The check-out wait times for Grocery Store A are approximately normal with mean 8 minutes and standard deviation 2 minutes. The check-out wait times for Grocery Store B has an unknown distribution with mean 5 minutes and standard deviation 1 minute. A customer shops at Grocery Store A 16 random times throughout the year and at Grocery Store B 36 random times throughout the year. (a) Find the probability that the customer's mean wait time at Store A for the entire year is less than 9 minutes? (b) Determine the probability that the variance in the customer's wait times at Grocery Store A for the entire year is greater than 7.33, i.e. P(Sž>7.33). (c) Determine the probability that the customer's mean wait time at Grocery Store A for the entire year is less than 2 minutes longer than the mean wait time at Grocery Store B for the entire year, i.e., P(XA – Xg < 2).

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The check-out wait times for Grocery Store A are approximately normal with mean 8 minutes and
standard deviation 2 minutes. The check-out wait times for Grocery Store B has an unknown
distribution with mean 5 minutes and standard deviation 1 minute. A customer shops at Grocery
Store A 16 random times throughout the year and at Grocery Store B 36 random times throughout
the year.
(a) Find the probability that the customer's mean wait time at Store A for the entire year is less
than 9 minutes?
(b) Determine the probability that the variance in the customer's wait times at Grocery Store
A for the entire year is greater than 7.33, i.e. P(S3>7.33).
(c) Determine the probability that the customer's mean wait time at Grocery Store A for the entire
year is less than 2 minutes longer than the mean wait time at Grocery Store B for the entire year,
i.e., P(XA – XB < 2).
Transcribed Image Text:The check-out wait times for Grocery Store A are approximately normal with mean 8 minutes and standard deviation 2 minutes. The check-out wait times for Grocery Store B has an unknown distribution with mean 5 minutes and standard deviation 1 minute. A customer shops at Grocery Store A 16 random times throughout the year and at Grocery Store B 36 random times throughout the year. (a) Find the probability that the customer's mean wait time at Store A for the entire year is less than 9 minutes? (b) Determine the probability that the variance in the customer's wait times at Grocery Store A for the entire year is greater than 7.33, i.e. P(S3>7.33). (c) Determine the probability that the customer's mean wait time at Grocery Store A for the entire year is less than 2 minutes longer than the mean wait time at Grocery Store B for the entire year, i.e., P(XA – XB < 2).
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