Let a and b be events in a probability space ( ; p) with 0 < p(b) < 1. Use the de nition of conditional probability and the additivity of probability to show that p(acjb) = 1 ������ p(ajb).

What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to