exercise:C208909a1a: Difference between revisions
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<li><math>2a + b = 6 </math></li> | <li><math>2a + b = 6 </math></li> | ||
<li><math>2a + b = 6 </math> and both <math>a </math> and <math>b</math> must be non-negative</li> | <li><math>2a + b = 6 </math> and both <math>a </math> and <math>b</math> must be non-negative</li> | ||
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<li>For all non-negative <math>a</math> and <math>b</math></li> | <li>For all non-negative <math>a</math> and <math>b</math></li> | ||
<li>There are no values <math>a</math> and <math>b</math> that give a valid joint density</li> | <li>There are no values <math>a</math> and <math>b</math> that give a valid joint density</li> | ||
</ | </ul> | ||
Latest revision as of 18:43, 18 March 2024
For what values of [math]a[/math] and [math]b[/math] is the function [math]f(x,y)[/math] given below a valid joint density function?
[[math]]
f(x,y) = \begin{cases}
ax + by, \quad 0 \leq x \leq y \leq 1 \\
0 \quad \textrm{otherwise}
\end{cases}
[[/math]]
- [math]2a + b = 6 [/math]
- [math]2a + b = 6 [/math] and both [math]a [/math] and [math]b[/math] must be non-negative
- [math]a + b = 2 [/math] and both [math]a [/math] and [math]b[/math] must be non-negative
- For all non-negative [math]a[/math] and [math]b[/math]
- There are no values [math]a[/math] and [math]b[/math] that give a valid joint density