A probability mass function for the class sizes at a small college is given in the table
Question:
Class sizeProbability
10 ............ 0.05
20 ............ 0.15
30 ............ 0.45
40 ............ 0.10
50 ............ 0.10
60 ............ 0.10
70 ............ 0.05
a. What is the expected value of the class size for a class chosen at random?
b. What is the standard deviation of the class size for a class chosen at random?
c. What percentage of classes are within one standard deviation of the mean class size?
d. What is the cumulative distribution function for class size?
e. What is the probability that a class has between 30 and 60 students?
f. Given that a class has at least 30 students, what is the probability that it has strictly less than 60 students?
g. Given that a class has at least 30 students, what is the probability that it has at least 60 students?
h. Given that a class has at least 30 students, what is the probability that it has strictly more than 60 students?
i. Given that a class has at least 30 students, what is the probability that it has at most 60 students? Distribution
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Related Book For
Introduction to Probability
ISBN: 978-0716771098
1st edition
Authors: Mark Daniel Ward, Ellen Gundlach
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