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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?
The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve
Explain Bachet Equation?
Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1 . Solution Before solving this equation let's solve clearly unrelated equation. 4x 2 - 3x = 1 ⇒ 4x 2 - 3x -1 = ( 4x + 1) ( x
Consider the following two polynomials in F 17 [x] (a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials. (b) Use the FFT algorithm, by hand, to
As noted, Euler's method is little used in practice, as there are much better ways of solving initial value problems. By better, we mean, "able to achieve a result of the same prec
Intermediate Value Theorem Suppose that f(x) is continuous on [a, b] and allow M be any number among f(a) and f(b). There then exists a number c such that, 1. a 2. f (
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
assignment for appications of derivatives
Calucations of gradients find f Graph some level curve f=const. f=9x^2 = 4y^2
How to calculate costs if you have a computerised payroll package for your large business?
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