Let X and Y has joint probability density function AX, Y) = 11 ^2 e-^, * - A,y ,0
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- The median of the random variable X whose probability density function 3 =x² ,0 < x < 2 - - f(y) = }2 ,0. W. isSuppose that a positive continuous random variable X has probability density function given by f(x)=c(14-5x^2), where c is a constant. What is the variance of this random variable? TYPE YOUR ANSWER AS THE NEAREST NUMBER WITH TWO DECIMAL DIGITS.What is the expected value of a continuous random variable X with a probability density function f(x) = (1/sqrt(2 * pi)) * e^-((x^2)/2)?
- The (continuous) random variable X has pdf f(x)=(x-80)/2500 * e^[-(x-80)/50] for x>80 and 0 otherwise. Find the mode. Give an exact answer.a continuous random variable x has the probability density function given as f(x)={ ae^(-x/5) x>0. 0 otherwise. find the value of a and show that for any two positive numbers s and t,. p(x>s+t|x>s)=p(x>t)What is the variance of a continuous probability distribution function with the probability density function f(x) = 4(x-1)^2 for 0 < x < 2?
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