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: 4 P(X = x) 0.1 2k k + 0.1 k (a) Find the value of k. (b) What is the probability that a student joins at most two clubs? (c) Find E(X), Var(X) and o(X).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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 value of k.
(b) What is the probability that a student joins at most two clubs?
(c) Find E(X), Var(X) and o(X).
Transcribed Image Text: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 value of k. (b) What is the probability that a student joins at most two clubs? (c) Find E(X), Var(X) and o(X).
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