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(b) The time taken (in hours) by students to complete a statistics assignment can be modelled by the continuous random variable X. The probability density function of X is given by 32 (3x²-2x²³), 0≤x≤1 1/2, otherwise, (i) (ii) f(x) = {27 0, [Show your answer in fraction.] Find the cumulative distribution function of X. Find the probability that a student took between one quarter and three quarters of an hour to complete the assignment.

(b) The time taken (in hours) by students to complete a statistics assignment can be modelled by the continuous random variable X. The probability density function of X is given by 32 (3x²-2x²³), 0≤x≤1 1/2, otherwise, (i) (ii) f(x) = {27 0, [Show your answer in fraction.] Find the cumulative distribution function of X. Find the probability that a student took between one quarter and three quarters of an hour to complete the assignment.

A First Course in Probability (10th Edition)
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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(b) The time taken (in hours) by students to complete a statistics assignment can be modelled by the continuous random variable X. The probability density function of X is given by 32 (3x²-2x²³), 0≤x≤1 1/2, otherwise, (i) (ii) f(x) = {27 0, [Show your answer in fraction.] Find the cumulative distribution function of X. Find the probability that a student took between one quarter and three quarters of an hour to complete the assignment.
Transcribed Image Text:(b) The time taken (in hours) by students to complete a statistics assignment can be modelled by the continuous random variable X. The probability density function of X is given by 32 (3x²-2x²³), 0≤x≤1 1/2, otherwise, (i) (ii) f(x) = {27 0, [Show your answer in fraction.] Find the cumulative distribution function of X. Find the probability that a student took between one quarter and three quarters of an hour to complete the assignment.
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