7) Given a 6/36 lottery, how many possible tickets would have no winning numbers?
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A: GivenNo.of subjects(n) =43No.of subjectes to be selected(r)=5
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A: Given that, there are total 55 numbers and among them winning numbers are 6.
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A: The value of N is 141.
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A: Given,no.of digits from 1-9 =9
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A: The given data is as follows: CategoryObserved1-7378-142015-212122-282529-3539
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A: Given,no.of defective bulbs=10no.of good bulbs=90Total no.of bulbs=100
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- g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell whether tea or milk was added first to a cup. So as a researcher, you want to test whether she can really tell whether tea or milk was added first. But how would you do it? A possible research design: Give her eight cups, four where tea is added first and the other four where milk is added first, in random order. Then ask her to pick out the four cups where the milk is added first. After you conducted the experiment and collected the data, how do you decide whether she can truly tell the difference or she was just guessing. Our intuition tells us that the more cups she gets correctly, the more likely that she is NOT guessing. "If the Lady is just guessing, the probability of getting it all correctly is 1.4%." Now using your knowledge on combinatorics and probability, explain how this number was calculated? h) Suppose you flip four fair coins. What is the probability that you will get all…How many different 7-card hands can be selected from an ordinary deck?A bag contains 8 black, 7 yellow, and 10 green marbles. If a sample of 6 is drawn at random, how many samples are possible in which the marbles are: a. all green? b. 2 black, 2 yellow, and 2 green?
- In order to conduct an experiment, 5 subjects are randomly selected from a group of 50 subjects. How many different groups of 5 subjects are possible? the number of possible different groups isIs the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 141 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 1–7, 8–14, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Category 1–7 8–14 15– 21 22–28 29–35 Observed 22 20 29 32 38 Send data to Excel ) State the null and alternate hypotheses. H0: p1=p2=p3=p4=p5=?…In the California Daily 4 lottery, four digits are randomly selected each day. Listed below are the digits that were selected in one recent week. Construct a DOTPLOT by hand, of course. Does the DOTPLOT suggest the lottery is basically fair? 5, 3, 8, 9, 2, 9 ,1, 1, 3, 0, 9 ,7 ,3, 8, 7 ,4, 7 ,4 ,8, 5, 6, 8, 0, 0, 4, 7, 5 ,3
- 57 cities were surveyed to determine sports teams. 21 had baseball,18 had football, 13 had basketball, 12 had baseball and football, 9 had baseball and basketball, 8 had football and basketball. 5 had all three. How many had only a football team?As part of a statistics project, a teacher brings a bag of marbles containing 800 white marbles and 200 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 150 marbles from the bag. Of the 150 marbles, 35 are red. A)The target population consists of The 1000 marbles in the bag The 150 marbles drawn by the student The 200 red marbles in the bag The 35 red marbles drawn by the student None of the above B)The sample consists of None of the above The 150 marbles drawn by the student The 200 red marbles in the bag The 1000 marbles in the bag The 35 red marbles drawn by the student c)Based on the sample, the student would estimate that _______marbles in the bag were redIs the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 143 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 1-7, 8-14, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.10 level of significance and the P-value method with the TI-84 Plus calculator. Category 1-7 8-14 15-21 22-28 29-35 Observed 21 40 24 23 35 State the null hypothesis Compute the P-value Determine whether to reject H0 state the conclusion
- 1. Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly selected to appear on the class bulletin board, how many different groups of 3are possible? (calculate number of combinations of 3 items from 16 available items).Show the result of calculations.As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 28 are red.A)The target population consists of The 300 red marbles in the bag The 28 red marbles drawn by the student The 1000 marbles in the bag The 100 marbles drawn by the student None of the above B) The sample consists of The 100 marbles drawn by the student The 28 red marbles drawn by the student The 300 red marbles in the bag The 1000 marbles in the bag None of the above C) Based on the sample, the student would estimate that _____ marbles in the bag were red.4. In a lottery game where 4 numbers are chosen from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9), how many different 4-number cards could be made where: a) order is taken into consideration? b) order is not taken into consideration?
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