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Math 324 Midterm 1
Name:__________________________________
1.
Let A be the event that Whirlen is late to work, and B be the event that Ekedeed is late to work.
Suppose
throughout this problem that
and .
a)
Assuming that Whirlen and Ekedeed act independently,
find the probability that Whirlen is
late OR Ekedeed is on time,
and then find the probability that Whirlen is late GIVEN
that Ekedeed is on time.
(In other words, calculate
and also calculate
assuming
that A and B are independent)
b)
Do the same 2 calculations of part (a),
assuming
instead of the independence.

2.
A fair coin is flipped 4 times.
Define the random variable X to be the length of the longest string of
heads.
For instance HTHT
means X=1 and HTHH means X=2
a)
Find P(X=1).
Similarly, Find P(X=2), P(X=3) and P(X=4).
b)
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This note was uploaded on 10/16/2011 for the course MATH 324 taught by Professor Staff during the Spring '08 term at S.F. State.
 Spring '08
 Staff
 Math, Statistics, Probability

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