Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of herrace times is normally distributed. We are interested in one of her randomly selected laps.O Part (a)Part (b)Give the distribution of X.N)129.72.28O Part (c)Find the percent of her laps that are completed in less than 130 seconds. (Round your answer to two decimal places.)54.62X %Part (d)The fastest 5% of her laps are under how many seconds? (Round your answer to two decimal places.)125.60sec

Answered: Image /qna-images/answer/6a230d18-06d0-4344-8a11-c166fa33cb3e.jpg

Answered: Terri Vogel, an amateur motorcycle…

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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The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of ¯x?
A uniform distribution has endpoints of 3 and 12. A. Determine the probability that a randomly selected value is either less than 4 or greater than 9. Report answer to 3 decimal places. B. Determine the value of the 70th percentile. Report answer to 1 decimal place.
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Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 61 miles per hour and 81 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately ________ % of vehicles travel between 61 miles per hour and 81 miles per hour.
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ent will 3. The average price of a personal computer is $949. If the computer prices are approximately normally distributed with a standard deviation of $100... a. the top 20% of personal computers cost more than what amount? b. the least expensive 10% of personal computers cost less than what amount?
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