Assume that the Pb data in Box 3.2 are annual maximum EMCs for 1997 through 2005. Estimate the median, 90th, and 95th percentiles:

1) nonparametrically with Eq. 3.12, (3 pts)

2) assuming a normal distribution, and (3 pts)

3) assuming a lognormal distribution. (3 pts) Estimate the two-year, 10-year, and 25-year return period EMCs assuming:

4) a normal and (3 pts)

5) lognormal distribution. (3 pts)

6) What is the longest return-period EMC than can be estimated nonparametically? (3 pts)

Probability HW 1 Due February 18 Show all work (this includes formulas!) 1. A student is taking two summer courses, Statistics and Desktop Support Technology. The probability that the student will pass Statistics is 80. The probability that the student will pass Desktop Support is .92. The probability that the student will pass both is .84. A. What is the probability that the student will pass at least one course? B. What is the probability they will not pass statistics?You are told that the Number of Hours spent studying for Statistics each week is Normall Distributed with a Mean of 8.5 hours and a Standard Deviation of 3.25 hours. a. What is the probability that a Randomlyr chosen student will spend less than 8.5 hours studying statistics? b. What is the probability that a Randomly chosen student will spend less than 2.0 hrs studying statistics c. What is the probability that a Randomly chosen student will spend between 2 hours and 14.5 hrs studying statistics d What is the probability that a Randomly chosen student will spend between 2.5 and 10.0 hrs studying statistics each week Question,2 Contamination is a problem in the manufacture of magnetic storage disks. Assume that the number of particles of contamination that occur on a disk surface has a Poisson distribution, and the average munber of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 square centimeters. Determine the probability that 12 particles occur in the area of a disk under study.What is the probability that zero particles occur in the area of the disk under study? Determine the probability that 12 or fewer particles occur in the area of the disk under study. Question 8) Binomial Probability Distribution According the center for statistical research at the United Nations, 20%% on U.S. teens enjoy taking mathematics classes. Suppose 10 U.5. teens are selected and the number who enjoys taking statistics is recorded. . [5 Points] What is the probability that exactly 2 will enjoy taking statistics? . [7 Points] What is the probability that 2 or fewer will enjoy taking statistics? . [3 Points] What is the probability that 3 or more will enjoy taking statistics