Solution Found!
If Y is a binomial random variable based on n trials and
Chapter 3, Problem 188SE(choose chapter or problem)
If is a binomial random variable based on
trials and success probability
, show that
\(P(Y>1 \mid Y \geq 1)=\frac{1-(1-p)^{n}-n p(1-p)^{n-1}}{1-(1-p)^{n}}\)
Equation transcription:
Text transcription:
P(Y>1 Y \geq 1)=frac{1-(1-p)^{n}-n p(1-p)^{n-1}}{1-(1-p)^{n}}
Questions & Answers
QUESTION:
If is a binomial random variable based on
trials and success probability
, show that
\(P(Y>1 \mid Y \geq 1)=\frac{1-(1-p)^{n}-n p(1-p)^{n-1}}{1-(1-p)^{n}}\)
Equation transcription:
Text transcription:
P(Y>1 Y \geq 1)=frac{1-(1-p)^{n}-n p(1-p)^{n-1}}{1-(1-p)^{n}}
ANSWER:Solution:
Step 1 of 3:
It is given that Y is a Binomial random variable with n trials and probability of success p.
Then the probability mass function of Y is
P(Y=y)=
Using this we need to prove the required proof.