Question: Which of the following statement is FALSE? A: A chi-square distribution with 2 degrees of freedom is an exponential distribution. B: Gamma( 2, A) random variable can be seen as the sum of 2 independent exponential random variables. C: If a is a positive integer, Gamma(or, )) distribution can be used to model the time of the ath arrival of some event. D: Suppose that you model the time between emails arriving in your inbox as an exponential random variable with mean 10 minutes. You get an email at 2:10pm, then check your email at 2:20pm; unfortunately, you haven't received another email. Knowing this, the expected length of time after 2:20pm at which the next email will arrive is less than 10 minutes.Question: Which of the following is NOT a sufficient condition for the independence of X and Y? A: (x.v(x. y) = fx(x)fy (y) B: Fx.y(x. y) - Fx (x )Fy(y) C: fry(xly) - fx (x) D: fy x ( y( x ) - fr() E: E[XY] = E[X]ELY]Question: Suppose that the pair ( X. Y) has a bivariate normal distribution. Which of the following is true? A: Both the marginals of X and Y ; are normally distributed. B: The conditional distribution of X given Y = y is normally distributed. C. If X and Y are independent, then they are uncorrelated. D: If X and Y are uncorrelated, then they are independent. E: All of the above