probability theory question

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Mathematics

Description

Suppose that there is a clinical trial in place.

Let X be the number of patients, out of group of size n, who present a successful

recovery under the treatment in question.

Assume patients recover independently of one another.

Suppose also, that the probability that a particular patient recovers is Uniformly

distributed over [0,1] – that is the probability of successful recovery – p.

a.

What is the distribution of X/P=p

b.

Find expected number of number of patients, out of this group, who recover

successfully.

c.

Find variance of number of patients, out of this group, who recover successfully.

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Explanation & Answer

Attached.

Probability

Suppose that there is a clinical trial in place.
Let X be the number of patients, out of group of size n, who present a successful recovery
under the treatment ...


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