Question

An item is manufactured by three plants 𝑀1, 𝑀2 and 𝑀3. The market share of the plants are 10%, 70%, and 20% respectively. The defective rates of the products from the three plants are 𝑀1 = 6%, 𝑀2 = 2.5%, and 𝑀3 = 3.5%. What is the probability that plant 𝑀2 did not manufacture a randomly purchased item given that the item is defective?

Name: an item is manufactured by three plants m1 m2 and m3 the market share of the plants are 10 70 and 20 respectively the defective rates of the products from the three plants are m1 6 m2 25 and 56372
Uploaded: 2024-05-14T11:39:38-08:00
Duration: 2 min 58 s
Channel: Adi S
Description: an item is manufactured by three plants m1 m2 and m3 the market share of the plants are 10 70 and 20 respectively the defective rates of the products from the three plants are m1 6 m2 25 and 56372

          An item is manufactured by three plants 𝑀1, 𝑀2 and 𝑀3. The market
share of the plants are 10%, 70%, and 20% respectively. The defective
rates of the products from the three plants are 𝑀1 = 6%, 𝑀2 = 2.5%, and
𝑀3 = 3.5%.
What is the probability that plant 𝑀2 did not manufacture a randomly
purchased item given that the item is defective?

Added by Roberto W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

05/14/2024

Step 1

10, P(M2) = 0.70, P(M3) = 0.20 - Defective rates: P(D|M1) = 0.06, P(D|M2) = 0.025, P(D|M3) = 0.035 Show more…

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An item is manufactured by three plants 𝑀1, 𝑀2 and 𝑀3. The market share of the plants are 10%, 70%, and 20% respectively. The defective rates of the products from the three plants are 𝑀1 = 6%, 𝑀2 = 2.5%, and 𝑀3 = 3.5%. What is the probability that plant 𝑀2 did not manufacture a randomly purchased item given that the item is defective?