Question

In a small town called Tatooine, the local beer brewery "Mos Eisley Cantina" is planning to send out an electronic promotion campaign with a free drink code to boost attendance for their Thursday night happy hour. The data for their past efforts is given in the file Tatooine.txt where 1 indicates a response/show and 0 indicates a no response/show. They would like to make sure that at least 100 customers will show up from the mailing list on Thursday night. What is the minimum number of emails they need to send such that the probability of at least 100 customers showing up is roughly 70%. Q19. What is the minimum number of emails they need to send such that the probability of at least 100 customers showing up is 0.75. a) 1500 b) 1200 c) 1000 d) 1050 Q20. Based on your answer, what is the expected number of customers that will show up on Thursday from the mailing list? a) 151 b) 121 c) 101 d) 106

Mean=.1013

100,000 people in the text file

Answer 1

A)

d) 1050

Sample size , n =    1050                      
Probability of an event of interest, p =   0.1013                      
right tailed                          
X ≥   100                      
                          
Mean = np =    106.365                      
std dev ,σ=√np(1-p)=   9.7770                      
                          
P(X ≥   100   ) = P(Xnormal ≥   99.5   )         
                          
Z=(Xnormal - µ ) / σ = (   99.5   -   106.365   ) /   9.7770   =   -0.702
                          
=P(Z ≥   -0.702   ) =    0.75

2)

  Mean = np =    106

d) 106

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