Question 9A  A hamburger chain found that 75% of all customers use mustard, 80% use ketchup, and 65% use both, when ordering a hamburger.  What is the probability that a customer chosen at random uses ketchup given that the person is a mustard -user? a.0. 8667 b.0.6500 c.0. 8125 d.0.5200   Question 9B  A company is considering producing some new products. Based on past records, management believes that there is a 60 percent chance that the first product will be successful, and a 40 percent chance that the second product will be successful. As these products are completely different, it may be assumed that the success of one is totally independent of the success of the other. If two products are introduced to the market, what is the probability that both are successful?   a.0.20 b.1.00 c.0.76 d.0.24

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 85E
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Question 9A 

A hamburger chain found that 75% of all customers use mustard, 80% use ketchup, and 65% use both, when ordering a hamburger.  What is the probability that a customer chosen at random uses ketchup given that the person is a mustard -user?

a.0. 8667

b.0.6500
c.0. 8125
d.0.5200
 
Question 9B 

A company is considering producing some new products. Based on past records, management believes that there is a 60 percent chance that the first product will be successful, and a 40 percent chance that the second product will be successful. As these products are completely different, it may be assumed that the success of one is totally independent of the success of the other. If two products are introduced to the market, what is the probability that both are successful?

 

a.0.20
b.1.00
c.0.76
d.0.24
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