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Questions › DSE › DSE 2017 › Q31
2 marks, −0.666666666666667Statistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsModerateabout 3 min

DSE 2017 Question 31: Random variables and standard distributions

An insuree has a policy against a random loss X∈[0,1]X\in[0,1]X∈[0,1] with density f(x)=2xf(x)=2xf(x)=2x on (0,1)(0,1)(0,1); if loss XXX occurs the insurer pays X−CX-CX−C (the insuree bears C∈(0,1)C\in(0,1)C∈(0,1)). If the probability that the insurance payment is less than 1/21/21/2 equals 0.640.640.64, then CCC is

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An insuree has a policy against a random loss X∈[0,1] with density f(x)=2x on (0,1); if loss X occurs the insurer pays X-C (the insuree bears C∈(0,1)). If the probability that the insurance payment is less than 1/2 equals 0.64, then C is (A) 0.1 (B) 0.3 (C) 0.4 (D) 0.6

Also written as: An insuree has a policy against a random loss X in [0,1] with density f(x)=2x on (0,1); if loss X occurs the insurer pays X-C (the insuree bears C in (0,1)). If the probability that the insurance payment is less than 1/2 equals 0.64, then C is

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.

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

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Question from the DSE 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.