exercise:96a5f98207: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Suppose you choose a real number <math>X</math> from the interval <math>[2,10]</math> with a density function of the form <math display="block"> f(x) = Cx\ , </math> where <math>C</math> is a constant. <ul><li> Find <math>C</math>. </li> <li> Fin...") |
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</math> | </math> | ||
where <math>C</math> is a constant. | where <math>C</math> is a constant. | ||
<ul><li> Find <math>C</math>. | <ul style="list-style-type:lower-alpha"><li> Find <math>C</math>. | ||
</li> | </li> | ||
<li> Find <math>P(E)</math>, where <math>E = [a,b]</math> is a subinterval of <math>[2,10]</math>. | <li> Find <math>P(E)</math>, where <math>E = [a,b]</math> is a subinterval of <math>[2,10]</math>. | ||
Latest revision as of 22:34, 12 June 2024
[math]
\newcommand{\NA}{{\rm NA}}
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}[/math]
Suppose you choose a real number [math]X[/math] from the interval
[math][2,10][/math] with a density function of the form
[[math]]
f(x) = Cx\ ,
[[/math]]
where [math]C[/math] is a constant.
- Find [math]C[/math].
- Find [math]P(E)[/math], where [math]E = [a,b][/math] is a subinterval of [math][2,10][/math].
- Find [math]P(X \gt 5)[/math], [math]P(X \lt 7)[/math], and [math]P(X^2 - 12X + 35 \gt 0)[/math].