The joint probability distribution of the random variables is f(x,y)= 8xy, 0<=y<=x<=1. fine the covarience of x and y
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The joint
f(x,y)= 8xy, 0<=y<=x<=1. fine the
The joint probability distribution of the random variables is
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- If a discrete random variable X has the following probability distribution: X -2, - 1, 0, 1, 2 P(X) 0.2, 0.3, 0.15, 0.2, 0.15 Use this to find the following: (a) The mean of X and E[X^2]. (b) The probability distribution for Y = 2X^2 + 2 (i.e, all values of Y and P(Y )). (c) Using part (b) (i.e, the probability distribution forY ), find E[Y ]. (d) Using part (a), verify your answer in part (c) for E[Y ]. **Note: Please do not just copy from Chegg!A continuous random variable X is uniformly distributed between -5 and 5. What is the probability of measuring X = 2 exactly?Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random variable with CDF F(x) = 1 − e-x/3 x ≥ 0 What is the probability that the battery lasts between 12 to 15 months?
- X is a random variable such that X ~ B(n, p) where mean is 2 and 3 variance is . Find the probability of X is not less than 7. 2Please help with this practice problemX1, X2, X3, and X4 are normally distributed random variables: X, - N(0,0), X, - N(0,1), X3 - N(1,0), and X4 - N(1,1). The variable(s) which follow(s) a standard normal distribution is (are) X, Y1, Y,, and Y, are normally distributed random variables. Use the normal cumulative distribution function to answer the following questions. If Y, - N(5,9), Pr (Y, 55.5) =. If Y2 - N(0,25), Pr (Y2 > 10) = If Y3 - N(29,16), Pr (20s Y3 5 40) =U. (Round your answers to four decimal places.)
- Let X and Y be independent exponential random variables with parameters 2 and 3. (a) What is the probability that X + Y > 1. (b) Conditional on X + Y = 1, what is the distribution of X.PLEASE SHOW COMPLETE SOLUTIONJust a quick question for a derived random variable, how do you know that f(m) = f(x) abs(dx/dm)? Is that a theorem?
