Solution Found!
Suppose that the length of stay (in hours) at a hospital
Chapter 4, Problem 179E(choose chapter or problem)
Suppose that the length of stay (in hours) at a hospital emergency department is modeled with a lognormal random variable X with \(\theta=1.5\) and \(\omega=0.4\) . Determine the following in parts (a) and (b):
(a) Mean and variance (b) \(P(X<8)\)
(c) Comment on the difference between the probability \(P(X<0)\) calculated from this lognormal distribution and a normal distribution with the same mean and variance.
Equation transcription:
Text transcription:
\theta=1.5
\omega=0.4
P(X<8)
P(X<0)
Questions & Answers
QUESTION:
Suppose that the length of stay (in hours) at a hospital emergency department is modeled with a lognormal random variable X with \(\theta=1.5\) and \(\omega=0.4\) . Determine the following in parts (a) and (b):
(a) Mean and variance (b) \(P(X<8)\)
(c) Comment on the difference between the probability \(P(X<0)\) calculated from this lognormal distribution and a normal distribution with the same mean and variance.
Equation transcription:
Text transcription:
\theta=1.5
\omega=0.4
P(X<8)
P(X<0)
ANSWER:Solution:
Step 1 of 4:
The length of stay (in hours) at a hospital emergency department is modeled with a lognormal random variable X with =1.5 and
=0.4.
- We have to find the mean and variance of X.
- P(X<8).
- We have to find the difference between the probability P(x<0) calculated from this lognormal distribution with mean and variance.