Shaalaa.com | Probability density functions
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.
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)
If the p.d.f. of a continuous random variable X is given as
`f(x)=x^2/3` for -1< x<2
then c.d.f. fo X is
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"`
Wat is the probability that preparation time exceeds 33 minutes? Also find the c.d.f. of X.
- Probability Distribution - Expected Value, Variance and Standard Deviation of a Discrete Random Variable