Let a 1. Suppose S = {2, 3,...,} and P(k) = , k = 2, 3...
Find P(outcome is less than or equal to 4). Express the answer in terms of a.
for this to be valid: P(k) should be equal to 1
P(k) =c(1/a7 +1/a11+1/a15+a19+... ) =c*(1/a7)/(1-1/a4) =(c/a3)*(1/(a4-1)) =1
c=(a4-1)*a3
hence P(outcome is less than or equal to
4)=P(X=2)+P(X=3)+P(X=4)
=a3*(a4-1)*(1/a7 +1/a11+1/a15) =a3*(a4-1)*(a8+a4+1)/a15 =(a4-1)*(a8+a4+1)/a12
Let a 1. Suppose S = {2 ,3, ..., } and P(k) = , k = 2,3 ... (a) Find the value of c that makes this a valid probability distribution. Express c in terms of a. (b) Find P(outcome is odd). express the answer in terms of a. We were unable to transcribe this imagea4k-1
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