Prove this is a valid probablity distribution. • Find the mean of a random variable which has a geometric distribution with parameter p, and prove the relationship. • Find the variance of a random variable which has a goometric distribution with parameter p, you do not need to prove it.

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Part 2: Say a random variable X has the geometric distribution with parameter p if
P(X = k) = (1 – p)* 'p
for k = 1,2, 3, ....
Prove this is a valid probablity distribution.
• Find the mean of a random variable which has a geometric distribution with parameter p,
and prove the relationship.
• Find the variance of a random variable which has a goometric distribution with parameter p,
you do not need to prove it.
Transcribed Image Text:Part 2: Say a random variable X has the geometric distribution with parameter p if P(X = k) = (1 – p)* 'p for k = 1,2, 3, .... Prove this is a valid probablity distribution. • Find the mean of a random variable which has a geometric distribution with parameter p, and prove the relationship. • Find the variance of a random variable which has a goometric distribution with parameter p, you do not need to prove it.
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