Question

What is the probability that the system does not have a type 2defect?b.What is the probability that the system has both type 1 and type 2 defects?c.Given that the system has a type 2defect, what is the probability that is has a type 1defect?

Answer 1

a. 0.93 b. 0.06 c. 0.05

Explanation:

Probability is commonly known as the chance of success of a particular event. The probability of failure of the event can also be estimated.

(a) Probability of not having type 2 defect is:
`P(A_(2)^('))`
`= 1 - P(A_(2))` = 1 - 0.07 = 0.93

(b) Probability of having type 1 and 2 defects is:
`P(A_(1) n A_(2)) = P(A_(1)) + P(A_(2)) - P(A_(1)U A_(2)) = 0.12 + 0.07 - 0.13 = 0.06`

(c) probability pf having both type 1 and type 2 defects but not type 3 defect is:

`P(A_(1) + A_(2) + A^(') _(3)) = P(A_(1) n A_(2)) - P(A_(1) n A_(2) n A_(3)) = 0.06 - 0.01 = 0.05`