HW4 - Online EE 131A Homework #4 Due Oct. 27th Read...

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Online EE 131A Homework #4 Fall 2010 Due Oct. 27th K. Yao Read Leon-Garcia (3rd edition), pp. 146-152; 163-180 1. An air defense system consists of n independent radar sets over a given area. Assume each radar has a probability of 0 . 9 of detecting an airplane. The system declares an airplane is present if one or more of the radar detects an airplane. Find the probability the system will declare an airplane if (a) n = 2, (b) n = 4. (Hint: Let X = number of radar sets out of n that detects an airplane. What is the distribution of X ?) (c) How large must n be in order for the system to declare an airplane with a 0 . 999 probability? 2. In 1985 the median income of a family in the U.S. was $27 , 735 (i.e., one-half of the families has less than that income and one-half has more than that income). Among four randomly selected families, find the probability that (a) all four had incomes above $27 , 735, (b) one of the four had an income less than $27 , 735. 3. Of all the toasters produced by a company, 60% are good, 30% are fair, 7% burn the
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HW4 - Online EE 131A Homework #4 Due Oct. 27th Read...

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