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IF THE VARIANCE FROM A DATA SET IS ZERO, THEN ALL

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Author: Christine Farr
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http://theperfecthomework.com/if-the-variance-from-a-data-set-is-zero-then-all-the-observations-in-this-data-set-must-be-identical/

1. True or False. Justify for full credit.
(a) If the variance from a data set is zero, then all the observations in this data set must
be identical.
(b) P(A AND A^c ) 1, whereA is the complement of A.
(c) The mean is always equal to the median for a normal distribution.
(d) A 99% confidence interval is wider than a 95% confidence interval of the same
parameter.

There are 1000 juniors in a college. Among the 1000 juniors, 200 students are in the
STAT200 roster, and 100 students are in the PSYC300 roster. There are 80 students taking
both courses.
12. What is the probability that a randomly selected junior is taking at least one of these two
courses? (10 pts)
13. What is the probability that a randomly selected junior is taking PSYC300, given that
he/she is taking STAT200? (10 pts)

(more)
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