A random variable X has the probability density function given by \(f(x) = \frac{1}{4}\), -2 < x < 2. The moment generating function of X is given by

A random variable X has the probability density function given by \(f

1.	A random variable X has the probability density function given by \(f(x) = \frac{1}{4}\), -2 < x < 2. The moment generating function of X is given by
A.	\(\frac{e^{2t}+e^{-2t}}{4t}\)
B.	\(\frac{e^{2t}-e^{-2t}}{4t}\)
C.	\(\frac{e^{2t}+e^{-2t}}{t}\)
D.	\(\frac{e^{2t}-e^{-2t}}{t}\)
Answer» C. \(\frac{e^{2t}+e^{-2t}}{t}\)

Discussion

No Comment Found

Related MCQs

An event has 4 possible outcomes with probabilities 1/2, 1/4, 1/8, 1/16. What will be the rate of information if there are approximately 24 outcomes/second possible?
Consider the two statements.S1 : There exist random variables X and Y such that(E[X - E(X)) (Y - E(Y))])2 > Var[X] Var[Y]S2 : For all random variables X and Y,Cov[X, Y] = E [|X - E[X]| |Y - E[Y]|]Which one of the following choices is correct?
A six-faced fair dice is rolled five times. The probability (in %) of obtaining “ONE” at least four times is
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is μ. The standard deviation for this distribution is given by
In a group of 24 members, each member drinks either tea or coffee or both. If 15 of them drink tea and 18 drink coffee, find the probability that a person selected from the group drinks both tea and coffee.
A box contains 5 red and 10 green balls. Eight (8) of them are placed in another box. The chances that the latter box contains 2 red and 6 green balls are ____
Given a mean of 9 and a standard deviation of √6, determine the values of n and p in a binomial distribution.
Consider a random process given by x(t) = A cos (2π fC t + θ), where A is a Rayleigh distributed random variable and θ is uniformly distributed in [0, 2π]. A and θ are independent. For any time t, the probability density function (PDF) of x(t) is:
If P(X) = ¼, P(Y) = 1/3, and P(X ∩ Y) = 1/12, the value of P(Y/X) is
For the function f(x) = a + bx, 0 ≤ x ≤ 1, to be a valid probability density function, which one of the following statements is correct?

A random variable X has the probability density function given by \(f(x) = \frac{1}{4}\), -2 < x < 2. The moment generating function of X is given by

Discussion

No Comment Found

Related MCQs

Reply to Comment