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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Similar questions

For a recent 10k run, the finishers are normally distributed with mean 56minutes and standard deviation 10 minutes. Find the ninth decile for the finishing times. The ninth decile is ________ minutes. (Round to two decimal places as needed.)
The average number of words in a romance novel is 64,289 and the standard deviation is 17,272. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.b. Find the proportion of all novels that are between 62,562 and 79,834 words. ________________c. The 85th percentile for novels is words. (Round to the nearest word) ________________d. The middle 70% of romance novels have from _______ words to _______ words. (Round to the nearest word)
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 48 feet. We randomly sample 49 fly balls. Part A. B. C. are listed in the included images.
Find the proportion of Normally distributed observations with a z-score above -1.93. Give your answer to four decimal places.
Just do 2 and 3 please.
uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 307 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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?
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1506 and the standard deviation was 317. The test scores of four students selected at random are 1940, 1230, 2190, and 1400. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.)

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