THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer EngineeringEE 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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