Question

Correct statement with regard to the given distributions poisson, Exponential,standard normal distribution

Answer 1

Explanation:

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Choose the correct statement with regard to the given distributions:a.Poisson: If mean is u, standard deviation will beub. Exponential: If mean is u, standard deviation will bec. Standard Normal distribution: If mean is 0, standard deviation will beAll of the aboveAnswerABCD

Choose the correct statement with regard to the given distributions:a.Poisson: If mean is u, standard deviation will beub. Exponential: If mean is u, standard deviation will bec. Standard Normal distribution: If mean is 0, standard deviation will beAll of the aboveAnswerABCD

Question

Asked Sep 7, 2019

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Choose the correct statement with regard to the given distributions:

a.

Poisson: If mean is u, standard deviation will beu

b. Exponential: If mean is u, standard deviation will be

c. Standard Normal distribution: If mean is 0, standard deviation will be

All of the above

Answer

A

B

C

D

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Expert Answer

Step 1

The correct option for the above stated alternatives is ‘option d’ i.e. all the alternatives are correct.

Step 2

Explanation:

In case of poisson distribution, the mean or the expected value of an poisson distributed random variable ‘X’ with rate parameter ‘ƛ’ and time interval ‘t’ is given by:

Mean = µx = ƛt

The variance of ‘X’ is given by

Var [X] = (ƛt)

Now,

Standard deviation = σ = =

Step 3

2. In case of exponential distribution, the mean or the expected value of an exponentially distributed random variable ‘X’ with rate parameter ‘ƛ’ is given by:

Mean = µx = 1/ƛ

The variance of ‘X’ is given by

Var [X] = (1/ƛ2...