what is the probability that HP produced the cartridge? What is the probability that Dell produced the cartridge? The cartridge is tested and found to be defective. Now what is the probability that HP produced the cartridge? Or Dell produced the cartridge?
A particular type of printer cartridge is produced by 2 companies – HP cartridge and Dell Cartridge. Suppose that HP produces 65 % of the cartridges and that dell produces 35 % of the cartridges. 8 % of the cartridges produced by HP are defective and 12 % of the Dell cartridges are defective. A customer purchases a new cartridge what is the
Given,
Probability of cartridge produced by HP -P(HP) = 0.65
Probability of cartridge produced by Dell - P(Dell)= 0.35
Probability of Hp cartridge are defective P(HP and Defective) = 0.08*0.65 = 0.052
Probability of Dell cartridge are defective P(Dell and Defective) = 0.12 * 0.35 = 0.042
Probability that HP produced the cartridge = P(HP)
= 0.65
Probability that Dell produced the cartridge = P(Dell)
= 0.35
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