TION 5. A bakery employs 3 bakers who all make brownies. Aunt Jemima makes 25% of the brownies, while Betty Crocker makes 45% and Timothy Leary makes 30%. Everyone makes mistakes though: Aunt Jemima burms 2% of her brownies, while Betty and Timothy burn 4% and 5% of theirs, respectively. (a) What is the probability that a certain brownie is burned? (b) Given that a brownie has been burned, what is the probability that it was baked by Betty Crocker? (c) Given that a brownie is not burned, what is the probability that it was baked by Timothy Leary?
TION 5. A bakery employs 3 bakers who all make brownies. Aunt Jemima makes 25% of the brownies, while Betty Crocker makes 45% and Timothy Leary makes 30%. Everyone makes mistakes though: Aunt Jemima burms 2% of her brownies, while Betty and Timothy burn 4% and 5% of theirs, respectively. (a) What is the probability that a certain brownie is burned? (b) Given that a brownie has been burned, what is the probability that it was baked by Betty Crocker? (c) Given that a brownie is not burned, what is the probability that it was baked by Timothy Leary?
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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![QUESTION 5. A bakery employs 3 bakers who all make brownies. Aunt Jemima makes 25%
of the brownies, while Betty Crocker makes 45% and Timothy Leary makes 30%. Everyone
makes mistakes though: Aunt Jemima burns 2% of her brownies, while Betty and Timothy
burn 4% and 5% of theirs, respectively.
(a) What is the probability that a certain brownie is burned?
(b) Given that a brownie has been burned, what is the probability that it was baked by Betty
Crocker?
(c) Given that a brownie is not burned, what is the probability that it was baked by Timothy
Leary?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd16c010b-e3a4-43fc-8f0e-3b236621d214%2F3bed8ab6-11e9-4887-803e-7e6bcd589072%2Fqxzkj15_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 5. A bakery employs 3 bakers who all make brownies. Aunt Jemima makes 25%
of the brownies, while Betty Crocker makes 45% and Timothy Leary makes 30%. Everyone
makes mistakes though: Aunt Jemima burns 2% of her brownies, while Betty and Timothy
burn 4% and 5% of theirs, respectively.
(a) What is the probability that a certain brownie is burned?
(b) Given that a brownie has been burned, what is the probability that it was baked by Betty
Crocker?
(c) Given that a brownie is not burned, what is the probability that it was baked by Timothy
Leary?
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