How would your answer to question 3 change if the standard deviation was $0.25 instead of $0.17? Calculate the probability that the price lies within 1.5 standard deviations of the mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Would you please solve sub-questions 4 and 5. Thank you.

According to AAA, the average price for a gallon of regular gas in North Carolina is $2.63. Assume that the gas price is normally distributed with a standard deviation of $0.17.

  1. Sketch the density function of the gas price. In your graph, indicate the probability that the price is greater than $2.75 (no calculations necessary).
  2. Calculate the probability that the price is greater than $2.75
  3. Suppose you were asked to calculate the probability that the price is greater than or equal to $2.75. Is this probability different from the one in question 5? Why or why not?
  4. How would your answer to question 3 change if the standard deviation was $0.25 instead of $0.17?
  5. Calculate the probability that the price lies within 1.5 standard deviations of the mean.
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