Question 2In 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) astudent join:1234P(X = x)0.12kk + 0.1k(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 bethe 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 payingfor joining school club(s) (based on the results in parts (d) and (e)).

Given, x= number of clubs join by student. x 1 2 3 4 p(X=x) 0.1 2k k+0.1 k

Answered: In Alpha College, students are required…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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