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)
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Staff
 Math, Statistics, Probability, Standard Deviation, Probability theory, stats class, Whirlen

Click to edit the document details