You are a customer support manager at Apple. Your staff are rated by the customer after each support call they close. Each month you randomally sample the cases of each employee and if you find sufficient ​"Perfect​" cases then you give the employee a​ $250 award. This month you give the award if you find​ (at least) 4 Perfect cases. Suppose an employee handled 42 cases of which 7 are Perfect cases and 35 are not. Assume you sample 10 of the cases of that employee. Answer the​ following:   a. What is the probability that you will find no Perfect cases? nothing. ​(Round to four decimal places as​ needed.)   b. What is the probability that there will be at least 1 Perfcet​ case? ​(Round to four decimal places as​ needed.)   c. What is the probability that there will be 4 Perfect cases? ​(Round to four decimal places as​ needed.)

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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You are a customer support manager at Apple. Your staff are rated by the customer after each support call they close. Each month you randomally sample the cases of each employee and if you find sufficient
​"Perfect​" cases then you give the employee a​ $250 award. This month you give the award if you find​ (at least) 4 Perfect cases. Suppose an employee handled 42 cases of which 7 are Perfect cases and 35 are not. Assume you sample 10 of the cases of that employee. Answer the​ following:
 
a. What is the probability that you will find no Perfect cases?
nothing.
​(Round to four decimal places as​ needed.)
 
b. What is the probability that there will be at least 1 Perfcet​ case?
​(Round to four decimal places as​ needed.)
 
c. What is the probability that there will be 4 Perfect cases?
​(Round to four decimal places as​ needed.)
 
d. What is the probability that the award will not be​ given?
​(Round to four decimal places as​ needed.)
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