Q4 In the summer holiday, each student is required to write at least one book report one book report. The following table represents the probability distribution function of the number of book reports (X) a student has written in the summer holiday.x12345P(X=x)0.8kk0.350.150.05(a) What is the value of k?(b) Find E(X) and ?(X)(c) Suppose the number of book reports students have written have are independent. In a study group with 8 students, what is the probability that exactly 5 students have written at most 3 book reports?Answer (a) (b) (c) and show clear calculation steps

Solution-: Let, X=the number of book reports, a student has written in the summer holiday. We have…

Answered: In the summer holiday, each student is…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...

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Q4
In the summer holiday, each student is required to write at least one book report one book report. The following table represents the probability distribution function of the number of book reports (X) a student has written in the summer holiday.

x	1	2	3	4	5
P(X=x)	0.8k	k	0.35	0.15	0.05

(a) What is the value of k?
(b) Find E(X) and ?(X)
(c) Suppose the number of book reports students have written have are independent. In a study group with 8 students, what is the probability that exactly 5 students have written at most 3 book reports?

Answer (a) (b) (c) and show clear calculation steps

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