The average number of miles (in thousands) that a car's tire will function before needing replacement is 71and the standard deviation is 19.Suppose that 18 randomly selected tires are tested.Round all answers to 4 decimal places if necessary.a. What is the distribution of ?x~ N(b. What is the distribution of ?I ~ Nc. If a randomly selected individual tire is tested, find the probability that the number of miles (inthousands) before it will need replacement is between 68.7 and 73.8.d. For the 18 tires tested, find the probability that the average miles (in thousands) before need ofreplacement is between 68.7 and 73.8.e. For part d), is the assumption that the distribution is normal necessary? No Yes

Given data, μ=71σ=19n=18we have to complete the distribution and their probabilities

Answered: The average number of miles (in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 240 feet and a standard deviation of 48 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 186 feet? (Round your answer to four decimal places.) ch6#4
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 57 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
Please explain how to solve as well.
benk is 9.2 minutes with a standard deviation of The average waiting time for a drive in 2.6 minutes. Assume that the times A. Determine the probability, to 3 decimal places, t ustomer will have to wait less than 6 minutes. B. 20% of all customers will have to wait more than minutes. Round to 1 decimal place.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X - the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. Find the probability that a randomly selected person at the hot springs stays longer then 85 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
Please answer B & C.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 63 minutes and a standard deviation of 15 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that a randomly selected person at the hot springs stays longer then 68 minutes. C. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
D,E, and F
SubPArt. Pls answer the rest
The average production cost for major movies is 63 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible 1. For the group of 35 movies, find the probability that the average production cost is between 61 and 66 million dollars
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