4. A random variable X has the following probability mass function (pmf): X takes values in (1,2,3,..., 10), and P(X = n) = (n+1)(n+2)" for some real number A. Find the value of A. for n= 1,2,3,..., 10,

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4. A random variable X has the following probability mass function (pmf): X takes values in
(1,2,3,..., 10), and
P(X = n) =
(n+1)(n+2)"
for some real number A. Find the value of A.
for n=
1,2,3,..., 10,
Transcribed Image Text:4. A random variable X has the following probability mass function (pmf): X takes values in (1,2,3,..., 10), and P(X = n) = (n+1)(n+2)" for some real number A. Find the value of A. for n= 1,2,3,..., 10,
Expert Solution
Step 1: Write down the given information

Probability mass function : 

P left parenthesis X equals n right parenthesis equals fraction numerator left parenthesis A right parenthesis over denominator left parenthesis n plus 1 right parenthesis asterisk times left parenthesis n plus 2 right parenthesis end fraction
; { n = 1,2,3,....10 } 

We have to calculate value of A . 

Concept : ( sum of all Probabilities = 1 )

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