Quick questions on Continuous random variables: the pdf, cdf, and expectation and variance by integration - OCR A-Level Further Maths A

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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A pdf is

f(x) = cx

for

0 \le x \le 2

. Find

c

. [2 marks]

What is q2?

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Given a cdf

F(x) = \tfrac{x^2}{9}

for

0 \le x \le 3

, find the pdf. [2 marks]

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