Solution Found!
Solved: Consider the visits that result in leave without
Chapter 3, Problem 151E(choose chapter or problem)
Consider the visits that result in leave without being seen (LWBS) at an emergency department in Example 2-8. Assume that four visits that result in LWBS are to be randomly selected (without
replacement) for a follow-up interview.
(a) What is the probability that all selected visits are from hospital 4?
(b) What is the probability that no selected visits are from hospital 4?
(c) What is the probability that all selected visits are from the same hospital?
Questions & Answers
QUESTION:
Consider the visits that result in leave without being seen (LWBS) at an emergency department in Example 2-8. Assume that four visits that result in LWBS are to be randomly selected (without
replacement) for a follow-up interview.
(a) What is the probability that all selected visits are from hospital 4?
(b) What is the probability that no selected visits are from hospital 4?
(c) What is the probability that all selected visits are from the same hospital?
ANSWER:
Solution
Step 1 of 3
Given that no.of visits in LWBS=N=953
In Hospital 4 no.of visits=k=242
No.of randomly selected visits=n=4
Let X be the no.of visits in hospital 4
Here X is following hypergeometric distribution
The pmf of hypergeometric distribution is
a) We have to find the probability of all selected visits from hospital 4
Now we have to find
=0.0041
Hence the probability of all selected visits from hospital 4 is 0.0041