I was wondering how you would do these problems here:.

Let X be a random variable with m.g.f. given by

Find the following: M(t)=(.3+.7e^t)^5

a. The name of the distribution, with appropriate parameters.

b. The mean and variance of X.

c. P(1 ≤ X ≤ 2)

A random variable X has m.g.f. given by

M(t)=44/120+(45e^t)/120)+(20e^2t)/120)+(10e^3t)/120)+(1e^5t)/120)

Find

a. The mean and variance of X.

b. P(X ≥ 1)

Also,

If X has a Poisson distribution so that 3P(X = 1) = P(X = 2), find P(X = 4)

Don't worry, I didn't post this in 3 forums like last time.

Thanks for your help.

Let X be a random variable with m.g.f. given by

Find the following: M(t)=(.3+.7e^t)^5

a. The name of the distribution, with appropriate parameters.

b. The mean and variance of X.

c. P(1 ≤ X ≤ 2)

A random variable X has m.g.f. given by

M(t)=44/120+(45e^t)/120)+(20e^2t)/120)+(10e^3t)/120)+(1e^5t)/120)

Find

a. The mean and variance of X.

b. P(X ≥ 1)

Also,

If X has a Poisson distribution so that 3P(X = 1) = P(X = 2), find P(X = 4)

Don't worry, I didn't post this in 3 forums like last time.

Thanks for your help.

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