A biology professor has two graduate assistants help-ing her with her research. The probability that the older of the two assistants will be absent on any given day is0.08, the probability that the younger of the two will beabsent on any given day is 0.05, and the probability thatthey will both be absent on any given day is 0.02. Find theprobabilities that(a) either or both of the graduate assistants will be absenton any given day;(b) at least one of the two graduate assistants will not beabsent on any given day;(c) only one of the two graduate assistants will be absenton any given day.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A biology professor has two graduate assistants help-
ing her with her research. The probability that the older
of the two assistants will be absent on any given day is
0.08, the probability that the younger of the two will be
absent on any given day is 0.05, and the probability that
they will both be absent on any given day is 0.02. Find the
probabilities that
(a) either or both of the graduate assistants will be absent
on any given day;
(b) at least one of the two graduate assistants will not be
absent on any given day;
(c) only one of the two graduate assistants will be absent
on any given day.
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