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How do you calculate negative 3 sigma values?
-3 x -3
In a normal distribution with mu equals 25 and sigma equals 6 what number corresponds to z equals 3?
Z = (x-mu)/sigma or 3 = (x - 25)/6 or 18 = x - 25 or x = 42. So, for Z = 3, x = 42.
Does zero of the Megaman zero series become the zero in Megaman X?
its actually the reverse. In the Megaman X series zero can either be sealed away into a capsule or the series continues as normal. The capsule ending signals the beginning of the megaman Zero series.
Can sigma field be countably infinite?
No. The basic idea of proving why not is this: 1) The underlying space X is at least countably infinite (of course). 2) Use the properties of a sigma field (aka sigma algebra) to find a countable partition of the space, X = disjiont-union( X_i ). 3) Notice that the union(X_i, s in S) is in the sigma algebra for any subset S of natural numbers. 4) Notice that any union(X_i, s in S) is distinct. 5) Conclude, since the set of subsets of natural numbers is uncountable, so too is your sigma algebra.
What amount spent on books has a standardized score equal to 0.5 if the mean amount spent was 300 and the standard deviation is 100?
The formula for Z-Score is: (x-mu)/sigma. We know from the information given that Z=0.5, mu=300 & sigma=100. Solve for x and plug in the values. X=Z*sigma+mu; x=0.5*100+300 or x=350. So, $350 is amount spent on books.
