Consider the continous random variable, X, with pdf f(x) = kx^3, 2<x<4
Calculate k
Consider the continous random variable, X, with pdf ?
2012-02-22 2:24 pm
回答 (3)
2012-02-22 2:31 pm
✔ 最佳答案
We have : ∫ [-∞,∞] ƒ(x) dx = 1∴∫ [2,4] ( k x³ ) dx = 1
∴ k [ ( x⁴ ) / 4 ] on [2,4] is = 1
∴ (k/4) [ 4⁴ - 2⁴ ] = 1
∴ (k/4) [ 256 - 16 ] = 1
∴ (k/4)(240) = 1
∴ k(60) = 1
∴ k = 1/(60) ............................. Ans.
_____________________
2016-12-09 11:37 pm
incredibly basic, only set the section under the curve to a million and remedy for ok: ok ? e? dx = e? – e° = e? – a million = a million (we set equivalent to a million) 0 for that reason e? = 2 and take ln of the two factors and get ok = ln 2
2012-02-22 2:31 pm
If you integrate f(x)dx from x=2 to x=4 you should get 1
and this will give k.. You should get 1/60.
and this will give k.. You should get 1/60.
收錄日期: 2021-05-01 00:54:08
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120222062440AAxsHH6