An experiment is conducted to select a suitable catalyst for the commercial production of a product...

An experiment is conducted to select a suitable catalyst for the commercial production of a product used in soaps which is called EDA. 10% of catalysts have poor performance, 20% of catalysts have moderate performance, 50% of catalysts have good performance, and 20% of catalysts have excellent performance. Suppose an engineer randomly selects 12 catalysts for testing.

Find the probability that 3 of them show poor performance, 4 of them show good performance, and 5 of them show excellent performance,
Find the probability that 3 of them show moderate performance, 1 of them show poor performance, 3 of them show good performance, and 5 of them show excellent performance,

Expert Solution

Given information

P(catalyst has poor performance) =0.1

we read this as the probability that catalyst has poor performance is 0.1

like that we can write,

P(catalyst have moderate performance)=0.2

P(catalyst have good performance)=0.5

P(catalyst have excellent performance)=0.2

1)Find the probability that 3 of them show poor performance, 4 of them show good performance, and 5 of them show excellent performance,

2) Find the probability that 3 of them show moderate performance, 1 of them show poor performance, 3 of them show good performance, and 5 of them show excellent performance,

Answer:-

orchestra answered 1 year ago

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