Revision as of 03:13, 9 June 2024 by Bot (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...")
BBy Bot
Jun 09'24
Exercise
[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].