exercise:1828f810e4: 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 ''at random'' a real number <math>X</math> from the interval <math>[2,10]</math>. <ul><li> Find the density function <math>f(x)</math> and the probability of an event <math>E</math> for this experiment, where <math>E</math> is a...") |
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\newcommand{\mathds}{\mathbb}</math></div> Suppose you choose ''at random'' a real number | \newcommand{\mathds}{\mathbb}</math></div> Suppose you choose ''at random'' a real number | ||
<math>X</math> from the interval <math>[2,10]</math>. | <math>X</math> from the interval <math>[2,10]</math>. | ||
<ul><li> Find the density function <math>f(x)</math> and the probability | <ul style="list-style-type:lower-alpha"><li> Find the density function <math>f(x)</math> and the probability | ||
of an event <math>E</math> for this experiment, where <math>E</math> is a subinterval <math>[a,b]</math> of | of an event <math>E</math> for this experiment, where <math>E</math> is a subinterval <math>[a,b]</math> of | ||
<math>[2,10]</math>. | <math>[2,10]</math>. | ||
Latest revision as of 22:33, 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 at random a real number
[math]X[/math] from the interval [math][2,10][/math].
- Find the density function [math]f(x)[/math] and the probability of an event [math]E[/math] for this experiment, where [math]E[/math] is a subinterval [math][a,b][/math] of [math][2,10][/math].
- From (a), find the probability that [math]X \gt 5[/math], that [math]5 \lt X \lt 7[/math], and that [math]X^2 - 12X + 35 \gt 0[/math].