At a bakery, a customer with a purchase amount of under $20 has a probability of 0.35 of using a credit card for the purchase, while a customer with a purchase amount of $20 or over has a probability of 0.6 of using a credit card for the purchase. Data shows that 80 % of purchases at the bakery are under $20.   Given that a customer uses a credit card for a purchase, find the probability that the purchase amount was $20 or over.   Give the probability as a decimal, and if rounding give to 4 decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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At a bakery, a customer with a purchase amount of under $20 has a probability of 0.35 of using a credit card for the purchase, while a customer with a purchase amount of $20 or over has a probability of 0.6 of using a credit card for the purchase. Data shows that 80 % of purchases at the bakery are under $20.

 

Given that a customer uses a credit card for a purchase, find the probability that the purchase amount was $20 or over.

 

Give the probability as a decimal, and if rounding give to 4 decimal places.

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