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I'm a math/computer science student. I'm here to learn just as much as I am to help others learn.


Dec
17
comment Inverse function of $y=\frac{\ln(x+1)}{\ln x}$
@macydanim: It's not quite that simple. $\exp(\log(x)y) \neq x\exp(y)$. Instead, $\exp(\log(x)y) = x^y$.
Dec
15
comment Precalculus word problem on rocket height
Are you sure you didn't forget a minus sign in $H(t)$? $H(t) = -8t^2 + 32t$ looks like it would be more reasonable.
Dec
15
revised Determine $K$ and find the density functions of the random variables $Z = \max(X,Y)$ and $T = \min(X, Y )$.
minor clarification
Dec
15
answered Determine $K$ and find the density functions of the random variables $Z = \max(X,Y)$ and $T = \min(X, Y )$.
Dec
15
revised Find the smallest possible value of $a_1$.
minor/LaTeX
Dec
15
revised Find the smallest possible value of $a_1$.
improved LaTeX style
Dec
15
revised Find the smallest possible value of $a_1$.
improved LaTeX style
Dec
15
revised Find the smallest possible value of $a_1$.
wording made more correct
Dec
15
revised Find the smallest possible value of $a_1$.
additional explanation
Dec
15
answered Find the smallest possible value of $a_1$.
Dec
12
awarded  Supporter
Dec
11
awarded  Analytical
Dec
11
awarded  Editor
Dec
11
revised Why isn't $\log(-1)=i\pi$?
added 2 characters in body
Dec
11
awarded  Teacher
Dec
11
answered Why isn't $\log(-1)=i\pi$?
Sep
14
comment Finding probability of other child also being a boy
@kabirkukreti: Because the two children are different. This is not necessarily intuitive, so I'll attempt to illustrate my point a similar example. Suppose you flip a fair coin twice. There are four possible (equally likely) outcomes: HH, HT, TT, TH. TH and HT are different because of the order in which the heads and tails appeared. The first coin flip has a 1/2 chance of landing either way, and the second flip, because it is completely independent of the first, also has a 1/2 chance of going either way. While not immediately obvious, this is also the case for the B/G problem.
Sep
14
comment Finding probability of other child also being a boy
@emory: We can assume that each of the two children has a 1/2 chance of being either gender (1/2 chance of being boy, 1/2 chance of being girl). There is a 1/2 chance that the first child is a boy. If the first child is a boy, then there is a 1/2 chance that the second child is either gender. By multiplication rule, this leaves a 1/4 chance for BB and a 1/4 chance for BG (1/2 $\times$ 1/2 = 1/4). Similar logic can be used to yield a 1/4 chance for GB and GG each.
Sep
13
answered Finding probability of other child also being a boy