The joint distribution of two random variables X and Y is tabulated below. Complete the table by filling in the marginal distributions of X and of Y. Value of Y -3 -1 4 -4 0.19 0.03 0.01 -2 0.10 0.08 0.07 Value of X 1 0.02 0.05 0.12 3 0.10 0.00 0.22 4 0.01 0.00 0.00
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- The joint distribution of the pair of random variables as given in the following table: 0 Y 1 2 -10 X 0 10 0.2 0.1 0 0.066 0.046 0.052 0.072 0.042 O No answer 0.1 0.2 0 0.1 0.1 0.2 A random sample of 4 is taken of the random variable X. What is pZX₁/425? (EX//425) ²ty1 A random variable X has a mean of 10 and variance of 9 and is of unknown distribution. Find p (5 < X < 15).
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- If ZZ is a random variable from a standard normal distribution and if P(Z<b)=0.72P(Z<b)=0.72, then P(Z<−b)=0.28P(Z<-b)=0.28. true or falseλ = 100 for a Y random variable with a Poisson distribution. Find the probability that the Y random variable is between 96 and 112 using the Normal approximation of the Poisson distribution.Which of the following statement is INCORRECT? If Y, follows the standard normal distribution and Y, follows a chis-square distribution with degrees of freedom n, then nY/Y t distribution. If X1,.., Xn is a random sample from a normal population with population mean 1 and variance 1, then (X -1) + (X - 1 (X, - 1) follows a chi-square distribution with degrees of freedom n. If X,..., Xn is a random sample from a normal distribution with population mean 0 and a known variance o, then must follow a distribution, where X denotes the sample mean and S denotes the sample standard deviation. If T follows at distribution with degrees of freedom n, then T must follow an F distribution with degrees of freedom 1 and n.