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Questions › JNU › JNU SSS 2018 › Q45
5 marksStatistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsModerateabout 5 min

JNU SSS 2018 Question 45: Random variables and standard distributions

Let the probability density function of the random variable XXX be as follows :

(i) f(x)=c(4x−2x2)f(x) = c(4x - 2x^2)f(x)=c(4x−2x2), if 0<x<20 < x < 20<x<2 and (ii) f(x)=0f(x) = 0f(x)=0 otherwise. What is the value of f(1)f(1)f(1)?

(Note that your answer should not be in terms of ccc.)

Answer and worked solution

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Plain-text version

Let the probability density function of the random variable X be as follows: (i) f(x) = c(4x - 2x²), if 0 < x < 2 and (ii) f(x) = 0 otherwise. What is the value of f(1)? (Note that your answer should not be in terms of c .)

Also written as: Let the probability density function of the random variable X be as follows: (i) f(x) = c(4x - 2x^2), if 0 < x < 2 and (ii) f(x) = 0 otherwise. What is the value of f(1)? (Note that your answer should not be in terms of c .)

Random variables and standard distributions has come up 173 times in 7 exams since 2005.

What this question tests

This question is on Random variables, PMFs, PDFs and CDFs, part of Random variables and standard distributions in Statistics.

Describing a random variable by its mass, density or distribution function.

TestStop has 33 past-paper questions on this subtopic.

Practise Random variables and standard distributionsMore on Random variables, PMFs, PDFs and CDFs

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Question from the JNU SSS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.