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- Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1-point 12 Expected 9.83 9.17 x² = 2.097, DF = 2, P-value = 0.350 %3D Assume that all conditions for inference were met. At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test? Choose 1 answer: This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren.A farmer growsThere are 150 members of the senior class. You survey 25 members of the class randomly and 22 say they are going to attend the dance. How many seniors are likely to be at the dance?
- 30% of students take Physics 101 and 20% take Math146. Of the students who take Physics 101, 25% also take Math146. If a student is chosen at random find P( student takes Physics101 and Math146) O a. 0.3 O b. 0.2 O c. 0.25 O d. 0.83 One 0.075Inside a bag there are 3 green balls, 2 red balls and 4 yellow balls. Two balls are randomly drawn without replacement. Calculate the probability of drawing one red ball and one green ball. The tree diagram has been started.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, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------ marbles in the bag were red.
- Kaolin is taking a multiple choice math test. Each question has seven presented answers, but only one is correct. If Kaolin guesses randomly for each of the nineteen questions the test has, determine the probability that Kaolin gets at most one question correct. A. 618719 B. 25719 C. (190) +(191)719 D 61825719 E. (61)(191)719An experiment consists of drawing two numbers out of a hat one after the other containing the numbers 1, 3, 5, 6. The two numbers are then recorded as a 2-digit number. The number drawn is NOT put back in the hat before drawing the second. Do the following: List the sample space.________________________________ Let F = the event of getting a number whose first digit is odd Let S = the event of getting a multiple of 6 Find P( F and S) =____________________________________ Find P(F) =______________________________ Find P(F|S) =_______________________________________ Are F and S independent events? ___________Justify_____________ VIII (15) Let E be the event that at least two people out of 4 have the same birth month (not day). How many outcomes in the Sample space. In other words, compute n(S).________ State in words the complement of E. _____________________________ How many outcomes in the event not E. In other words, compute n(not E). ________…Inside a bag there are 5 green balls, 3 red balls and 2 yellow balls. Two balls are randomly drawn without replacement. Calculate the probability of drawing one green ball and one red ball. The tree diagram has been started.
- Use the sample space shown in the figure to find the probability for the experiment of rolling a pair of dice. (Enter the probability as a fraction.) P(four or six) Enter a fraction, integer, or exact decimal. Do not approximate. THE 36 WAYS DICE CAN ROLL 自a. T:3 3 E目 Otto van EerselPlease solve and show complete solution. Thank you!