Kindly answer the following with a step by step explanation. Trying to verify my answer. Thanks.

Question 1:

If P (A) = 0.8 and P(B) =0.9

Show that

a) P(A N B ) > or = 0.7;

b) In general, prove Bonferroni's inequality, namely

P (A N B) >= P(A) + P(B) - 1.