Worksheet 10 Chapters 5-7 5/1/17. (b) How many samples contain exactly 2 halter dresses?
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1 Names Date Worksheet 10 Chapters 5-7 5/1/17 1. Jenny has 8 different sundresses in her closet. 2 of them are strapless, 3 are halter dresses, and 3 are spaghetti strapped. She will take a sample of 3 dresses from her closet. (a) What is the total number of samples? (b) How many samples contain exactly 2 halter dresses? (c) What is the probability that she will choose a sample with exactly 2 halter dresses? (d) What is the probability that she will chose exactly 2 halter dresses or exactly 2 spaghetti strapped dresses? Explain your answer. 1
2 2. (a) How many different poker hands are 4 of a kind? Recall 4 of a kind is a hand that contains 4 of one card type then 1 of another. Explain clearly your thought process. (b) Toss a coin 6 times and observe the sequence of heads and tails. different sequences are possible? How many (c) In Minnesota, license plates consist of three letters, a space then four numbers i.e. MGM How many such license plates are possible? (d) A club has 15 members and needs to elect a president, vice president, secretary and treasurer. How many ways can they do this? 2
3 3. (a) On the following Venn diagram, shade the set (A B) C (b) In a survey of 130 college students, 90 are baseball fans, 62 are hockey fans, and 50 are fans of baseball AND hockey. i. Draw a Venn diagram depicting this situation. Make sure to clearly label all sets and include all numbers in the Venn diagram. ii. How many students like baseball but not hockey? iii. How many students like baseball or hockey? iv. How many students don t like baseball and don t like hockey? 3
4 4. A survey asks some kids for the month they were born and their favorite food. Name Month Born Favorite Food Amy July Hot Dog Ben November Mac & Cheese Colten January Mac & Cheese Donna November Hot Dog Eve July Chicken Nuggets Freddy March Hot Dog Grace May Chicken Nuggets (a) Let A = {Kids whose favorite food is a Hot Dog}. List the elements of A. (b) Let B = {Kids who were born in November}. List the elements in B. (c) List the elements in A B. Give a verbal description of A B. (d) List the elements in A. Give a verbal description of the set A. (e) Let C = {Colten}. What is A C? (f) Find the following: i. n(a) = ii. n(b) = iii. n(a B) = iv. n(a B) = v. n(a ) = vi. n(b ) = 4
5 5. (a) Let P (E) =.6, P (F ) =.3 and P (E F ) =.1 Find the following probabilities: i. P (E F )= ii. P (E F ) = iii. P (E ) = (b) The probability that a toddler likes cartoons is The probability that a toddler likes cartoons and likes to play on the slide is Given that a toddler likes cartoons, what is the probability that they like to play on the slide? 5
6 6. At a carnival, you can spend $5 on a ticket to a show. They will draw one name out of the hat and that person will be named Karnival King and receive a grand prize of $200 plus their ticket reimbursed. They will draw 5 more names to come play a fair game (that is, everyone has an equal chance of winning) during the show. If they win, they will receive a prize of $100 plus their ticket reimbursed. Suppose 50 people attend the show. (a) Make a probabilistic tree diagram to represent the possibilities winning/losing money by attending the show. (b) Make a probability distribution of your possible winnings. (c) What are your expected winnings for attending the show? 6
7 7. According to a study conducted by Purdue University, 40% of college students don t use primary sources when writing term papers. Suppose that I survey 20 college students. Answer the following. (a) What is the probability that 3 of the people surveyed don t use primary sources? (b) What is the expected number of people who don t use primary sources? (c) What is the variance? (d) What is the standard deviation? 7
8 8. I want to get a general picture of how much money I spend on groceries. My grocery bills, rounded to the nearest $10 for the last 10 weeks are listed below 70, 80, 90, 90, 80, 70, 100, 70, 80, 80 (a) Fill in the following table with frequencies and relative frequencies for this data. Hours of Sleep Frequency Relative Frequency (b) What is the mean number of hours I slept? (c) What is the median number of hours I slept? (d) What is Q 1 for this data? (e) What is Q 3 for this data? (f) Make a box plot for this data. 8
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Smoothing the histogram: The Normal Curve (Chapter 8)
Sept. 3 Statistic for the day: Compared to same month the previous year, average monthly drop in U.S. traffic fatalities from May 27 to Feb. 28:.2% Drop in March 28: 22.1% Drop in April 28: 17.9% Smoothing