A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] a. Calculate the probability that there are more than 5 returned items in a certain day. b. Calculate the probability that there are 4 returned items in a certain day. c. Calculate the probability that there are 4 returned items and at least three have available replacements in a certain day.
A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] a. Calculate the probability that there are more than 5 returned items in a certain day. b. Calculate the probability that there are 4 returned items in a certain day. c. Calculate the probability that there are 4 returned items and at least three have available replacements in a certain day.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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![A department store receives an average of 5 returned items per day. The probability that a returned item has an
available replacement is 0.65. [Hint: there are two separate distributions here.]
a. Calculate the probability that there are more than 5 returned items in a certain day.
b. Calculate the probability that there are 4 returned items in a certain day.
c. Calculate the probability that there are 4 returned items and at least three have available replacements
in a certain day.
d. Calculate the probability that there are 4 returned items and none has available replacements in a
certain day.
e. Calculate the variance and the mean of the returned items.
1. Calculate the variance and the mean of the replaced items.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2482e0eb-dd9b-4353-b754-c42e8558d084%2F0a5bacef-74cb-4de0-9b18-887631821f80%2Fg9hxzv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A department store receives an average of 5 returned items per day. The probability that a returned item has an
available replacement is 0.65. [Hint: there are two separate distributions here.]
a. Calculate the probability that there are more than 5 returned items in a certain day.
b. Calculate the probability that there are 4 returned items in a certain day.
c. Calculate the probability that there are 4 returned items and at least three have available replacements
in a certain day.
d. Calculate the probability that there are 4 returned items and none has available replacements in a
certain day.
e. Calculate the variance and the mean of the returned items.
1. Calculate the variance and the mean of the replaced items.
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