Solution Found!
Consider n independent trials, each of which results in
Chapter 4, Problem 62P(choose chapter or problem)
Problem 62P
Consider n independent trials, each of which results in one of the outcomes 1,..., k with respective probabilities Show that if all the pi are small, then the probability that no trial outcome occurs more than once is approximately equal to exp(−n(n − 1)
Questions & Answers
QUESTION:
Problem 62P
Consider n independent trials, each of which results in one of the outcomes 1,..., k with respective probabilities Show that if all the pi are small, then the probability that no trial outcome occurs more than once is approximately equal to exp(−n(n − 1)
ANSWER:
Solution:
Step 1 of 2:
Here we have to show that if all the are small, then the probability that no trial outcome occurs more than once is approximately equal to