# Solution - Probability Distribution - Probability Density Function (P.D.F.)

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#### Question

Given the p. d. f. (probability density function) of a continuous random variable x as :

f(x)=x^2/3, -1

= 0 , otherwise

Determine the c. d. f. (cumulative distribution function) of x and hence find P(x < 1), P(x ≤ -2), P(x > 0), P(1 < x < 2)

#### Solution

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The following is the p.d.f. (ProbabiIity Density Function) of a continuous random variable X :

f(x)=x/32,0

= 0 otherwise

(a) Find the expression for c.d.f. (Cumulative Distribution Function) of X.

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The time ( in minutes) for a lab assistant to prepare the equipment for a certain experiment is a random variable X taking values between 25 and 35 minutes with p.d.f

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Solution for concept: Probability Distribution - Probability Density Function (P.D.F.). For the courses 12th HSC Arts, 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)
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