please give all the correct answer with explanations, include any theorem if it is used. thankyou
please give all the correct answer with explanations, include any theorem if it is used. thankyou...
give the answer in detail 9. Let X be a continuous random variable with probability density function given by 0 otherwise Find the probability density function of Y X2 +3
Question 4 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function (x)-{06r' + 18x-12 ; ishervise : otherwise (iv) Determine the mean and variance of X (v) Determine Var (4X?). Question 5 Consider the following probability distribution for X 30.3 10.2 0.2 0.1 (i) Find E(X). (ii) Find E(2x +4x). (ii) Determine the MGF of X (iv) Calculate Var (X) using MGF ofx Question 6...
With Explanation Please. 2- Choose the correct answer If the continuous random variable X is uniformly distributed with a mean of 70 and a standard deviation of (10v3). The probability that X lies between 80 and 110 is: a. Farundom variable hass pobabiliy densitE osone o the ab A 1/4 D 2/3 b. If a random variable X has a probability density functiontada 30 +4) 0sxs1 then the variance of X is closest to A/0.084 rre . B 0.519 С...
Please don’t answer me by hand written.. Would be better if you use your PC to answer so it’s clear for me to read . Thanks ! Question 4 A continuous random variable X which represents the amount of sugar in kg) used by a family per week, has the probability density function -6x+18r-12 1ss2 otherwise iv) Determine the mean and variance of X (v) Determine Var (4X2). Question 5 Consider the following probability distribution for X 0.2 0.3 0.2...
PLEASE ANSWER ALL QUESTION 1 1 points Save Answer A random variable is a uniform random variable between 0 and 8. The probability density is 1/8, when 0<x<8 and O elsewhere. What is the probability that the random variable has a value greater than 2? QUESTION 2 1 points Save Answer The total area under a probability density curve of a continuous random variable is QUESTION 3 1 points Save Answer X is a continuous random variable with probability density...
(e) A continuous random variable X has the probability density function given by: f(x) = ( 2x/√ k for 0 ≤ x ≤ 2 0 otherwise. i. Show that the constant k equals 16. ii. Find the expected value of X. iii. Find the variance of X. iv. Derive the cumulative distribution function, F(x). v. Calculate P(X < 1 | X < 1.5)
please answer correctly and show work 10. (12 points, 6+6) Let the joint probability density function of a bivariate continuous random variable (X,Y) is defined by Sc(x + y) if 0 Sy su <1, f(x,y) = 3 0 otherwise. (1). Find the value of constant c. (2). Find E(X)
Problem 5. Let X be a continuous random variable with a 2-paameter exponential distribution with parameters α = 0.4 and xo = 0.45, ie, ;x 2 0.45 x 〈 0.45 f(x) = (2.5e-2.5 (-0.45) Variable Y is a function of X: a) Find the first order approximation for the expected value and variance of Y b) Find the probability density function (PDF) of Y. c) Find the expected value and variance of Y from its PDF Problem 5. Let X...
Let X be a continuous random variable with probability density function fx()o otherwise Find the probability density function of YX2 Let X be a continuous random variable with probability density function fx()o otherwise Find the probability density function of YX2
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].