Transcription of Assignment 2 Math 157 Summer 2017
1 Assignment 2. Math 157. Summer 2017. Question 1. Make a frequency distribution of the data set using five classes. 13 15 15 8 16 20 28 19 18 15. 21 23 30 17 10 16 15 16 20 15. Question 2. Six test scores are given. The first 5 test scores are 15% of the final grade, and the last test score is 25% of the final grade. Find the weighted mean of the test scores. 78 72 86 91 87 80. Question 3. The ages of the Supreme Court justices as of January 27, 2010 are listed. Find the (a). range and (b) the population standard deviation of the data. 55 89 73 73 61 76 71 59 55. Question 4. For the following data, find (a) Find the five-number summary of the data set. (b) Find the interquartile range. 53 57 60 57 54 53 54 53 54 42 48 53 47. 47 50 48 42 42 54 54 60. Question 5. The state of Virginia's license plates have three letters followed by four digits. Assuming that any letter or digit can be used, how many different license plates are possible?
2 Question 6. A card is randomly selected from a standard deck. Find the probability that the card is between 4 and 8, inclusive, or is a club. Question 7. You are shopping, and your roommate has asked you to pick up toothpaste and dental rinse. However, your roommate did not tell you which brands to get. The store has eight brands of toothpaste and five brands of dental rinse. What is the probability that you will purchase the correct brands of both products? Is this an unusual event? Explain. Question 8. Decide whether the random variable x is discrete or continuous. a) Let x represent the number of pumps in use at a gas station. b) Let x represent the weight of a truck at a weigh station. c) Let x represent the amount of carbon dioxide emitted from a car's tailpipe each day. d) Let x represent the number of people that activate a metal detector at an airport each hour.
3 Question 9. Bags of plain M&M's contain 24% blue candies. One candy is selected from each of 12. bags. What is the probability that 4 blue candies are selected? Question 10. For a certain light bulb manufacturer, the probability that a light bulb is defective is 5%. A. small convenience store purchases 15 light bulbs from this manufacturer. What is the probability 0 are defective?
