Suppose you have two six-sided dice where each side is equally likely to land face up when rolled.
_ Question 4 Suppose you have two six-sided dice where each side is equally likely to land face up when rolled. 1 point What is the probability that you will roll doubles? How Did I Do'? (Give your answer as a number between 0 and 1. Round to 2 decimal places.) What is the probability that you will roll a sum of ten? (Give your answer as a number between 0 and 1. Fiound to 2 decimal places.) Are these empirical or a theoretical probabilities? 0 Empirical 6) Theoretical _ Question 5 Francisca recorded the colors of cars parked in her apartment parking ot every day for several months. She used these numbers to develop the following probability model. 1 point Use Francisca's probability model to answer the questions below. Give all answers as numbers between 0 and 1. How Did I Do? What color of car is most common? 0 Fted 0 Blue 0 Green 0 White 0 Grey 0 Black 0 Brown What color of car is least common? 0 Fted 0 Blue 0 Green 0 White 0 Grey 0 Black 0 Brown What is the probability a randomly selected car is grey? What is the probability a randomly selected car is either red or green? What is the probability a randomly selected car is not black? Question 6 Suppose you toss a coin three times and count the number of heads. Fill in the blanks in the following table to create a probability model for this situation. Give all probabilities as a fraction or as numbers between 0 and 1. 1 point Number of 0 2 3 How Did I Do? Heads Probability Number Number Number Number (Hint: Make a tree diagram similar to the one used in "Example 2 - Tossing a Coin" in the Lesson 12 Reading)_ Question 7 In the Fall semester of 2001 there were 3,645 female students and 5,009 male students enrolled at BYU-Idaho. What percentage of students during that semester were female? How Did I Do? (Round the final percentage to one decimal place) Is this number a parameter or a statistic? 0 Parameter O Statistic In a random sample of 300 students from the 2001 fall semester there are 150 females and 150 males. What percentage of students in the sample are female? (Round the final percentage to one decimal place) Is this number a parameter or a statistic? 0 Parameter O Statistic Nolan flipped his lucky coin 19 times and got 9 heads. Nolan used these numbers to estimate the probability of getting a head with his lucky coin. - Question 8 1 point What is the estimated probability of Nolan flipping a head with his lucky coin? (Write your answer as a decimal rounded to 3 decimal places) Find the margin 01 error for Nolan's estimated probability above. (Write your answer as a decimal rounded to 3 decimal places) Create a confidence interval forthe chance of flipping a head with Nolan's lucky coin. (Write your answers as a decimal rounded to 3 decimal places) Can Nolan conclude that the probability of flipping a head with his lucky coin is actually different from 0.5? 3 Yes, the probability of flipping a head with Nolan's lucky coin was shown to be 0.474, which is clearly different from 0.5. Yes, the 95% confidence interval does not contain 50% so this shows evidence that the true probability of flipping a head for Nolan's lucky coin is not 3 0.5. No, the 95% confidence interval contains 50% as a possibility so it would be illogical to think that Nolan's lucky coin has a probability different from 0.5 based on his sample of data. C] _ Question 9 In 2013, the Public Religion Research Institute conducted a sun/ey of 1,033 adults, 18 years of age or older, in the continental United States. One of the questions on their survey was as follows: 1 point How often do you watch college or professional sports? (a) More than once a week [227 respondents selected this answer] (b) Once a week [196 respondents selected this answer] (c) Once or twice a month [114 respondents selected this answer] How Did I Do? (d) A few times a year [114 respondents selected this answer] (9) Seldom [134 respondents selected this answer] (f) Never [248 respondents selected this answer] Complete the following probability model tor the probability of each answer to this survey question. Round the probabilities to three decimal places. Sample Space (Quesllon Answers) Probability {Rounded In 2 deolmals) MOI'E than once a week - :1 | Once or twice a month - A few times a year - 0.13 Create a 95% confidence interval to estimate the actual percentage of adults in the us, aged 18 and older, that watch spons at least once a week. (Hint: this includes "More than once a week" and "Once a week" answers) Round the probability to two decimal places (answer as a decimal, not a percentage). _ Question 1 0 In 2013, the Public Religion Research Institute conducted a sunrey of 1,033 adults, 18 years of age or older, in the continental United States. One of the questions on their survey was as follows: 1 paint On any given Sunday, are you more likely to only be in church, more likely to only be watching football, doing both, or doing neither? (a) To only be in church [269 respondents selected this answer] (b) To only be watching football [175 respondents selected this answer] (c) Doing both [217 respondents selected this answer] How Did I Do? (d) Doing neither [372 respondents selected this answer] Complete the following probability model for the probability of each answer to this survey question. Give your answer as a percentage rounded to one decimal place. WW To only be in church m % To only be watching football Number % Doing both M % Doing neither Number "A: Create a 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely'I to ONLY be in church on any given Sunday. Round to the nearest percentage
