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a. There are three bakers in the local bread bakery. They all produce a portion of...

a. There are three bakers in the local bread bakery. They all produce a portion of the total number of bread loaves baked each year. Each baker (Michael, Jim, and Nard Dog) also have an associated rate for failing quality control. Based on the chart below, find the probability that a loaf of bread fails quality control in the bakery. P(Loaf fails quality check)

portion of production individual quality failure rate / portion
M 40 2
J 10 3
N 50 4

b. If a loaf of bread fails quality control, find the probability that the loaf was produced by each baker, P(Fail/Michael), P(Fail/Jim), P(Fail/Nard Dog).

math   Statistics-And-Probability   
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