Question

what is the incomplete gamma distribution ?

Answer #1

Compute and compare λ(t) for exponential,
Weibull distribution, and Gamma distribution.

what is the log- likelihood function of the generalized gamma
distribution f(x; a,k,λ)?

Suppose that the prior distribution of some parameter θ is Gamma
distribution for which the mean is 10 and the variance is 5.
Determine parameters of prior distribution of θ

When the distribution Y is ∼ Gamma(3, 4), and the joint
distribution is given by X|Y ∼ Poi(Y). Compute Expectation and
Variance of X

You are told that the lifetime of a part follows a gamma
distribution with and . Describe a part from this
population.

In the R code (R studio),
How to generate the gamma distribution by function?

Suppose that the lifetime (in weeks) of a transistor has a gamma
distribution with parameters
α = 4, β = 6. What is the probability that a random transistor will
last longer than 30 weeks

The lifetime of a part follows a gamma distribution with a mean
lifetime of 2 years and a variance of 5 years squared. what is the
probability that a random part dies within the first 3 years?

A gamma distribution with parameters n and 1, can be seen as the
sum of independent exponential with mean 1.
A. True
B. False

STAT 120 Suppose that X have a gamma distribution with
parameters a = 2 and θ= 3, and suppose that the conditional
distribution of Y given X=x, is uniform between 0 and x.
(1) Find E(Y) and Var(Y).
(2) Find the Moment Generating Function (MGF) of Y. What is the
distribution of Y?

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