Question 1: Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000. A random sample of 400 households has been chosen. In this sample, let X be the number of households that earn over 80,000, and let Y be the number of households that earn over 450,000.Use normal and Poisson approximation, whichever is appropriate in either case, to find the simplest estimates you can for the probabilities P(X ≥ 48) and P(Y ≥ 2). Question 2 : John each day performs the following experiment: he repeatedly flips a coin until he gets tails and counts the number of coin flips needed. (a) Approximate the probability that in a year there are at least 3 days where he needed more than 10 coin flips. (b) Approximate the probability that in a year there are more than 50 days where he needed exactly 3 coin flips.