Question
Question #2: The weights of students in a class are normally distributed with a mean of 75 pounds and a variance of 36 pounds 2
Question #2: The weights of students in a class are normally distributed with a mean of 75 pounds and a variance of 36 pounds 2 . Use this information and the empirical rule to help answer the next 4 questions.
4) The probability that a student weighs more than 81 pounds is, a) 0.5 b) 0.135 c) 0.16 d) 0.84 5) The probability that a student weighs between 57 and 75 pounds is, a) 0.4985 b) 0.5 c) 0.475 d) 0.0015 6) The probability that a student weighs less than 69 pounds is, a) 0.84 b) 0.135 c) 0.0235 d) None of the above. 7) Suppose a person is in the 84th percentile, this means that the person weighs, a) More than 84 pounds. b) More than 81 pounds. c) Less than 81 pounds. d) Less than 69 pounds.
Question #3: A mail order marketing firm sends 20 flyers to potential customers. Historically 25% of all recipients respond to this flyer. Use this information to help answer the next 3 questions.
8) What is the probability that exactly 4 people respond to the flyer? a) 0.1339 b) 0.0039 c) 0.8661 d) None of the above.
9) What is the probability that between 3 and 6 people respond to the flyer? a) 0.5928 b) 0.5 c) 0.5259 d) None of the above. 10) The expected number of responses to the flyer is. a) 15 b) 1.936 c) 6.157 d) 5 e) None of the above.
Question # 5: A class holds a paper airplane fly-off competition. The average distance flown is 20m with a standard deviation of 4m. Use this information to help answer the next 5 questions.
16) What is the probability that an airplane flies more than 21m? a) 0.5987 b) 0.6026 c) 0.4013 d) 0.2313 17) What is the probability that a plane flies exactly 20m? a) 0.5000 b) 0 c) 1 d) None of the above. 18) What is the probability that a plane flies less than 22m? a) 0.6915 b) 0.3085 c) 0.25 d) 1.17 19) What is the probability that a plane flies between 18 and 23m? a)0.7734 b) 0.3085 c) 0.4 d) 0.4649
20) What is the probability that a plane flies more than 20m? a) 0.25 b) 0.30 c) 0.45 d) 0.5
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