3. The commute time for Cypress College students who drive from their home to the college follows a normaldistribution with a mean of 26 minutes and a standard deviation of 8 minutes.a) What percent of students have a commute time that is longer than 35 minutes? (Use a whole number asyour answer in percent form, ex: 27%.)b) What is the probability that it will take a student more than 40 minutes to drive to school? (Round youranswer to three decimal places.)c) What percent of students have a commute time between 20 and 30 minutes? (Use a whole number asyour answer in percent form, ex: 27%.)d)If it takes a student 15 minutes to get to school, what would be the percentile ranking for this student'scommute time? (Put your answer in percentile form, ex: 36th Percentile.)e) Determine the two commute times that will make up the middle 95% of student commutetimes. (Round your answers to the first decimal place.)

Let X be the random variable from normal distribution with mean (μ) = 26 and standard deviation (σ)…

Answered: 3. The commute time for Cypress College…

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 salaries of 1200 pro athletes form a normal distribution with a mean of $79,000 and a standard deviation of $30,000. A "superstar" is defined as anybody in the top 2% of the salary distribution. What is the minimum salary of a superstar? Select one: a. $85,150 b. $140,500 c. $209,000 O d. $109,000
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
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The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?
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