What is the probability that X is 4?
What is the probability that X is between 2 to 3? (use 4 decimal
places)
What is the expected value of X? (use 3 decimal places)
What is the probability that X is 4? What is the probability that X is between...
Question 2 (30 pts) Suppose that X is a continuous random variable with the following probability density function: 2 /(x) = (2 _-), for 3 < x 6 0, otherwise Develop a random-variate generator for the random variable X by using the inverse-transform technique.
2.6.17. The probability density function of the random variable X is given by 6x-21-3 -, 2<x<3 0, otherwise. Find the expected value of the random variable X.
6) If the probability density function of a continuous random variable X is f(x) =x/8 when 3<x < 5, f(x)=0 otherwise a) Find the expected value of this distribution. b) Find the variance of this distribution. c) Find the 25th percentile of this distribution.
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f() = (3-X)/4 i<< <3 10 otherwise (a) Compute the mean and variance of X. (b) Compute P(X <3/2). (c) Find the first quartile (25th percentile) for the distribution.
2. Le X be a continuous random variable with the probability density function x+2 18 -2<x<4, zero otherwise. Find the probability distribution of Y-g(X)- XI
2. Le X be a continuous random variable with the probability density function x+2 -2<x<4, zero otherwise. = , Find the probability distribution of Y-g(x)- 12 XI
121 Q1. If x is continuous variable and follows probability density function x/7; 2<x<4 f(x) = then find the value of P(2<x<3) ? 0; otherwise
1. Let X be a continuous random variable with probability density function f(x) = { if x > 2 otherwise 0 Check that f(-x) is indeed a probability density function. Find P(X > 5) and E[X]. 2. Let X be a continuous random variable with probability density function f(x) = = { SE otherwise where c is a constant. Find c, and E[X].
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
Find the mean of a continuous probability density function Question Consider a random variable X with probability density function given by f(x) for - 2 <3 < 2 otherwise. {$(4 – ) Calculate , the mean value of X. Provide your answer below: