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visits member for 1 year, 11 months
seen May 17 at 21:00
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May
15
awarded  Caucus
Feb
24
comment Given $x(t) = u(t)$ and $h(t) = \cos(\pi t)u(t)$, how do we find the response $y(t)$?
I don't see why the integral isn't $\int_{0}^{\infty}cos(\pi\tau)u(\tau)u(t-\tau)d\tau$.
Nov
7
answered Poisson Distribution for Consecutive Figures
Nov
6
comment Creating a recommender system for shoe sizing
You may get better responses on Cross Validated.
Nov
2
comment Solve Ax = b where b are labels instead of values
@locke14 I misunderstood the question. My response was for $A$ having these entries, not $b$.
Nov
2
comment Solve Ax = b where b are labels instead of values
Usually with categorical variables, one category is chosen as a baseline and all others are assigned their own indicator variable in the regression. For example, if the original variable represents weight and the categories are "low", "medium" and "high", we may choose "medium" as the baseline and create two other variables named "isLow" and "isHigh". If a person has "medium" weight, isLow and isHigh will both be zero. If a person has "low" weight, isLow will be one and isHigh will be zero. If a person has "high" weight, isLow will be zero and isHigh will be one.
Oct
30
comment Process for $(k+1)^3$?
@wj32 Ah. That makes sense.
Oct
30
comment Process for $(k+1)^3$?
You don't mention the binomial theorem anywhere in your question.
Oct
30
comment Process for $(k+1)^3$?
Look into the binomial theorem.
Oct
28
comment Puzzle on Ranks
The computation is correct. This is a good way of thinking about the problem though.
Oct
26
accepted Help Needed: Partial Derivative Identity/Chain Rule
Oct
26
comment Formulas for the multivariate Gaussian function?
If you convert the density function to use the actual elements of $x$ and $\Sigma$ rather than the matrix equivalents, taking derivatives will become more clear.
Oct
17
comment Calculating Variance of a binomial distribution using the standard formula $E(X^2) - \mu^2$
Yes, that is correct.
Oct
17
revised Calculating Variance of a binomial distribution using the standard formula $E(X^2) - \mu^2$
added 186 characters in body
Oct
17
answered Calculating Variance of a binomial distribution using the standard formula $E(X^2) - \mu^2$
Oct
17
comment Calculating Variance of a binomial distribution using the standard formula $E(X^2) - \mu^2$
I think you mean $Var(X)=E(X^2)-\mu^2$.
Oct
15
comment Approximate probability mass function into normal distribution
The normal distribution is characterized by its two parameters: its mean and variance. Find the mean and variance of your data ($\bar{x}$ and $s_x^2$, respectively) and plug those in to the normal density function.
Oct
14
comment Matrix times its transpose equals original matrix
In the case of a symmetric matrix, this property is called idempotence.
Oct
9
comment Let $P(X=1)=0.6$ and $P(X=1,Y>=5)=0.2$. Find $P(X=1,Y<5)$.
You're using conditional probabilities without proper notation. $P(Y\geq5|X=1)=P(X=1,Y\geq5)/P(X=1)=1/3$ and $P(Y<5|X=1)=1-P(Y\geq5|X=1)=2/3$. Then $P(X=1,Y<5)=P(Y<5|X=1)P(X=1)=2/3\times3/5=2/5$.
Oct
3
comment Find out the cdf, pdf, but failing with combinatorics?
Think about drawing blocks from a bag without replacement. For the first pattern (red, green x 4, red), how many ways can you pull a red block first? Now you've gotten rid of a red, so how many ways can you pull a green block second? Then keep going. The probability of any individual pattern will be the ratio of the number of ways for that pattern to occur to the total number of ways for any pattern to occur. Also, think about why the cases above are not the only ones that can occur. (Hint: Why must a red block come first?)