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

Answer:

a.  0.93 b. 0.06 c. 0.05

Step-by-step 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:

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