Question: 1. Continuous probability distribution : Consider the following probability distribution: p(x)= Ce -2x , x E [0, infinity), C E R a)Determine the value ofCsuch

1.Continuous probability distribution: Consider the following probability distribution: p(x)= Ce-2x, x E [0, infinity), C E R

a)Determine the value ofCsuch that p(x)is normalized.

b)What is the most probable value of x?

c)Using the normalized distribution, compute the average value/expectation value . Your answer should be a number.

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