c) In a sample of 100 newly manufactured automobile tires, 7 are found to have minor flaws in the tread. If four newly manufactured tires are selected at random and installed on a car. Suggest a statistical method/formula to use if you want to estimate the probability that none of the four tires have a flaw? i. ii. Define the random variable in the problem 3c) and hence, the distribution of such random variable?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Question 3
Two methods have been developed to determine the nickel content of steel. In
a sample of five replications of the first method on a certain kind of steel, the
average measurement (in percent) was = 3.16 and the standard deviation
was s, = 0.042. The average of seven replications of the second method was
ỹ = 3.24 and the standard deviation was s = 0.048.
a) Determine if there is a difference in the mean measurements between
the two method and explain the most likely assumption that could be
made before solving this problem?
b) What informed your choice of solution method?
c) In a sample of 100 newly manufactured automobile tires, 7 are found to
have minor flaws in the tread. If four newly manufactured tires are
selected at random and installed on a car.
Suggest a statistical method/formula to use if you want to
estimate the probability that none of the four tires have a flaw?
Define the random variable in the problem 3c) and hence, the
distribution of such random variable?
ii.
Transcribed Image Text:Question 3 Two methods have been developed to determine the nickel content of steel. In a sample of five replications of the first method on a certain kind of steel, the average measurement (in percent) was = 3.16 and the standard deviation was s, = 0.042. The average of seven replications of the second method was ỹ = 3.24 and the standard deviation was s = 0.048. a) Determine if there is a difference in the mean measurements between the two method and explain the most likely assumption that could be made before solving this problem? b) What informed your choice of solution method? c) In a sample of 100 newly manufactured automobile tires, 7 are found to have minor flaws in the tread. If four newly manufactured tires are selected at random and installed on a car. Suggest a statistical method/formula to use if you want to estimate the probability that none of the four tires have a flaw? Define the random variable in the problem 3c) and hence, the distribution of such random variable? ii.
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