43% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, 3% also purchase popcorn. What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? If the proportion of customer who buys popcorn is 27% . Then find the probability that a customer will buy a popcorn or a soft drink?

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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Q7 (a)
43% of customers at the snack counter of a movie theater buy soft drinks.
Among those who buy soft drinks,
3% also purchase popcorn.
(i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use
this type of calculation to decide which products should be bundled to appeal to
Based on the probability so calculated, what is your recommendation
customers. Whether to bundle the products or not?
(ii) If the proportion of customer who buys popcorn is
27% . Then find the probability that a
customer will buy a popcorn or a soft drink?
(b)
Some electronic devices are better used than new: The failure rate is higher when they are new
than when they are six months old. For example,
52.70% of the personal music players of a particular
brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not
have this flaw, then only
7.300% fail in the first six months. Yours died after you had
it for three months. What are the chances that it has this flaw?
Transcribed Image Text:Q7 (a) 43% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, 3% also purchase popcorn. (i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? (ii) If the proportion of customer who buys popcorn is 27% . Then find the probability that a customer will buy a popcorn or a soft drink? (b) Some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 52.70% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 7.300% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?
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