Let

denote the event that an HD is defective, and

the event that a particular HD was produced at facility

.
You are asked to compute



From the definition of conditional probabilities, the first two will require that you first find

. Once you have this, part (c) is trivial.
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)

Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so

.
Use the law of total probability to determine the value of the denominator:

We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So

and thus

(b) Similarly,

(c)
Answer:
The system has infinite solutions
Step-by-step explanation:
Notice that the 2nd eq can be written as y=3x+2, exactly the same first equation, so it doesnt give anything to solve it
You can see the attached picture represents the eq. 1
The second eq. is also represented in that picture, just it doenst seems, because it is hide under the first
Answer:
x is 36
Step-by-step explanation:
the way to find out is 1/4 multiplied by what gives you 9. 9 divided by 1/4 is 36. 36 1/4's gives you 9.
Answer:
C
Step-by-step explanation:
Multiply the functions.

