Dorian tossed a pair of number cubes numbered 1 through 6 a total of 10 times. Below are the sums of the numbers on his cubes for each of the tosses. 5, 9, 11, 6, 5, 8, 11, 3, 12, 6 Drag numbers to identify the statistical measures. Numbers may be used once or not at all. 5 7 11 12 3 4 6 2 8 9 10A number cube with faces labeled from 1 to 0 will be rolled once. The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an even number If there is more than one element in the set, separate them with commas, Sample space: Event of rolling an even number;A box has four cards numbered 1, 2, 3, and 4. Melissa will toss a coin once and record the toss as heads (A) or tails (7). Then she will randomly pick a card from the box and record the number chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the coin toss is tails. Use the format # 1 to mean that the coin toss is heads and the number chosen is 1. If there is more than one element in the set, separate them with commas. Sample space: Event that the coin toss is tails: XA coin will be tossed twice, and each toss will be recorded as heads (H) or tails (7). Give the sample space describing all possible outcomes, Then give all of the outcomes for the event that the second toss is heads. Use the format #7 to mean that the first toss is heads and the second is tails. If there is more than one element in the set, separate them with commas, Sample space: Event that the second toss is heads: XThe state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits O through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 1000 trials and got the following results. Outcome 2 5 6 8 9 Number of Trials 95 198 113 99 95 98 101 97 101 103 Fill in the table below. Round your answers to the nearest thousandth. (a) From these results, compute the experimental probability of getting an even number. (b) Assuming that the machine is fair, compute the theoretical probability of getting an even number. (c) Assuming that the machine is fair, choose the statement below that is true: The larger the number of trials, the greater the likelihood that the experimental O probability will be close to the theoretical probability. The experimental probability will never be very close to the theoretical probability, no O matter the number of trials. The smaller the number of trials, the greater the likelihood that the experimental O probability will be close to the theoretical probability.The spinner below shows 10 equally sized slices. Linda spun the dial 23 times and got the following results. Outcome Grey White Black Number of Spins 15 6 4 Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on white or grey. (b) From Linda's results, compute the experimental probability of landing on white or grey- (c) Assuming that the spinner is fair, choose the statement below that is true: O With a large number of spins, there might be a difference between the experimental and theoretical probabilities, but the difference should be small. With a large number of spins, there must be no difference between the experimental O and theoretical probabilities. O With a large number of spins, there must be a large difference between the experimental and theoretical probabilities.A coin will be tossed three times, and each toss will be recorded as heads (A) or tails (7). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the second toss is heads. Use the format /4: to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas, Sample space: 00 Event that the second toss is heads: X 5 ?Use the drop-down menus to identify whether the mean, median, mode, and range are always, sometimes, or never one of the data values in a data set. The mean is Choose... v one of the data values. Choose... The median i always one of the data values. never The mode is sometimes one of the data values. The range is Choose... one of the data values