THE UNIVERSITY OF TEXAS AT AUSTIN
Department of Electrical and Computer Engineering
EE 351K • Probability and Random Processes • Fall 2007
Assignment No. 7;
Due Thursday, October 18, 2007
Please include the following information on the first page of each assignment:
(1) Your
name
(printed legibly), (2) Course number
EE 351K
, (3)
Assignment Number
, and (4)
Due Date
.
Thank you.
Problem (1)
Consider a biased coin where the probability of heads is 0.6 and the probability of tails is 0.4.
If you toss the coin 5 times (independent tosses):
What is the probability of:
(a)
getting exactly 3 heads?
(b)
getting exactly 2 tails?
(c)
getting between 1 and 3 heads ( inclusive)?
(d)
getting at least one tail?
(e)
getting less than 3 heads?
Problem (2)
Consider a baseball player named Ted whose batting average is 0.400, meaning the probability
of getting a hit the next time at bat is 0.400.
Consider the next 10 times Ted will be at bat, and answer the following questions:

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