A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example. v Yes or No for each registered voter v The list of Yes and No answers that were given by the 1000 participants in the study v The proportion of registered voters who will vote Yes on the measure - v|The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure - v All registered voters in the US - |The 1000 registered voters who participated in the study a. Population b. Statistic c. Parameter d. Data e. Sample f. VariableA biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques. The biologist goes to his 150 favorite hiking places and looks at an acres along each trail. - |The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations. - |The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list. - v|The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population. - |The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres. a. Stratified Sampling b. Systematic Sampling c. Cluster Sampling d. Simple Random Sampling e. Convenience SamplingThe list below shows the ages (in years) of 10 people riding in a van to a math competition. Calculate the mean age of the people in the van. Round your answer to the nearest tenth of a year. ages 14 12 14 14 9 10 13 14 15 49 Mean = years (Please round your answer to the nearest tenth.) Median = years (Please enter an exact answer.)In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither (events cannot be both disjoint and independent). a) You and a randomly selected student from your class both earn A's in this course. O Mutually Exclusive O Neither O Independent b) You and your class partner both earn A's in this course. O Independent O Neither O Mutually Exclusive c) If two events can occur at the same time, they must be independent. O False O True\fAccording to Masterfoods, the company that manufactures MOM's, 12% of peanut MOM's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round your answers to 4 decimal places where possible) a. Compute the probability that a randomly selected peanut MOM is not brown. b. Compute the probability that a randomly selected peanut MOM is red or green. c. Compute the probability that three randomly selected peanut MOM's are all orange. d. If you randomly select two peanut MOM's, compute that probability that neither of them are blue. e. If you randomly select two peanut MOM's, compute that probability that at least one of them is blue.A dice is rolled 2 times. What is the probability of showing a 6 on ever}.r roll? C] {Round to 4 decimal places} Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $10. If you roll a 2, 3, 4 or 5, you win $5. Otherwise, you pay $6. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the expected value. If you play many games you will likely win on average very close to $4.00 per game. O This is the most likely amount of money you will win. O You will win this much if you play a game. d. Based on the expected value, should you play this game? O No, this is a gambling game and it is always a bad idea to gamble. O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $10.00 which is greater than the $6.00 that you can lose. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost.61% of all Americans are home owners. If 42 Americans are randomly selected, find the probability that Exactly 25 of them are are home owners.Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of O'C and a standard deviation of 1.00*C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -3.079.C. P(Z > - 3.079) (Give your answer to three decimal places.)In 2011 the U.S. Department of Transportation reported with 95% confidence that the average length of a motor vehicle trip in the United States was 9.72 miles with a margin or error of 0.22 miles. With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between and miles. The level of confidence for this estimate is