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

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