Question 4 A continuous random variable X which represents the amount of sugar (in kg) used...
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...
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-102-x) 1sxs2 ; otherwise (0) (ii) (ii) Determine the value of c. Obtain cumulative distribution function Find P(X < 1.2). Consider the following cumulative distribution function for X. 06 0.8 1.0 Fx) 0.9 (i) Determine the probability distribution. (ii) Find P(X 1). (ii) Find P(OX5) Question 3 Consider the following pdf otherwise (i) (ii)...
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)-Ida-92-r) ; otherwise (i)Determine the value of c (ii) Obtain cumulative distribution function. iii) Find P(X 1.2)
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)-Ida-92-r) ; otherwise (i)Determine the value of c (ii) Obtain cumulative distribution function. iii) Find P(X 1.2)
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-1(2-xsxs2 ; otherwise f(x) (i) Determine the value of c ii) Obtain cumulative distribution function (iii) Find P(X<1.2). Question 2 Consider the following cumulative distribution function for X 0.3 0.6 0.8 0.9 1.0 (i) Determine the probability distribution. ii) Find P(X<1). iii Find P(O <Xs5). Consider the following pdf ,f(x) = 2k ; 1<x<2...
The temperature X (Celcius) at a randomly selected point in a commercial refrigerator is a random variable with probability density function 0, otherwise Determine the MGF of X.
(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)
A continuous random variable X has probability density function f(x) = a for −2 < x < 0 bx for 0 < x ≤ 1 0 otherwise where a and b are constants. It is known that E(X) = 0. (a) Determine a and b. (b) Find Var(X) (c) Find the median of X, i.e. a number m such that P(X ≤ m) = 1/2
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:
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