Suppose you toss a coin 100 times and get 76 heads and 24 tails. Based on these results, what is the probability that the next flip results in a tail? Question list K O Question 3 The probability that the next flip results in a tail is approximately. (Type an integer or decimal rounded to two decimal places as needed.) O Question 4 O Question 5 O Question 6 O Question 7If a person spins a three-space spinner and then draws a playing card and checks its suit, describe the sample space of possible outcomes using 1, 2, 3 for the spinner outcomes and C, D, H, S for the card outcomes. Question list IG 0 Question 3 The sample space is S =( )t (Use a comma to separate answers as needed.) 0 Question 4 0 Question 5 0 Question 6 Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an even number less than 9." Question list K O Question 3 P(E) = (Type an integer or a decimal. Do not round.) O Question 4 O Question 5 Question 6A survey of 500 randomly selected high school students determined that 286 play organized sports. uestion list l Q (a) What is the probability that a randomly selected high school student plays organized sports? (b) Interpret this probability. 0 Question 3 (a) The probability that a randomly selected high school student plays organized sports is . 0 Question 4 (Round to the nearest thousandth as needed.) 0 Question 5 0 Question 6 0 Question 7 Question list 0 Ques Ques Ques Ques Ques (Dues: ion 3 ion 4 ion 5 ion 6 ion 7 ion 8 A bag of 100 tulip bulbs purchased from a nursery contains 35 red tulip bulbs, 25 yellow tulip bulbs, and 40 purple tulip bulbs. I6 (a) What is the probability that a randomly selected tulip bulb is red? (b) What is the probability that a randomly selected tulip bulb is purple? (c) Interpret these two probabilities. (a) The probability that a randomly selected tulip is red is (Type an integer or a decimal. Do not round.) In a national survey college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The Response Frequency Question list K response frequencies appear in the table to the right. (a) Construct a probability model for seat-belt use by a passenger. (b) Would you Never 143 consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? Rarely 332 Sometimes 579 Most of the time 1079 O Question 3 Always 2713 C.. O Question 4 (a) Complete the table below. Response Probability Never (Round to the nearest thousandth as needed.) O Question 5 O Question 6 O Question 7 Question 8A baseball player hit 67 home runs in a season. Of the 67 home runs, 23 went to right field, 19 went to right center field, 12 went to center field, 12 went to left center field, and 1 went to left field. Question list K (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for this player to hit a home run to left field? Explain. O Question 3 C. .. O Question 4 (a) The probability that a randomly selected home run was hit to right field is. (Round to three decimal places as needed.) O Question 5 O Question 6 O Question 7Question list 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 I The table shows the results of rolling a fair six-sided die. Complete parts (a) through (cl) below. "''." " 19 10 Trials 500 Trials :1 Die Trials 1 20 18 84 2 15 22 83 3 15 13 79 4 13 14 76 5 19 15 89 6 18 18 89 Vex ques Ion (a) Using the table, find the empirical probability of rolling a 5 for the rst 100 trials. The empirical probability of rolling a 5 for the first 100 trials is (Round to two decimal places as needed.) You suspect a 6-sided die to be loaded and conduct a probability experiment by rolling the die 400 times. The outcome of the experiment is listed in the following table. Do Full data set i: Question list I6 you think the die is loaded? Why? 1 123 4 47 2 40 5 50 0 Question 3 3 38 6 102 0 Question 4 Do you think the die is loaded? 0 A. Yes. because the probabilities are not the same 0 Question 5 O B. Yes' because two of the values have a higher probability of occurring than expected under the assumption of equally likely outcomes. 0 C' No, because each value has an approximately equal chance of occurring 0 Question 6 0 Question 7 0 Question 8 0 0| iestinn 9 In a recent survey, it was found that the median income of families in country A was $57,700. What is the probability that a randomly selected family has an income greater than $57,700? Question list K O Question 3 What is the probability that a randomly selected family has an income greater than $57,700? (Type an integer or a decimal.) O Question 4 O Question 5 O Question 6 O Question 7Explain the Law of Large Numbers. How does this law apply to gambling casinos? Question list I uestion 4 O Q Choose the correct answer below. . C A. As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to the probability of the outcome. This applies to casinos because they are able to O QUESUOH 5 make a prot in the long run because they have a small statistical advantage in each game. C) B. As the number of repetitions of a probability experiment increases. the proportion with which a certain outcome is observed gets closer to 1. This applies to casinos because they are able to make a prot in the long run because they have a small statistical advantage in each game. 0 QUSStiDn 6 (:1 C. As the number oi repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to D. Casinos use the Law 01 Large Numbers to determine how many players gamble in certain games. . As the number oi repetitions of a probability experiment increases. the proportion with which a certain outcome is observed gets closer to the probability of the outcome. Casinos use the Law of Large Numbers to 0 Question 7 determine how many players gamble in certain games. 0 Question 8 0 Question 9 0 Question 10 A national survey asked people, "How often do you eat out for dinner, instead of at home?" The frequencies Construct a relative frequency distribution of the data. Question list K were as follows. Response Relative Frequency O Question 5 Response Frequency Never Never 214 Rarely Rarely 632 O Question 6 Sometimes Sometimes 992 Most of the time Most of the time 330 Always O Question 7 Always 15 (Round to three decimal place as needed.) O Question 8 O Question 9