P(a) = 0.3, p(b) = 0.7

a. can you compute p(a and b) if you only know p(a) and p(b)?
b. assuming that events a and b arise from independent random processes,

i. what is p(a and b)?
ii. what is p(a or b)?
iii. what is p(a|b)?
c. if we are given that p(a and b) = 0.1, are the random variables giving rise to events a and b independent?
d. if we are given that p(a and b) = 0.1, what is p(a|b)?

Step-by-step explanation:

Given that

a) this is not sufficient to calculate P(A and B) unless we know how many entries are common between them

b) Assuming that events A and B arise from independent random processes,

When A and B are independent joint probability would be the product of probabilities

i.  P(A and B)? =

ii.  P(A or B)=

iii.  P(A|B) = P(A) when A and B are independent.

c. If we are given that P(A and B) = 0.1, are the random variables giving rise to events A and B independent?

No here P(AB) not equals P(A) P(B)So A and B cannot be independent.

d. If we are given that P(A and B) = 0.1,

P(A|B)=

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09