The average number of miles (in thousands) that a car's tire will function before needing replacement is 64and the standard deviation is 12. Suppose that 45 randomly selected tires are tested. Round all answers to4 decimal places where possible and assume a normal distribution. c. If a randomly selected individual tire is tested, find the probability that the number of miles (inthousands) before it will need replacement is between 66.1 and 67.6.d. For the 45 tires tested, find the probability that the average miles (in thousands) before need ofreplacement is between 66.1 and 67.6.e. For part d), is the assumption that the distribution is normal necessary? O No Yes

It is given that the mean is 64 and the standard deviation is 12.

Answered: a randomly dividual tested, probability…

A First Course in Probability (10th Edition)

10th Edition

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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ? , ? )b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ?c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?
The probability that a restaurant passes itshealth department inspection is 0.94. Theowners of 58 restaurants are surveyed to seeif their restaurants passed inspection. Find the standard deviation. A) 1.8245 B) 2.1040 C) 1.8086 D) 1.8655 E) 2.3589
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D5) The 3-point shooter star of your favourite team usually attempts eight 3-point shots in a basketball game. The team record shows that the shooter makes 30% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 1.25 standard deviation more than the expected?
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