Please answer question 2.33 part A! Sprint LTE 4:00 PM drive.google.com 2.6. EXE
ID: 3044701 • Letter: P
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Please answer question 2.33 part A!
Sprint LTE 4:00 PM drive.google.com 2.6. EXERCISES 123 2.30 Books on a bookshelf. The table below shows the distribution of books on a bookcase based on whether they are nonfiction or fiction and hardcover or paperback. Format are icti Type Nonfiction 15 23 ota 67 (a) Find the probability of drawing a hardcover book first then a paperback fiction book second when drawing without replacement. (b) Determine the probability of drawing a fiction book first and then a hardcover book second when drawing without replacement (c) Calculate the probability of the scenario in part (b), except this time complete the calculations under the scenario where the first book is placed back on the bookcase before randomly drawing the second book. (d) The final answers to parts (b) and (c) are very similar. Explain why this is the case 2.31 Student outfits. In a classroom with 24 students, 7 students are wearing jeans, 4 are wearing shorts, 8 are wearing skirts, and the rest are wearing leggings. If we randomly select 3 students without replacement, what is the probability that one of the selected students is wearing leggings and the other two are wearing jeans? Note that these are mutually exclusive clothing options. 2.32 The birthday problem Suppose we pick three people at rando Foreach of the following questions, ignore the special case where someone might be born on February 29th, and assume that births are evenly distributed throughout the year (a) What is the probability that the first two people share a birthday? (b) What is the probability that at least two people share a birthday? 2.6.4 Random variables 2.33 College smokers. At a university, 13% of students smoke. (a) Calculate the expected number of smokers in a random sample f 100 students from this university (b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 27 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 27 students? 2.34 Ace of clubs wins. Consider the following card game with a well-shuffled deck of cards. If you draw a red card, you win nothing. If you get a spade, you win S5. For any club, you win $10 plus an extra S20 for the ace of clubs. (a) Create a probability model for the amount you win at this game. Also, find the expected winnings for a single game and the standard deviation of the wings (b) What is the maximum amount you would be willing to pay to play this game? Explain your reasoningExplanation / Answer
2.33 part - A)
Number of students sampled = 100
Proportion of smokers in University = 13%
Hence,
Expected number of smokers = 100(0.13) = 13