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Recitation6Solutions

# Recitation6Solutions - Steven Weber Dept of ECE Drexel...

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Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2008) Recitation 6 Solutions (Friday, May 9) Answer one of the following two questions. Cross out the question you do not want graded. Question 1. A small fishing boat catches 25 fish on a given day. Each fish is of one of two types: sparkly or plain. A fish is sparkly with probability of 20% , or plain with probability 80% . Please do the following: 1. Using the tables, compute the probability that the number of sparkly fish, X , caught by the fishing boat is between 3 and 7, i.e., P (3 X 7) . X Bin(25 , 0 . 2) , P (3 X 7) = P ( X 7) - P ( X 3) = B (7 , 25 , 0 . 2) - B (3 , 25 , 0 . 2) = 0 . 891 - 0 . 234 = 0 . 657 (1) 2. Give the mean and variance for the number of sparkly fish caught by the fishing boat. E [ X ] = np = 25 × 0 . 20 = 5 , Var( X ) = np (1 - p ) = 25 × 0 . 2 × 0 . 8 = 4 . (2) 3. Sparkly fish sell for \$100 while plain fish sell for \$1 . Define the rv Y to be the total sale value of the catch in terms of the rv X , the number of sparkly fish.

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Recitation6Solutions - Steven Weber Dept of ECE Drexel...

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