The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation of $0.45. A) What is the probability that a randomly selected value is below $3.05? B) What is the probability that the mean of 30 randomly selected prices is above $3.95? C) What price would represent the 90th percentile of all gas prices?
The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation of $0.45. A) What is the probability that a randomly selected value is below $3.05? B) What is the probability that the mean of 30 randomly selected prices is above $3.95? C) What price would represent the 90th percentile of all gas prices?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation
of $0.45.
A) What is the probability that a randomly selected value is below $3.05?
B) What is the probability that the mean of 30 randomly selected prices is above $3.95?
C) What price would represent the 90th percentile of all gas prices?
D) What is the mean and standard deviation of a sampling distribution of 50 gas prices?
E) A gas station has priced their gas at $5.10. Using statistics, what would you tell someone
who wants to buy gas from that gas station. Your answer must use statistics, not just "its
expensive."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5340c3b9-1332-4ae7-b4cf-0f576e0b0993%2F78e1b062-8bb5-4116-b70b-a0fdae316ea4%2Fskhjb47_processed.png&w=3840&q=75)
Transcribed Image Text:The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation
of $0.45.
A) What is the probability that a randomly selected value is below $3.05?
B) What is the probability that the mean of 30 randomly selected prices is above $3.95?
C) What price would represent the 90th percentile of all gas prices?
D) What is the mean and standard deviation of a sampling distribution of 50 gas prices?
E) A gas station has priced their gas at $5.10. Using statistics, what would you tell someone
who wants to buy gas from that gas station. Your answer must use statistics, not just "its
expensive."
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