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DaniilM [7]
2 years ago
7

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must

function. Two of the parts have a .96 probability of functioning, and two have a probability of .99. What is the overall probability that the product will function properly
Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0

Answer:

P(working product) = .99*.99*.96*.96 = .0.903

Step-by-step explanation:

For the product to work, all four probabilities must come to pass, so that

P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

where

P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

As all parts are independent, so the formula is P(A∩B) = P(A)*P(B)

P (Working Product) =  P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

P (Working Product) = 0.96*0.96*0.96*0.99*0.99

P(Working Product) = 0.903

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