The following is a summary of the results of a survey: Full-Time Part-Time Column Totals Faculty 25 48 73 Staff 16 7 23 Administration 9 3 12 A respondent is randomly chosen. Find the following probabilities: a. P(Faculty) b. P(Full-Time) c. P( Part-Time, given Faculty) d. P(Staff, given Full-Time) e. P( Full-Time and Staff) f. P(Part-Time or Administration) Row Totals 50 58- 108

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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1. The following is a summary of the results of a survey:
Full-Time
Part-Time
Column Totals
Faculty
25
48
73
b. P(Full-Time)
c. P( Part-Time, given Faculty)
d. P(Staff, given Full-Time)
e.
P( Full-Time and Staff)
f. P(Part-Time or Administration)
Staff
16
7
23
A respondent is randomly chosen. Find the following probabilities:
a. P(Faculty)
Administration
9
3
12
Row Totals
50
58-
108
2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%.
There is a 30% probability that it will rain both days. What is the probability that it will rain
either today or tomorrow?
3. A committee is composed 30% of females and 60% of administrators. Among the
administrators, 10% are females. What is the probability that a randomly chosen member of
the committee is both an administrator and a female?
a.
b.
c. 13, 11, 14, 8, 14
4. If a balanced die is rolled, what is the probability that the number of dots on the top face is
either odd or less than four?
5. A bowl contains ten marbles. Four are red and six are blue. Two marbles are drawn from the
bowl without replacement. What is the probability that both marbles drawn are blue?
6. For each random sample below, compute the mean, median, variance, and standard deviation
(rounded to two decimal places);
6, 2, 1, 4, 6, 5
11.2, 10.0, 25.4, 8.4, 11.0
Transcribed Image Text:1. The following is a summary of the results of a survey: Full-Time Part-Time Column Totals Faculty 25 48 73 b. P(Full-Time) c. P( Part-Time, given Faculty) d. P(Staff, given Full-Time) e. P( Full-Time and Staff) f. P(Part-Time or Administration) Staff 16 7 23 A respondent is randomly chosen. Find the following probabilities: a. P(Faculty) Administration 9 3 12 Row Totals 50 58- 108 2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow? 3. A committee is composed 30% of females and 60% of administrators. Among the administrators, 10% are females. What is the probability that a randomly chosen member of the committee is both an administrator and a female? a. b. c. 13, 11, 14, 8, 14 4. If a balanced die is rolled, what is the probability that the number of dots on the top face is either odd or less than four? 5. A bowl contains ten marbles. Four are red and six are blue. Two marbles are drawn from the bowl without replacement. What is the probability that both marbles drawn are blue? 6. For each random sample below, compute the mean, median, variance, and standard deviation (rounded to two decimal places); 6, 2, 1, 4, 6, 5 11.2, 10.0, 25.4, 8.4, 11.0
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