  # a) Let Xbe a random variable with uniform distribution on the interval (a, b). Find itsmoment generating function272b) The random variable X has the following moments: E(X")n =1,2,... .n1Find the moment generating function of X and identify the distribution of X. Hint: Usethe Taylor expansion of etX to find the moment generating function, and use problem a)to identify the distribution

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Escalate - Show every mynute steps in DETAILED! help_outlineImage Transcriptionclosea) Let Xbe a random variable with uniform distribution on the interval (a, b). Find its moment generating function 272 b) The random variable X has the following moments: E(X") n =1,2,... . n1 Find the moment generating function of X and identify the distribution of X. Hint: Use the Taylor expansion of etX to find the moment generating function, and use problem a) to identify the distribution fullscreen
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Step 1

As you have posted 2 different questions, we are answering the first question. In case you require the unanswered questions also, kindly re-post them as separate questions.

Step 2

a)

From the given information, the random variable X follows uniform distribution on interval

(a, b).

The probability density function for X is,

Step 3

The moment generating...

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