A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
b)
Universiti Teknologi MARA Cawangan Pahang has conducted a survey to know the
perception of the students towards online and distance learning. A mail questionnaire
was distributed. The proportion of people who respond to a certain mail questionnaire is
a continuous random variable X, which has the probability density function as follow;
i)
ii)
iii)
iv)
) = { / (²x - x)
f(x) =
1≤x≤3
elsewhere
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.
(2 ma
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Transcribed Image Text:b) Universiti Teknologi MARA Cawangan Pahang has conducted a survey to know the perception of the students towards online and distance learning. A mail questionnaire was distributed. The proportion of people who respond to a certain mail questionnaire is a continuous random variable X, which has the probability density function as follow; i) ii) iii) iv) ) = { / (²x - x) f(x) = 1≤x≤3 elsewhere 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. (2 ma
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