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In an international school, each staff has to take place in at least 3 community services in a year. The following table represents the probability distribution function of the number of community services (X) a staff has been taken in a year. 3 4 5 6 7 P(X = x) 0.2k k 0.35 0.2 0.03 (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of community services have been taken by staffs are independent. In a department with 11 staffs, what is the probability that exactly 7 staffs have taken place in at least 5 services?

In an international school, each staff has to take place in at least 3 community services in a year. The following table represents the probability distribution function of the number of community services (X) a staff has been taken in a year. 3 4 5 6 7 P(X = x) 0.2k k 0.35 0.2 0.03 (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of community services have been taken by staffs are independent. In a department with 11 staffs, what is the probability that exactly 7 staffs have taken place in at least 5 services?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In an international school, each staff has to take place in at least 3 community services in a year. The following table represents the probability distribution function of the number of community services (X) a staff has been taken in a year. 3 4 5 6. 7 P(X = x) 0.2k k 0.35 0.2 0.03 (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of community services have been taken by staffs are independent. In a department with 11 staffs, what is the probability that exactly 7 staffs have taken place in at least 5 services?
Transcribed Image Text:In an international school, each staff has to take place in at least 3 community services in a year. The following table represents the probability distribution function of the number of community services (X) a staff has been taken in a year. 3 4 5 6. 7 P(X = x) 0.2k k 0.35 0.2 0.03 (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of community services have been taken by staffs are independent. In a department with 11 staffs, what is the probability that exactly 7 staffs have taken place in at least 5 services?
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