Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 {a spread of 52 1weeks]. Round answers to 4 decimal places when possible. a. The mean of this distribution is I I b. The standard deviation isI I o. The probability that a person will be born at the exact moment that week 10 begins is Pix = 10] = d. The probability that a person will be born between weeks 19 and 45 is PUG a\": :1: r: 45] = e. The probability that a person will be born after week 33 is Pb: :=~ 33} =I I f.F[k}2|:-: 3.8) = f. P(x > 1.9 | x > 1.2) = g. Find the 37th percentile. h. Find the minimum for the upper quartile.3