Question 8 10 pts Let X be a normally distributed random variable with ? = 100 and ? = 10. Find the

Question 8 10 pts Let X be a normally distributed random variable with ? = 100 and ? = 10. Find the probability that X is between 70 and 110. (Round your answer to the nearest whole number percent and include the percent symbol.) Question 9 10 pts Using the table below showing the number of students who are taking a statistics course in the traditional face­to­face mode versus online by gender. Assume one person is chosen at random from the 220. What is the probability that person is an online student who is also male? Enter your answer as a fraction (a/b). Online Traditional Totals Male 30 60 90 Female 40 90 130 Totals 70 150 220 Question 10 10 pts Using the table below showing the number of students who are taking a statistics course in the traditional face­to­face mode versus online by gender. Assume one person is chosen at random from the 220. What is the probability that person is a male student taking the course in the traditionalmode? Enter your answer as a fraction (a/b). Online Traditional Totals Male 30 60 90 Female 40 90 130 Totals 70 150 220 Question 11 10 pts A delivery truck must make stops in eight different cities, designated by the first letter in the name of the city: A, B, C, D, E, F, G, and H. If the order in which the truck visits the eight locations is chosen randomly, what is the probability that it will visit them in alphabetical order? Question 12 10 pts What is the approximate minimum percentage of data in any frequency distribution that lies within 3 standard deviations of its mean? 75%89%99.7% Question 13 10 pts Suppose P(A|B) = P(A), P(A and B) = .36, and P(A) =.9. What is P(B)? 0.0040.040.4 Question 14 10 pts If A and B are independent events which rule do we use? P(A and B) = P(A) .P(B)P(A or B) = P(A) + P(B) Question 15 10 pts If the goal is to make an inference about a population from a sample, and each member of the population has an equally likely chance of being chosen for the sample, we say the sample has been___________chosen. Question 16 10 pts Let a random sample be taken of size n = 100 from a population with a known standard deviation of ?= 20. Suppose that the mean of the sample is = 37. Find the 95% confidence interval for the mean, ?, of the population from which the sample was drawn. (Answer in CI format and round the values to whole numbers.) Question 17 Name three measures of center.1. _____________2. _____________3. _____________ 15 pts