Considering two non-zero probability events A and B of a sample space Ω , is the
statement “If A and B are mutually exclusive events, then A and B are independent.”
true? Why? (8%)
If we want to determine the average mathematical score of a large group of students,
how large a random sample would we need to be able to assert with a probability of
0.95 that the sample mean will be within 3 points of the true mean? Assume that it is
known from past experience with similar data that σ = 12 . (8%)
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