Consider following table for two events A and B, with 3 and 2 outcomes, respectively: First Event Second Event A1 A2 A3 Total B1 4 6 8 18 B2 5 10 5 20 Total 9 16 13 38 Then P(B1|A2) is: 15.8% 0 37.5% 33.3% 42.1%D Question 8 3 pts A sample of 47 observations has a mean of 72. Suppose the population standard deviation is 10. What is the p-value, if the hypotheses test are: HO: (= 69 H1: 1# 69 0.0394 2.0567 0 0.4803 O 0.0197Question 9 3 pts Suppose you are designing a sample to find the mean age for young adults who commit crimes, with a maximum error of one year, with 99% of confidence level. If we know that population standard deviation is 6 years, the smallest sample size that you need is almost: 138 239 0 97 324Question 10 3 pts Suppose on average there are 5 plane crashes per year. Using Poisson probability distribution, the probability that there will be only 2 plane crashes next year is almost: O 40.0% O 3.6% O 8.4% 14.9% D Question 11