Let X be a geometric random variable. If p = 0.3, then what is the probability that X is odd but not a multiple of 9?
Let X be a geometric random variable. If p = 0.3, then what is the probability that X is odd but not a multiple of 9?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let X be a geometric random variable. If p = 0.3, then what is the probability that X is odd but not a multiple of 9?
Expert Solution
Step 1
Sol:-
Let X be a geometric random variable with parameter p = 0.3. We want to find the probability that X is odd but not a multiple of 9.
To approach this problem, we first need to find the probability that X is odd, as we did in the previous question. The probability that X is odd is:
P(X is odd) = 1 - P(X is even)
We can use the same formula as before to find P(X is even). Let E be the event that X is even. Then:
P(X = 2) + P(X = 4) + P(X = 6) + ... = P(E)
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