Flamborough, Ontario hosts an annual convention for collectors of rare paintings. The number of paintings owned by each person attending is approximately normally distributed with a mean of 73 and a standard deviation of 7. a. What is the probability that a randomly-chosen person attending this convention owns between 67 and 74 paintings (inclusive)? Include a relevant, detailed diagram. b. You hope to meet a superstar collector owning more than 95 paintings. Bella and Lance both seem to have large collections. What is the probability that both of those two enthusiasts own more than 95 paintings? C. One convention attendee, Richard, claims to be among the top 2.5% of all collectors. He owns 100 paintings. Should you believe him? Explain why or why not.

Seven students on an intramural team weigh 205 lb, 193 lb, 200 lb, 211 lb, 183 lb, 202 lb and 206 lb. What is the standard deviation of the weights of these students? The standard deviation is (Round to the nearest tenth.)

The tourist bureau of the Caribbean Island survey a sample of 6 United States tourists as they left to return home. The tourist was asked how many days they spent on their visits. Their responses were as follows: 11,8,6,12,10,7 find the standard deviation of this sample of numbers.

Which of the two samples in each set has the higher standard deviation. Answer this question by looking at the data without any computation. Explain your reasoning for each answer. Set 1 – Sample A: 16, 16, 16, 16, 16 – Sample B: 20, 20, 20, 20, 20 Set 2 – Sample A: 16, 16, 16, 16, 16 – Sample B: 15, 16, 16, 16, 16 Set 3 – Sample A: 20, 25, 25, 25, 30 – Sample B: 15, 25, 25, 25, 35 Set 4 – Sample A: 20, 20, 30, 40, 40 – Sample B: 20, 25, 30, 35, 40

Given the following distribution of scores: 2, 8, 2, 3, 6, 5, 7, 8, 4, 8, 2, 3 What is the mode of the distribution? Group of answer choices 2 8 Both 5 and 7 Both 2 and 8

7a. Suppose you go to Alaska in February where the chance of snow is .90 (90 percent).  You are there for two days.  Make the probability distribution associated with this experience. b. Find the mean, variance, and standard deviation for number 7.

Write up your results as you would see them in a research paper. Be sure that you include the means and standard deviations for each group in your write-up, as well as a sentence or two explaining the results