Homework Help is Here – Start Your Trial Now!
Math
Probability
4. Mastering a computer program. The number of training units that must be passed before a complex computer soft- ware program is mastered varies from one to five, depend- ing on the student. After much experience, the software manufacturer has determined the probability distribution that describes the fraction of users mastering the software after each number of training units: Number of Units Probability of Mastery 1 .1 2 .25 3 .4 4 .15 5 .1 a. Calculate the mean number of training units necessary to master the program. Calculate the median. Interpret each. b. If the firm wants to ensure that at least 75% of the stu- dents master the program, what is the minimum number of training units that must be administered? At least 90%? c. Suppose the firm develops a new training program that increases the probability that only one unit of training is needed from .1 to .25, increases the probability that only two units are needed to .35, leaves the probability that three units are needed at 4, and completely eliminates the need for four or five units. How do your answers to parts a and b change for this new program?

4. Mastering a computer program. The number of training units that must be passed before a complex computer soft- ware program is mastered varies from one to five, depend- ing on the student. After much experience, the software manufacturer has determined the probability distribution that describes the fraction of users mastering the software after each number of training units: Number of Units Probability of Mastery 1 .1 2 .25 3 .4 4 .15 5 .1 a. Calculate the mean number of training units necessary to master the program. Calculate the median. Interpret each. b. If the firm wants to ensure that at least 75% of the stu- dents master the program, what is the minimum number of training units that must be administered? At least 90%? c. Suppose the firm develops a new training program that increases the probability that only one unit of training is needed from .1 to .25, increases the probability that only two units are needed to .35, leaves the probability that three units are needed at 4, and completely eliminates the need for four or five units. How do your answers to parts a and b change for this new program?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question

Please answer a-c. Thanks!

4. Mastering a computer program. The number of training units that must be passed before a complex computer soft- ware program is mastered varies from one to five, depend- ing on the student. After much experience, the software manufacturer has determined the probability distribution that describes the fraction of users mastering the software after each number of training units: Number of Units Probability of Mastery 1 .1 2 .25 3 .4 4 .15 5 .1 a. Calculate the mean number of training units necessary to master the program. Calculate the median. Interpret each. b. If the firm wants to ensure that at least 75% of the stu- dents master the program, what is the minimum number of training units that must be administered? At least 90%? c. Suppose the firm develops a new training program that increases the probability that only one unit of training is needed from .1 to .25, increases the probability that only two units are needed to .35, leaves the probability that three units are needed at .4, and completely eliminates the need for four or five units. How do your answers to parts a and b change for this new program?
Transcribed Image Text:4. Mastering a computer program. The number of training units that must be passed before a complex computer soft- ware program is mastered varies from one to five, depend- ing on the student. After much experience, the software manufacturer has determined the probability distribution that describes the fraction of users mastering the software after each number of training units: Number of Units Probability of Mastery 1 .1 2 .25 3 .4 4 .15 5 .1 a. Calculate the mean number of training units necessary to master the program. Calculate the median. Interpret each. b. If the firm wants to ensure that at least 75% of the stu- dents master the program, what is the minimum number of training units that must be administered? At least 90%? c. Suppose the firm develops a new training program that increases the probability that only one unit of training is needed from .1 to .25, increases the probability that only two units are needed to .35, leaves the probability that three units are needed at .4, and completely eliminates the need for four or five units. How do your answers to parts a and b change for this new program?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer