Answer: 1
Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)
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:
Step-by-step explanation:
see attached to identify which is the tenth's place
How you round the tenth's place depends on the digit in the hundredths place.
If the hundredths digit is less than 5, then you keep the tenths place the same (i.e round down)
If the hundredths digit is greater or equal than 5, then you increase the tenths place by 1 (i.e round up)
Answer:
29%
Step-by-step explanation:
If 7 is 100% correct then 5 would only be a portion of it
So you need to divide 5 by 7
So 5 divided by 7 is .714 or .71
this means the error was 29%
Answer:
22 people
Step-by-step explanation: