A company has three machines B_1, B_2 and B_3 for making resistors. It has been

Question

A company has three machines B_1, B_2 and B_3 for making resistors. It has been observed that 80% of resistors produced by B_1 meet a certain specification. 90% of resistors produced by machine B_2 meet the specification and 60% of resistors produced by machine B_3 meet the specification. Machine B_1 produces 30% of all of the company's resistors, B_2 produces 40% and B_3 produces the remaining 40%. What is the probability that a randomly selected resistor manufactured by this company meets the specification?

Explanation / Answer

we have to find the probability that the selected resistor is as per the specification

the probability = total share of resistor produces*probability of getting with specification

= 0.8*0.3 +0.9*0.4 +0.6*0.4 = 0.84

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