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Stat 100
Exam 2 B
Spring 2003
Calculators allowed. All work mllst be shown 10 receive full credit.
1. Let the random variable X denote the number of tails minus the number of heads in 3 tosses
ofa coin.
a) (10 pts) Determine the probability distribution of X.
b) (10 pts) Determine the expectation, variance, and standard deviation of X.
2. 80% of all freshman at a certain university live on campus. 11 freshmen are selected at
random.
a) (5 pts) What is the probability that at least 8 live on campus?
b) (5 pts) What is the probability that 5 do not live on campus?
c) (5 pts) Of those selected, what is the probability that more than 5 and fewer than 10 live on
campus?
d) (5 pts) Calculate the mean and standard deviation of X = number that live on campus.
3. The diameters of Douglas firs grown at a Christmas tree farm are normally distributed with
a mean of 4.5 inches and a standard deviation of].5 inches.
a) (10 pts) What is the probability that a randomly selected tree has a di...

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