Matt Damon is trapped on Mars. Every month, he plants potato crops to grow food. Due to genetic variability, every crop planted is either of gene type A or B, and every month there is a 90% chance of the crop being type A and 10% chance of being B. Crops yield a Poisson distributed number of potatoes with mean 15 for type A, and 10 for type B.
(a) Find the expected number of potatoes grown in any given month.
(b) Find the pmf for T, the potato yield for a given month.
(c) Mr. Damon won’t survive the month if 7 or fewer potatoes are grown, find the proba-
bility of this unfortunate event. Give a decimal approximation of your answer.
(d) If M is the month number on which the hero starves, find the distribution of M and its expected value. State your assumptions.
Subject | Mathematics |
Due By (Pacific Time) | 11/12/2015 10:00 am |
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