Past Exam for STAT 100 - ELEM STAT & PROB at Maryland (UMD)

Exam Information

 Material Type: Exam 2 Professor: Staff Class: STAT 100 - ELEM STAT & PROB Subject: Statistics and Probability University: University of Maryland Term: Spring 2003 Keywords: CombinationsDistributionCalculatorsExpected ValuesIndependenceDevelopmentApproximationProbabilitiesStandard DeviationExpectation

Sample Document Text

Stat 100 Exam 2 A Spring 2003 Calculators allowed. All work must be shown to receive full credit. 1. Let the random variable X denote the proportion of times a head occurs in 3 tosses of a coin (ie, X = number ofheads/3) a) (10 pts) Determine the probability distribution of X. b) (10 pts) Determine the expectation, variance, and standard deviation of X. 2. 60% of all people in a community favor the development of a mass transit rail system. 12 citizens from the community are selected. a) (5 pts) What is the probability that at least 6 favor development of the mass transit rail system? b) (5 pts) What is the probability that 8 do not favor development of the mass transit rail system? c) (5 pts) What is the probability that fewer than 9, but more than 4 favor development of the mass transit rail system? d) (5 pts) Calculate the mean and standard deviation of X = number that favor development. 3. The meat department at a certain supermarket chain prepares" 1 pound" packages of g...

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