i have two questions that i have answered, but unsure about my working and so unsure about my answers. Can someone please tell me whether my answers are correct.
1. Two events A and B are such that P(A) = 1/2, P(A|B') = 2/3 and P(A|B) 3/7. Find:
a) P(A intersect B)
b) P(A union B)
State with reasons whether A and B are i) independent, ii) mutually exclusive.
2. The probability that a door to door slaesman convinces a customer to buy his products is 0.7. Assuming that sales are independent, find the probability that the salesman makes a sale before reaching the fourth house.
1. a) 1/6
i) I got A and B are not independent because P(A) * P(B) is not equal to P(A intersect B)
ii) I got A and B are not mutually exclusive as P(A intersect B) is not equal to 0.
2. i got: 0.9919
Can someone please tell me whether these answers are correct, and if not, can you tell me how to go about it.
Which unis have sent theirs?