Answered: The time it takes for a student to…

The time it takes for a student to finish an aptitude test (in hours) has a density function of the form Sc(x-1)(2– x) if1

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

The time it takes for a student to finish an aptitude test (in hours) has a density function
of the form
Sc(x-1)(2– x) if1<x< 2
f(x) =
elsewhere.
a) Determine the constant c.
b) Calculate the distribution function of the time it takes for a randomly selected
student to finish the aptitude test.
c) What is the probability that a student will finish the aptitude test in less than 75
1
minutes? Between 1- and 2 hours?
d) Find the mode.

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