Anyone know how I can get this question started?

What does the 'max' function mean?

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- Mar 23rd 2010, 09:59 PMMy Little PonyFind the cumulative and probability density functions
Anyone know how I can get this question started?

What does the 'max' function mean? - Mar 23rd 2010, 11:02 PMmatheagle
max means maximum or largest of the three

$\displaystyle P(Y\le x)=P(X_1\le x, X_2\le x, X_3\le x)$

use independence.....

$\displaystyle =P(X_1\le x)P(X_2\le x)P(X_3\le x)$

now use your distribution function for the exponential. - Mar 23rd 2010, 11:03 PMmr fantastic
- Mar 24th 2010, 10:31 AMMy Little Pony
I got:

(1 - exp(-theta*x))^3 as the cdf and 3*theta*exp(-theta*x)*(1 - exp(-theta*x) as the pdf.

Can someone verify if this is correct?