A soccer team estimates that they will score on 12% of the comer kicks. In next week's game, the team hopes to kick 13 corner kicks. What are the chances that they will score on 4 of those opportunities?
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- Joe likes to go to an old arcade and play 8 games of Skeeball every day. On average, he wins a prize on 65% of the games he plays. Today, however, he won only 3 of the 8 games he played. This made Joe think that there must be something wrong with how he is throwing the ball today. However, a friend tells him, "You might be throwing the same way you usually do. People will sometimes have a group of bad games just because of random variation, not because of psychology, or because they are doing anything differently, or any other reason. For someone with your statistics, such random bad days wouldn't even be very rare." Let's see what Joe's friend means. Suppose that Joe's skill level really hasn't changed, so he still has a 65% chance of winning each game he plays, like before. If he plays 8 games a day, on what percentage of days will he win 3 games or fewer? Assume that each game is independent of the others. Fill in the blank: Joe would win 3 games or fewer on % of the days that he…A survey found that 58% of American adults said they use the Internet. If 20 American adults are randomly selected, find the exact 12 will say they use the Internet.In a recent article published by Scientific American found that only 82% of Millennials are certain the world is round. That seems low to you, you believe that more than 82% of Millennials believe the world is round. You randomly sample 75 Millennials and find that 68 of them believe the earth is round. The others didn't necessarily believe it is flat they might just be unsure of the earth's shape. Use your choice of Excel or Ti Calculator to complete a one proportion Z-test at 0.01 significance level. If using Excel, copy and Paste the appropriate Excel calculator into the sheet labeled Proportions. Or if using Ti Calculator, type an explanation of the Ti Calculator features you used and include the Z test statistic, and the p-value.
- A multiple choice test has 12 questions each of which has 5 possible answers, only one of which iscorrect. If Judy, who forgot to study for the test, guesses on all questions, what is the probabilitythat she will answer exactly 3 questions correctly?If you have to answer 14 multiple choice questions, with each question having 7 choices, what is the probability of you getting 6 or more correct?The principal of Paul Revere High School bragged that his 2016 graduating class of 1500 students achieved impressive scores on their ACT exams. He announced that an “astounding” 36% of the class got a score of 29 or higher, 54% got a score of 21 to 28, and only 10% less than 21. You want to test whether these ACT results are really that astounding. You visit the ACT website to see that the national results are 34% getting a score over 28, 58% getting 21 to 28, and 8% less than 21. Test whether or not the principal is correct to brag that his proportions were more impressive than the national performance. Use an alpha of 0.05. So I kinda understand the question. I am mostly confused about how to determine the degree of freedom to get the critical value. Like I know the formula is d-C, and C is the number of categories in the word problem, but is there 3? Or am I just totally wrong?
- Sean is the star shortstop for his baseball team. He notices that his team typically scores about half as many runs as he has singles, and that his team is about 10% more likely to win a game for each run scored. How likely is it that the team wins if he has 6 singles? How many singles did Sean hit if the team was 70% likely to win?An Archer hits 25% of his targets at 200 feet. If he takes five shots, what is the probability that he will hit the target is at least 3 of them?Please include your calculationsthe rest were line drives. If Jason's mom only got to see one game during the tournament, what was the Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls, and probability that she saw Jason hit a line drive? Write the probability as a percent. 6. Elizabeth had a spinner that was divided into 8 equal sections and numbered 1-8. If she spins the spinner 56 times, how many times should Elizabeth expect the spinner to stop on the number 4?
- Last semester in a business fraternity, 30% of the members were on the Dean's List and 15% of the members were on academic probation. If being on the Dean's List and being on academic probation are mutually exclusive events, find the percent of members who were neither on the Dean's List nor on academic probation.Among a student group 51% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.At the regional track tournament the top three finishers in each race place themselves into the state competition. If there are 15 runners in a 1600 m run and I am one of them. What are the chances that I could place and get to go to state?