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## 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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