Answer: 
Step-by-step explanation:
Let A = he known the answer then A' = he guess the answer.
B = he answered it correctly
As per given , we have



By Bayes theorem , we have

The probability that the student knows the answer given that he answered it correctly is
.
Answer:
27 calls
Step-by-step explanation:
Let T(x) represent total sales.
Then T(x) = $150 + ($2/call)x, where x is the number of calls made.
If T(x) = $204, we can solve for x, the number of calls made:
$204 = $150 + ($2/call)x, or
$ 54
----------- = 27 calls
$2/call
Well 6×12=72. I don't know what the original tank size was but subtract the original from this one to get your answer.