In a certain university, 60% of the academic staffs are senior lecturers (A), 25% are associate professors (B) and 15% are professors (C). Due to stress, 45% of the senior lecturers suffer from high blood pressure, 40% of the associate professors suffer from high blood pressure, and 70% of the professors suffer from high blood pressure. If an academic staff is randomly selected, what is the probability that he or she is a professor given that he or she has a high blood pressure

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

b

step-by-step explanation:

your answer is #3 , 8 - 3 square root of 11