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...


In Alpha College, students are required to join at least one school club to get extra-curriculum activities' marks.<br>Suppose the following table represents the probability distribution function of the number of clubs (X) a<br>student join:<br>1<br>2<br>3<br>4<br>P(X = x)<br>0.1<br>2k<br>k + 0.1<br>k<br>(a) Find the value of k.<br>(b) What is the probability that a student joins at most two clubs?<br>(c) Find E(X), Var(X) and o(X).<br>

Extracted 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).

Jun 11, 2022
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