Suppose that we have two events, A and B, with P(A) = 0.40, P(B) = 0.60, and P(A ∩ B) = 0.20. (a) Find P(A | B). (Round your answer to four decimal places.) P(A | B) = (b) Find P(B | A). P(B | A) = (c) Are A and B independent? Why or why not? A and B independent because .

a.) 0.3333

b.) 0.5

c.) A and B are NOT independent

Step-by-step explanation:

We're given P(A) = 0.4, P(B) = 0.6, P(AnB)

a.) From law of probability,

P(A l B) = P(AnB)/P(B)

P (A l B) = 0.2/0.6 = 0.3333

b.) similarly, going by the above law of probability,

P(B l A) = P(BnA)/P(A)

P(B l A) = 0.2/0.4 = 0.5

c.) Two events A and B are said to be independent if mathematically, any of the following conditions are satisfied.

i.) P(A l B) = P(A)

ii.) P(B l A) = P(B)

Since both conditions stated above are not satisfied, that is:

P(A l B) [0.3333] ≠ P(A) [0.4]

P(B l A) [0.5] ≠ P(B) [0.6]

then the two events A and B are NOT Independent

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

its an acute right triangle

step-by-step explanation: