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- Probability Distribution - Probability Density Function (P.D.F.)
Given the p. d. f. (probability density function) of a continuous random variable x as :
= 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)
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
` =0 " " otherwise`
What is the probability that preparation time exceeds 33 minutes? Also find the c.d.f. of X.
The following is the p.d.f. (ProbabiIity Density Function) of a continuous random variable X :
= 0 otherwise
(a) Find the expression for c.d.f. (Cumulative Distribution Function) of X.
(b) Also find its value at x = 0.5 and 9.