Aproduct test is designed in such a way that for a defective product to be undiscovered, all four inspections would have to fail to catch the defect. the probability of catching the defect in inspection 1 is 90%; in inspection 2, 80%; in inspection 3, 12%; and in inspection 4, 95%. what is the probability of catching a defect? a. 0.008% b. 62.9% c. 37.7% d. 99.9%

d. 99.9%

Step-by-step explanation:

The probability of not catching a defect for each inspection is 100% minus the probability of catching a defect. The probability that a defect is not caught in all four inspections is the product of each inspection's individual probability:

The probability of catching a defect is given by:

There is a 99.9% probability of catching a defect.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

you already gave the answer

step-by-step explanation: