Solution Found!
Refer to Exercise 4.106.a Use Tchebysheff’s theorem to
Chapter 4, Problem 107E(choose chapter or problem)
Problem 107E
Refer to Exercise 4.106.
a Use Tchebysheff’s theorem to give an interval that contains at least 75% of the response times.
b Applet Exercise What is the actual probability of observing a response time in the interval you obtained in part (a)?
Reference
The response times on an online computer terminal have approximately a gamma distribution with mean four seconds and variance eight seconds2.
a Write the probability density function for the response times.
b Applet Exercise What is the probability that the response time on the terminal is less than five seconds?
Questions & Answers
QUESTION:
Problem 107E
Refer to Exercise 4.106.
a Use Tchebysheff’s theorem to give an interval that contains at least 75% of the response times.
b Applet Exercise What is the actual probability of observing a response time in the interval you obtained in part (a)?
Reference
The response times on an online computer terminal have approximately a gamma distribution with mean four seconds and variance eight seconds2.
a Write the probability density function for the response times.
b Applet Exercise What is the probability that the response time on the terminal is less than five seconds?
ANSWER:
Solution:
Step 1 of 3:
The response times on an online computer terminal have approximately a gamma distribution with mean four seconds and variance eight seconds.
We have to find
- An interval that contain at least 75% of response times(by using Tchebysheff’s theorem).
- Probability of observing a response time in that interval.