Reference no: EM133156128
A teacher has surveyed 100 students on which superpower they would most like to have. The following table shows the collected data for those students:
Superpower Male Female Total
Fly 26 12 38
Invisibility 12 32 44
Other 10 8 18
Total 48 52 100
A student will be chosen at random.
a) Find the probability that the student chose to fly as their superpower.
b) Find the probability that the student was male.
c) Find the probability that the student was male, given the student chose to fly as their superpower.
d) Find the probability that the student chose to fly, given the student was male.
e) Is this statement about conditional probability true or false? Justify the answer
"In general, P(A | B)=P(B | A), You can reverse the order and the probability is the same either way."
f) Let K represents the event where the student chose invisibility as their superpower, and F represents the event where the student was female. Explain the interpretation of P(K | F)≈0.62.