ProbabilityIf P(A) = 0.40, P(B) = 0.80, and P(A and B) = 0.30a)Determine whether A and B are independent. Show your calculation.b)Determine p(A or B) =2) The weight of a one cubic yard bag of landscape mulch is normally distributed with a mean of 40 pounds and a standard deviation of 1 pound.a)What is the probability that a bag will weigh less than 40 pounds?b)What is the probability that a bag will weigh between 38 and 40 pounds?Please provide the equation for each of the questions briefly that how you reached the answer.Do not just give the answer.Thanks