A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:Question 2
In Alpha College, students are required to join at least one school club to get extra-curriculum activities' marks.
Suppose the following table represents the probability distribution function of the number of clubs (X) a
student join:
1
2
3
4
P(X = x)
0.1
2k
k + 0.1
k
(a) Find the valuc of k.
(b) What is the probability that a student joins at most two clubs?
(c) Find E, Var(X) and o(X).
(d) ) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let Y be
the total membership fee a student pay. Compute E(Y) and o(Y).
(e) What percentage of students are paying not less than $200 for the total membership fee?
(f) \Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student paying
for joining school club(s) (based on the results in parts (d) and (e)).
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON