exercise:4c9308c0a4: Difference between revisions
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where <math>\theta </math> is unknown. If the median of the distribution equals 250, determine the standard deviation of <math>X</math>. | where <math>\theta </math> is unknown. If the median of the distribution equals 250, determine the standard deviation of <math>X</math>. | ||
< | <ul class="mw-excansopts"> | ||
<li>19</li> | <li>19</li> | ||
<li>250</li> | <li>250</li> | ||
<li>300</li> | <li>300</li> | ||
<li> | <li>361</li> | ||
<li> | <li>366</li> | ||
</ | </ul> | ||
Latest revision as of 19:42, 17 March 2024
The random variable [math]X[/math] has a distribution with the following density function:
[[math]]
f_X(x) = \begin{cases} \theta^{-1} e^{-x/\theta} \,\, x\geq 0 \\
0 \,\, \textrm{otherwise} \end{cases}
[[/math]]
where [math]\theta [/math] is unknown. If the median of the distribution equals 250, determine the standard deviation of [math]X[/math].
- 19
- 250
- 300
- 361
- 366