# Tag Info

Accepted

Accepted

### Number of vowels in the first 5 letters of a random arrangement

I think I'll go for this, given I had a helpful comment first up. I'll call Elizabeth Taylor as Liz Taylor or Liz below, I hope she does not mind. Our idea is to think about the individual components ...
Accepted

### If a value lies at EXACTLY two standard deviations from the mean, is it "usual data" or "unusual data"?

I have a feeling that this question solely depends on your definition, and there's no underlying mathematical principle that would tell you a definite answer. Just consult your textbook on the ...
Accepted

### Show $\mu \ge x (1 - F(x))$ for $x \in [0,1]$

$\mu=\int_0^{1} tdF(t) \geq \int_x^{1} tdF(t) \geq \int_x^{1} xdF(t)=x\int_x^{1}dF(t)=x(1-F(x)$.
Accepted

1 vote

### Related to order statistics?

Lack of independence makes this too complicated. Independent but not identically distributed is still possible to analyse: The CDF of the minimum is F_{Z_{(1)}}(x) = 1- \prod\limits_i (1-F_{Z_i}(z))...
1 vote
Accepted

### why selecting objects one by one without replacement and selecting objects at the same time give same probability?

Suppose I shuffle a deck of cards and deal you 5 cards, but you were looking away at the time and didn't see whether I took all 5 off the top at once or dealt 5 individually. Could this have possibly ...
1 vote
Accepted

### Name for half life where X axis is not time

It is called the "decay constant."

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