Answer:
The question is asking you to subtract 516 from 1,000 to find <em>b</em>.

Therefore, <em>b</em> = 484
Answer:
140 degrees
Step-by-step explanation:
50 = EI - LJ
160 = 1/2 EI + LJ
210 = 1.5 EI
EI = 140
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:
Her daughters age: 1/2x
Step-by-step explanation:
Let's say Rani's present age is x. Her age is twice the age of her daughter.
So if Rani's age is 20, her daughters age would be 10, because Rani is twice the age of 10; so 10 times 2 would be 20.
1/2(20)=daughter's age
so if you substitute x into 20 because we don't actually know Rani's age, it would be 1/2(x)=daughter's age.
hope this helped :-) <3