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Homework_Assignment_17

# Homework_Assignment_17 - Homework Assignment 17(1 For an...

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Homework Assignment 17: (1) For an allosaur with 10,000 calories stored at the start of a day: (i) The allosaur uses calories uniformly at a rate of 5,000 per day. If his stored calories reach 0, he dies. (ii) Each day the allosaur eats 1 actuary (10,000 calories) with probability 0.45 and no actuary with probability 0.55. (iii) The allosaur eats only actuaries. (iv) The allosaur can store calories without limit until needed. Find the matrix A in Theorem 1 of the handout, and use it to determine the probability that the allosaur ever has 15,000 or more calories stored. (Ans 0.598) ( An online matrix calculator is available at http://wims.unice.fr/wims/wims.cgi) (2) A coin-flipping games requires the player to repeatedly flip an unbiased coin until the difference between the number of heads tossed and the number of tails tossed is three. Find the matrix N in Theorem 2 of the handout, and use it to determine the expected number of flips before the game ends. (Ans 9) (3)

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Homework_Assignment_17 - Homework Assignment 17(1 For an...

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