A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with mean 16.0 gallons and standard deviation of 0.1 gallons. a. What is the probability that a randomly selected tank will hold at least 16.15 gallons? b. What is the probability that a randomly selected tank will hold between 15.8 gallons and 16.1 gallons? c. What is the probability that a randomly selected tank will differ from the mean by more than 0.25 gallons? d. What is the probability that randomly selected tank will differ from the mean by less than 0.05 gallons?
A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with mean 16.0 gallons and standard deviation of 0.1 gallons. a. What is the probability that a randomly selected tank will hold at least 16.15 gallons? b. What is the probability that a randomly selected tank will hold between 15.8 gallons and 16.1 gallons? c. What is the probability that a randomly selected tank will differ from the mean by more than 0.25 gallons? d. What is the probability that randomly selected tank will differ from the mean by less than 0.05 gallons?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with mean 16.0 gallons and standard deviation of 0.1 gallons.
a. What is the
b. What is the probability that a randomly selected tank will hold between 15.8 gallons and 16.1 gallons?
c. What is the probability that a randomly selected tank will differ from the mean by more than 0.25 gallons?
d. What is the probability that randomly selected tank will differ from the mean by less than 0.05 gallons?
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