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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In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. Find the probability that a randomly selected district had fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.
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