b)Universiti Teknologi MARA Cawangan Pahang has conducted a survey to know theperception of the students towards online and distance learning. A mail questionnairewas distributed. The proportion of people who respond to a certain mail questionnaire isa continuous random variable X, which has the probability density function as follow;i)ii)iii)iv)) = { / (²x - x)f(x) =1≤x≤3elsewhereCompute the probability that X is less than 2.5Calculate the expected value of XDetermine E(50 – 7X).Given that E(X²) = 5. Find the variance of X.(2 ma

Answered: Image /qna-images/answer/83aa1182-126a-4ac2-b425-cead1dd26048.jpg

Answered: i) ii) iii) iv) Compute the probability…

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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i) ii) iii) iv) Compute the probability that X is less than 2.5 Calculate the expected value of X Determine E (50 - 7X). Given that E(X²) = 5. Find the variance of X.