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 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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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
(a) Find the value of k.
(b) What is the probability that a student joins at most two clubs?
Find E(X), 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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Transcribed Image Text:背景 划词翻译 截屏,压缩 全屏显示 播放 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 (a) Find the value of k. (b) What is the probability that a student joins at most two clubs? Find E(X), 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)). 0本地备份开
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