.) The probability density function of the random variable X is given by:-{couSce-2 for x ≥ 0otherwise.f(x) =For what value of c is this a legit density function? Find the value for c, then calculateP(X > 2).

Answered: Image /qna-images/answer/f76b4caa-448d-40d5-b3a6-7d23f7ebf9f0.jpg

.) The probability density function of the random variable X is given by: for x > 0 otherwise. f(x) = For what value of c is this a legit density function? Find the value for c, then calculate P(X> 2).

.) The probability density function of the random variable X is given by: for x > 0 otherwise. f(x) = For what value of c is this a legit density function? Find the value for c, then calculate P(X> 2).

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

See similar textbooks

Similar questions

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.
The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.
The pH water samples from a specific lake is a random variable X with probability density function. f(x) = {8 (7– x)², 5 < x<7 0, elsewhere a. ) Find E(X) ( expected value or mean) b. ) Find V(X) ( Variance)
Just a,b,c
Let fx (2) be the probability density function of the random variable X. 3 2 f(z) - 28 -1
Let X be a random variable with the probability density function. f(r) = 2c for x = 1,2,3, 4, ..., 0 for some constant c. What is the value of c What is the probability that X is even?
The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with probability density function defined by f(x): - 9.5 x 45 Find the following probabilities for the annual rainfall in a randomly selected year. Round your answers to 4 decimal places as needed. What is the probability that the annual rainfall is greater than 3 inches per year? What is the probability that the annual rainfall is less than 2 inches per year? What is the probability that the annual rainfall is between 2 and 4 inches per year?
Q.2 Let X has the following probability density function: fx(x) = a e-ax;x > 0 Find moment generating function and then using it find mean and variance. End of Quiz
Suppose that a random variable X has the following probability density function. SC (64-x²) 0 ≤ x ≤ 8 otherwise f(x) = {C Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)
Please include all steps.
ONLY NEED PART E
The probability density function of a continuous random variable is given by 1 1 4 f (x) = - 4 for x > 0. a) Find P(X> 5). b) Find the mean of X. c) Find the CDF (cumulative distribution function). d) Use the CDF to find the median of X.