coefficient of t3 in the pgf in the expension of E(t3)= (8C3)*(0.3)3*(0.7)5 = 0.254
option B is correct
For a discrete random variable X, you are given: E (0.3t 0.7)8 Calculate the coefficient of...
The moment generating function ф(t) of random variable X is defined for all values of t by et*p(x), if X is discrete e f (x)dx, if X is continus (a) Find the moment generating function of a Binomial random variable X with parameters n (the total number of trials) and p (the probability of success). (b) If X and Y are independent Binomial random variables with parameters (n1 p) and (n2, p), respectively, then what is the distribution of X...
If the discrete random variable X has a moment generating function given by My(t) = (e'-1) Find E(X + 2x2) and Var(2X + 40).
Find the probability generating function of a discrete random variable with probability mass function given by pX(k) = qk−1p, k = 1,2,..., where p and q are probabilities such that p + q = 1. We shall see later that this is called the geometric distribution function.
Let X be a discrete random variable. If the moment generating function of X is given by (1 – 0.6 + 0.6e')? The first moment of X is 8 Hint: Write the answer with one decimal point. Answer:
Let X be a discrete random variable whose distribution is given by the table below. W, P(X=w 2 0.01 4 0.40 9 0.32 11 0.27 (the probability that X equals a number outside of the left column is zero) Calculate: 1. E(X) 2 Var(x) 3. PX <4)
Cumulative distribution function The probability distribution of a discrete random variable X is given below: Value x of X P(x-x) 0.24 0.11 -2 0.26 0.11 Let Fx be the cumulative distribution function of X. Compute the following: X 5 ? 18+ (-2) - Px (-4) = 0
plz explain
Let X be a discrete random variable that takes on the Ivalues - 1,0lt and suppose P ( X = -1) =P ( X = 1) = 75 A. Find the moment generating Function Mx (t) of x. B. Use the moment generating function to find a formula for the nth moment E(X") of x.
Let X be a discrete random variable. If the moment generating function of X is given by (1 -0.9+0.9e) 15. The first moment of X is Hint: Write the answer with one decimal point. Answer.
Let X be a discrete random variable with probability mass function p(k) = 1/5, k = 1, 2, . . . , 5, zero elsewhere. (a) Find the moment generating function of X. (b) Use the moment generating function in (a) to determine the convolution of two identical probability mass functions given above. This is identical to asking the probability mass function of X + Y and where X and Y are independent and each has probability mass function given...
a) An exponential random variable X has probability densityuntion: pdx]- forx20 Give a formula for the generating function of X b) A Beta random variable X has probability density function: pdfx] 6(1-x)x for0SxSI Give a formula for the generating function of X. (Tip: You can calculate: by first caleulatinge dx and differentiating with respect to t twice L.4) The generating function for the sum of independent random variables a) Given two independent random variables, X1 with generating function GX1[t] and...