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1) At a midway game at the state fair, the probability of winning an individual game is advertised to be 30% (p = . 3). Suppose 50 people played the game (assume all 50 outcomes are independent).
a) Determine the probability that exactly 15 of the 50 people win.
b) Determine the probability that between 12 and 14 people win (i.e. at least 12 but no more than 14 win).
c) What is the average number (expected number) of winners?
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Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any
1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.
The m&m factory produces 2,500 packs of plain m&ms each day. Represent the total number of packs of plain m&ms the factory makes each day
PROOF OF VARIOUS LIMIT PROPERTIES In this section we are going to prove several of the fundamental facts and properties about limits which we saw previously. Before proceeding
Power Series and Functions We opened the previous section by saying that we were going to start thinking about applications of series and after that promptly spent the section
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Consider the Solow growth model as given in the lecture notes using the Cobb-Douglas production function Y t = AK 1-α t L α t a) Set up the underlying nonlinear differen
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