Answer the following questions regarding permutations and combinations. a. What is a permutation? b. What is...

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Answer the following questions regarding permutations and combinations. a. What is a permutation? b. What is a combination? c. What is the major distinction between the two? a. Choose the correct answer below. O A. A permutation of r objects from a collection of m objects is any unordered arrangement of r of the m objects. OB. A permutation of r objects from a collection of m objects is any ordered arrangement of r of the m objects. OC. A permutation is the product of the first k positive integers (counting numbers) and is denoted k!. OD. A permutation, NPn, is the number of possible samples of size n from a population of size N. b. Choose the correct answer below. O A. A combination, NC, is the number of possible samples of size n from a population of size N. O B. A combination of a counting number is obtained by successively multiplying it by the next smaller counting number until reaching 1. OC. A combination of r objects from a collection of m objects is any unordered arrangement of r of the m objects. OD. A combination of r objects from a collection of m objects is any ordered arrangement of r of the m objects. c. Choose the correct answer below. O A. Order matters in combinations but not in permutations. B. Order matters in permutations but not in combinations. C. More combinations of r objects from a collection of m objects can be made than permutations. D. Permutations can only be used when r is greater than 10. When one die is rolled, the following six outcomes are possible. ☐ ☐ List the outcomes constituting A = event the die comes up odd, B = event the die comes up 4 or more, C = event the die comes up at most 3, D = event the die comes up 3. What outcomes constitute event A? П (Use a comma to separate answers as needed. Use ascending order.) What outcomes constitute event B? (Use a comma to separate answers as needed. Use ascending order.) What outcomes constitute event C? □ (Use a comma to separate answers as needed. Use ascending order.) What outcomes constitute event D? (Use a comma to separate answers as needed. Use ascending order.) A frequency distribution for an election in a certain country is given in the accompanying table. Complete parts (a) through (c) below. a. Find the probability that a randomly selected voter voted for Candidate 1. The probability that a randomly selected voter voted for Candidate 1 is. (Type an integer or a decimal. Round to three decimal places as needed.) b. Find the probability that a randomly selected voter voted for either Candidate 4 or Candidate 5. The probability that a randomly selected voter voted for either Candidate 4 or Candidate 5 is (Type an integer or a decimal. Round to three decimal places as needed.) c. Find the probability that a randomly selected voter voted for someone other than Candidate 4. The probability that a randomly selected voter voted for someone other than Candidate 4 is (Type an integer or a decimal. Round to three decimal places as needed.) Candidate Candidate 1 Candidate 2 Candidate 3 Candidate 4 Candidate 5 Votes 47,418,466 13,040,941 5,285,621 4,234,685 2,068,776 모 Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 6.97 mm and a standard deviation of 0.67 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 8.7 mm and 5.2 mm. Round your answers to two decimal places. a. Find the standardized version of x. Z= (Do not simplify. Use integers or decimals for any numbers in the expression. Do not round.) b. Determine and interpret the z-scores for thumb lengths of 8.7 mm and 5.2 mm. Round your answers to two decimal places. Determine and interpret the z-score for a thumb length of 8.7 mm. The z-score for a thumb length of 8.7 is. This is standard deviations (Round to two decimal places as needed.) Determine and interpret the z-score for a thumb length of 5.2 mm. The Z-score for a thumb length of 5.2 is (Round to two decimal places as needed.) This is standard deviations the mean thumb length. the mean thumb length. Answer the following questions regarding permutations and combinations. a. What is a permutation? b. What is a combination? c. What is the major distinction between the two? a. Choose the correct answer below. O A. A permutation of r objects from a collection of m objects is any unordered arrangement of r of the m objects. OB. A permutation of r objects from a collection of m objects is any ordered arrangement of r of the m objects. OC. A permutation is the product of the first k positive integers (counting numbers) and is denoted k!. OD. A permutation, NPn, is the number of possible samples of size n from a population of size N. b. Choose the correct answer below. O A. A combination, NC, is the number of possible samples of size n from a population of size N. O B. A combination of a counting number is obtained by successively multiplying it by the next smaller counting number until reaching 1. OC. A combination of r objects from a collection of m objects is any unordered arrangement of r of the m objects. OD. A combination of r objects from a collection of m objects is any ordered arrangement of r of the m objects. c. Choose the correct answer below. O A. Order matters in combinations but not in permutations. B. Order matters in permutations but not in combinations. C. More combinations of r objects from a collection of m objects can be made than permutations. D. Permutations can only be used when r is greater than 10. When one die is rolled, the following six outcomes are possible. ☐ ☐ List the outcomes constituting A = event the die comes up odd, B = event the die comes up 4 or more, C = event the die comes up at most 3, D = event the die comes up 3. What outcomes constitute event A? П (Use a comma to separate answers as needed. Use ascending order.) What outcomes constitute event B? (Use a comma to separate answers as needed. Use ascending order.) What outcomes constitute event C? □ (Use a comma to separate answers as needed. Use ascending order.) What outcomes constitute event D? (Use a comma to separate answers as needed. Use ascending order.) A frequency distribution for an election in a certain country is given in the accompanying table. Complete parts (a) through (c) below. a. Find the probability that a randomly selected voter voted for Candidate 1. The probability that a randomly selected voter voted for Candidate 1 is. (Type an integer or a decimal. Round to three decimal places as needed.) b. Find the probability that a randomly selected voter voted for either Candidate 4 or Candidate 5. The probability that a randomly selected voter voted for either Candidate 4 or Candidate 5 is (Type an integer or a decimal. Round to three decimal places as needed.) c. Find the probability that a randomly selected voter voted for someone other than Candidate 4. The probability that a randomly selected voter voted for someone other than Candidate 4 is (Type an integer or a decimal. Round to three decimal places as needed.) Candidate Candidate 1 Candidate 2 Candidate 3 Candidate 4 Candidate 5 Votes 47,418,466 13,040,941 5,285,621 4,234,685 2,068,776 모 Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 6.97 mm and a standard deviation of 0.67 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 8.7 mm and 5.2 mm. Round your answers to two decimal places. a. Find the standardized version of x. Z= (Do not simplify. Use integers or decimals for any numbers in the expression. Do not round.) b. Determine and interpret the z-scores for thumb lengths of 8.7 mm and 5.2 mm. Round your answers to two decimal places. Determine and interpret the z-score for a thumb length of 8.7 mm. The z-score for a thumb length of 8.7 is. This is standard deviations (Round to two decimal places as needed.) Determine and interpret the z-score for a thumb length of 5.2 mm. The Z-score for a thumb length of 5.2 is (Round to two decimal places as needed.) This is standard deviations the mean thumb length. the mean thumb length.

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a A perm utation is a way of arranging a set of objects in a particular order where the order matters A perm utation of r objects from a collection of ... View the full answer