Recent content by penguinnnnnx5

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    Binomial Central Limit Theorem

    Oh I didn't read that as closely as I should have... my apologies. Things are starting to come together now that I've read the problem a few more times. I mistook "Winning after 34 bets" to be "winning consecutively 34 times". I would say that ##35(W) > 1(N-W)## in order to be winning, where N...
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    Help with use of Chebyshev's inequality and sample size

    This would make c the mean, yes? Because it is the expected value/ the value you expect to be correct. Would that make ##U_n## the variance then? But if so, how will we find the variance if ##U_n## is not given? We only know that ##Var(U_n) = 3## But given what I know now, would this mean...
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    Help with use of Chebyshev's inequality and sample size

    I would say that the average ##\bar{M}## ##=## (##n c## + ##U_1, U_2, \ldots, U_n##) / ##n## since you are finding ##c## ##n## times and adding that to all the ##U_i## from each sample. Then to average it, you'd need to divide it by ##n## of course. If it is half a degree of ##c##, would that...
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    Binomial Central Limit Theorem

    In terms of W, what do you mean when you say you are winning? To me, it seems that the problem is stating that the player is winning for N amount of times over and over, where N is the number of consecutive bets the player makes.
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    Binomial Central Limit Theorem

    Homework Statement Here are the problems: A roulette wheel has 38 slots, numbered 0, 00, and 1 through 36. If you bet 1 on a specified number, you either win 35 if the roulette ball lands on that number or lose 1 if it does not. If you continually make such bets, approximate the...
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    Help with use of Chebyshev's inequality and sample size

    Homework Statement Homework Equations P (|Y - μ| < kσ) ≥ 1 - Var(Y)/(k2σ2) = 1 - 1/k2 ?? The Attempt at a Solution using the equation above 1 - 1/k2 = .9 .1 = 1/k2 k2 = 10 k = √10 = 3.162 k = number of standard deviations. After this I don't know where to go...
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    The use of min and max in statistics

    Homework Statement These are taken from my class's lecture slides. I'm trying to understand the entire thought process and reasoning, so I'm just wondering what min and max mean in the g(x) function examples. Here is the first example: http://gyazo.com/7f9d707df0c8512bfa91a1f200dc3429.png...
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    Check if I did this problem correctly please

    Homework Statement Check that the point (-1,1,2) lies on the given surface. Then find a vector normal to the surface and an equation for the tangent plane to the surface at (-1,1,2). z=x2 + y2 Homework Equations The Attempt at a Solution (2) = (-1)2 + (1)2 2 = 2; (-1, 1...
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    FM Radio receiver in RLC circuit with .200 microH Inductor

    Thank you for your help! I figured it out last night. Stupid mistake on my part; I should've realized that XL =/= XC when the frequency changes. Anyway, here is the correct method: L = .200 μH C = 11.64 pF ≈ 11.6 pF (This can actually give you an entirely different answer) R = Some resistance...
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    FM Radio receiver in RLC circuit with .200 microH Inductor

    Z = √(R2 + (XL-XC)2) XC,1 = 1/ (2π(104.3*106) (11.64 * 10-12)) = 131.094 Ω XL,1 = 2π (104.3*106)(.2*10-6) = 131.067 Ω XC,2 = 1/ (2π(103.9*106) (11.64 * 10-12)) = 131.599 Ω XL,2 = 2π (103.9*106)(.2*10-6) = 130.565 Ω I would think that XC,n = XL,n and the only reason why they're not equal...
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    FM Radio receiver in RLC circuit with .200 microH Inductor

    Homework Statement The tuning circuit in an FM radio receiver is a series RLC circuit with a 0.200 µH inductor a. The receiver is tuned to a station at 104.3 MHz. What is the value of the capacitor int he tuning circuit? b. FM radio stations are assigned frequencies every 0.2 MHz, but two...
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    Four very long, current carrying wires in the same plane

    Homework Statement Four very long, current-carrying wires in the same plane intersect to form a square with side lengths of 31.0 cm, as shown in the figure (Figure 1) . The currents running through the wires are 8.0 A, 20.0 A, 10.0 A, and I. Find the magnitude of the current that will make...
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    Find distance electron travels before turning around

    Yes I have! Like you said, since q is negative, the (1/R-1/x) becomes (1/x-1/R) instead. So, PEf - PEi = 1/2 mv2 2kQq(1/R-1/x) = 1/2 mv2 -2kQ2(1/R-1/x) = 1/2 mv2 Since q = -Q 2kQ2(1/x-1/R) = 1/2 mv2 1/x - 1/R = (mv2)/(4kQ2) (R-x)/xR = (mv2)/(4kQ2) xR/(R-x) = (4kQ2)/(mv2)...
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    Find distance electron travels before turning around

    That was my greatest error, as ehild also pointed out. Thank you for your time and effort in helping me understand this problem!
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    Find distance electron travels before turning around

    Thank you. As you see above, I found the correct answer. "x" was not set as the vertical displacement, however. Instead, I set "x" as half of the length of the line connecting the two protons and "D" as the distance from the midpoint of the referred line. I also now see why it is (1/x - 1/R)...
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