1.The experiment consists of observing the monthly interest rate thatan investment pays. Possible child values: 3%, 4%, 5%, and 6%. We know from previous information that the probability that the interest rate is i + 1% is half the probability that the rate is i% for any value i. Calculate:a) The probability that the rate is greater than 4%b) The probability that the rate is greater than 4% if we know that it is greater than 3%2.We know that P (A) = 0.4, P (B?) = 0.7 AND P (A nB) = 0.2a) Are A and B independent?b) Calculate P (A? | B)MathStatistics and Probability MATH 101
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