The average retail price of gasoline (alltypes) for the first half of 2005 was 212.2 cents. What would the standard deviation have to be in order for a 15% probability that a gallon of gas costs less than $ 1.80?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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both questions please. thank you!

The average retail price of gasoline (alltypes) for the first
half of 2005 was 212.2 cents. What would the standard
deviation have to be in order for a 15% probability that a
gallon of gas costs less than $ 1.80?
The average time for a mail carrier to cover a route is 380
minutes, and the standard deviation is 16 minutes. If one
of these trips is selected at random, find the probability
that the carrier will have the following route time. Assume
the variable is normally distributed:
(a) At least 350 minutes
(b) At most 395 minutes
Transcribed Image Text:The average retail price of gasoline (alltypes) for the first half of 2005 was 212.2 cents. What would the standard deviation have to be in order for a 15% probability that a gallon of gas costs less than $ 1.80? The average time for a mail carrier to cover a route is 380 minutes, and the standard deviation is 16 minutes. If one of these trips is selected at random, find the probability that the carrier will have the following route time. Assume the variable is normally distributed: (a) At least 350 minutes (b) At most 395 minutes
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