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 4. P(X = x) 0.1 2k k + 0.1 k

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D O D QD
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日单页0双页,同连续间读背景。
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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
3
4.
P(X = x)
0.1
2k
k + 0.1
k
(a) nd the value of k,
(b) Wha is the probability thata student joins at met two clubs?
Find var(X) and 0 (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)).
Transcribed Image Text:D O D QD 旋转文档 日单页0双页,同连续间读背景。 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 3 4. P(X = x) 0.1 2k k + 0.1 k (a) nd the value of k, (b) Wha is the probability thata student joins at met two clubs? Find var(X) and 0 (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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