Lesson 8 Assignment Started: Jul 6 at 3:33am Quiz Instructions Use the information below to answer the questions that follow: While the Mars candy company no longer reports the percentages of each color M&M that are produced, they had previously reported the following: 13% brown 13% red 14% yellow __% green 20% orange 24% blue Question 1 1 pts The percentage of green M&Ms must be: 8% 16% 28% 40% None of the above Question 2 What is the probability that a randomly selected M&M will be yellow? 0.02 0.14 1 pts 0.20 0.86 None of the above Question 3 1 pts What is the probability that two randomly selected M&Ms will both be orange? (0.2)*(0.8) = 0.16 (0.2)+(0.2) = 0.4 (0.2)*(0.2) = 0.04 0.2 None of the above Question 4 1 pts What is the probability that a randomly selected M&M will be either brown or orange? (0.2)-(0.13) = 0.07 0.2 (0.2)*(0.13) = 0.026 (0.2)+(0.13) = 0.33 None of the above Question 5 What is the probability that a randomly selected M&M will not be brown? 1 pts 0.03 0.13 (0.13)*(0.13) = 0.017 1 - 0.13 = 0.87 (0.87)-(0.13) = 0.74 None of the above Question 6 1 pts The probability that more than 25% of the M&Ms will be brown is the same regardless of whether 10 or 100 M&Ms are randomly selected. True False Question 7 1 pts If two M&Ms are chosen in succession, what is the probability that the first one will be brown and the second one will be blue? (0.13)+(0.24) = 0.37 (0.13)*(0.24) = 0.0312 (0.24)-(0.13) = 0.11 0.24 0.13 None of the above Use the information below to answer the questions that follow: Consider the following events related to the ages of CEOs of companies throughout the United States, and answer the questions that follow. Event A: CEO is under 40 Event B: CEO is at least 30 Event C: CEO is in his or her 50s Event D: CEO is under 60 Question 8 1 pts Events A and B are mutually exclusive. True False Question 9 1 pts Events A and C are mutually exclusive. True False Question 10 Event A is a subset of Event C. True False 1 pts Question 11 1 pts Event A is a subset of Event D. True False Use the information below to answer the questions that follow: In 2012, the CDC reported that approximately 28% of US adults were obese. Suppose that percentage is also currently true for the population of all US adults. Question 12 1 pts If one US adult is randomly selected, which of the following represents the probability that he or she is not obese? 0.28 (0.28)*(0.28) 1 - 0.28 (0.28)+(0.28) None of the above Question 13 1 pts If two US adults are randomly selected, which of the following represents the probability that the first adult is obese and the second adult is not obese? (0.28)*(0.28) (0.28)*2 (0.72)*(0.72) (0.72)*2 1 - 0.28 (0.28)*(0.72) Use the information below to answer the questions that follow: A class of statistics students was asked, \"Regarding your weight, do you think you are: about right, overweight, or underweight?\" The following table displays the results by gender. Question 14 1 pts A student is selected at random from the class, what is the probability that the student is female? 87/212 129/83 83/212 129/212 87/129 None of the above Question 15 1 pts A student is selected at random from the class, what is the probability that the student is a male whose weight perception is "about right."? 64/212 87/212 83/212 64/151 64/83 None of the above Question 16 1 pts The probability that a randomly chosen student is either female or a male whose weight perception is "about right" = (129+64)/212. True False Question 17 1 pts The probability that a randomly chosen women in the class perceives her weight to be "about right" = 87/212. True False Multiple Choice and True / False Questions Question 18 Consider the following three events based on a class of kindergarten students. 1 pts Event A: student 1 has the flu Event B: student 2 has the flu Event C: student 3 has the flu True or False? - These three events are independent. True False Question 19 1 pts The chance that an infant born at a large hospital is a girl is 48%. If all ten babies born one day at this hospital are boys, then the chance that the first baby born the next day is a girl would be Greater than 48% Smaller than 48% Still 48% Question 20 1 pts An insurance company expects 10% of its policyholders to collect claims of $400 this year and the remaining 90% of its policyholders to collect no claims. The variable is the amount they will pay in claims per person. What is the expected value of this variable? $0 $40 $360 $400 Cannot be determined from the information provided. Question 21 1 pts Half of Reese's Pieces candies are orange. Which is most likely? The chance that between 45% and 55% of sixty randomly chosen Reese's Pieces are orange. The chance that between 45% and 55% of five-hundred randomly chosen Reese's Pieces are orange. The chance that between 45% and 55% randomly chosen Reese's Pieces are orange is the same regardless of whether you choose sixty or five-hundred candies. Question 22 1 pts Half of Reese's Pieces candies are orange. Which is most likely? The chance that less than 40% of sixty randomly chosen Reese's Pieces are orange. The chance that less than 40% of five-hundred randomly chosen Reese's Pieces are orange. The chance that less than 40% of randomly chosen Reese's Pieces are orange would be the same regardless of whether you choose sixty or five-hundred. Essay Questions Use the information below to answer the questions that follow: The distribution of the number of days a patient stays in the hospital after successful laparoscopic gallbladder surgery is as follows: 44% stay just 1 day; 50% stay 2 days; and 6% stay 3 days. 2 pts Question 23 Set up the calculation too find the expected number of days a patient will stay in the hospital after laparoscopic gallbladder surgery. Show your work. HTML Editor ! / " 0 # 1 $ 2 $ % & 3 ' 4 ( ) Font Sizes * + , Paragraph - . x*P(x)=1*.44+2*.5+3*.06=1.62 days p 5 Question 24 2 pts State clearly and completely what the value calculated in #23 represents. HTML Editor ! / " # 0 1 $ 2 $ % & 3 ' 4 ( ) * Font Sizes + , - . Paragraph The calculated values shows that the average stay in the hospital is 1.62 days. p 5 Essay Questions Identify how each of the following statements violates the rules of probability. Clearly and completely state the issue and explain. 2 pts Question 25 The probability that a randomly selected person has a cellular phone is 0.75 whereas the probability that a randomly selected person does not have a cellular phone is 0.30. HTML Editor ! / " 0 # 1 $ 2 $ % & 3 ' 4 ( ) Font Sizes * + , Paragraph - . This violates the law of probability as the sum of having success of an event an not having is greater than 1. As shown, (.75+.3=1.05>1) p 5 Question 26 2 pts The probability that a randomly selected person has an AT&T or Verizon cellular phone is 0.75 whereas the probability that a randomly selected person has a cellular phone is 0.75. HTML Editor ! / " 0 # 1 $ 2 $ % & 3 ' 4 ( ) Font Sizes * + , - . Paragraph AT&T/Verizon is a subset of a cellular phone. Therefore the probabilities are equal. p 5 Quiz saved at 6:33am Submit Quiz