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- We now need to attempt to find an exact value for n such that P(r ≥ 1) = 0.99. Clearly, if the bank has any chance of detecting a burglar they will need to have at least one alarm installed. So, we know that, minimally, n must be at least 1.Since n must be at least 1, suppose we start by trying n = 2, where there will be two alarms. When there are two alarms, r ≥ 1 means either one or both alarms could detect the burglar. If neither alarm detects the burglar it is considered a failure. Therefore, P(r ≥ 1) can be calculated using either of the following formulas. P(r ≥ 1) = P(1) + P(2) P(r ≥ 1) = 1 − P ( ___ ) fill in the blankWe want to find the number of ways in which 3r balls can be selected from 2r red ballsand 2r blue balls. Find the generating function corresponding to the above problem in closed form.if we had some f(z)= an infinite sum of z^n how would we solve this?
- max z = x1 + 3x2 s.t. x1 + 2x2 ≥ 6 2x1 + x2 ≤ 8 x1, x2 ≥ 0 For the LP above, which of the following is its standard form? max z = x1 + 3x2 s.t. x1 + 2x2 + s1 = 6 2x1 + x2 + s2 = 8 x1, x2, s1, s2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 – e1 = 6 2x1 + x2 – e2 = 8 x1, x2, e1, e2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 + s1 = 6 2x1 + x2 – e2 = 8 x1, x2, s1, e2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 – e1 = 6 2x1 + x2 + s2 = 8 x1, x2, e1, s2 ≥ 04. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1