theory
(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:4. 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? (e) What is the probability that she made at least 6 calls to earn $30? MAT 263 Assignment 1 Page 3 of 3 Probability Theory (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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