32
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...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
3
Transcribed Image Text:A company is developing a new computer chip. Each month a collection of prototypes is tested and the percentage Pof chips that operate successfully is recorded. Here are the results.
m= month
P= % successful
1
3
4
6
7
23
29
35
45
52
63
70
(a) Find a logistic model for P versus m.
114.32
P =
1+ 5.54e0.313m
57.16
O P=
1+ 6.65e-0.157m
124.82
OP=
-0.104m
1+ 1.11e
38.11
OP
1+ 13.85e-0.078m
22.86
O P:
1+ 2.77e-0.063m
(b) A reliability curve is a graph of percentage of successes versus time. Make a reliability curve for this computer chip. Include both the data and the model in your graph, and cover months
from 0 to 15.
120
120
100
100
80
80
60
60
40
40
20
20
2
6.
10
12
14
2
6.
8.
10
12
14
120
120
100
100
80
80
60
60
40
40
20
20
4
6.
10
12
14
4
6.
10
12
14
(c) The chip is ready for production when reliability reaches 95%. When does the logistic model predict the chip will be ready for production? Round your answer to the nearest month. (Use
the model found in part (a).)
m =
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