A shoe store’s records show that 30% of the customers purchase by credit card. This morning 20 customers  purchased shoes from the store.  a. Find the probability that at least 12 of the customers used a credit card.  b. What is the probability that at least 3 customers but not more than 6 used a credit card?  c. What is the expected number of customers using a credit card?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 26E
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A shoe store’s records show that 30% of the customers purchase by credit card. This morning 20 customers 
purchased shoes from the store. 
a. Find the probability that at least 12 of the customers used a credit card. 
b. What is the probability that at least 3 customers but not more than 6 used a credit card? 
c. What is the expected number of customers using a credit card?

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