Chapter 10.6, Problem 3E

To determine

To calculate:

The table and its histogram showing the probability distribution for the random variable

Answer to Problem 3E

$x$	Label $1$	Label $2$	Label $3$
Outcome	$5$	$3$	$2$
$P\left(x\right)$	$\frac{1}{2}$	$\frac{3}{10}$	$\frac{1}{5}$

Table: probability distribution

This histogram showing the probability distribution of the number of digits in random integer is:

  

Histogram: Probability distribution

Explanation of Solution

Given information:

  $x=$ Number of outcomes of random variable

Calculation:

Firstly, tabulate the result of the number of digits corresponding to the label in outcome. Divide the number of the outcomes to the label by total number of the outcomes.

  $x=$ Number of outcomes of random variable

$x$	Label $1$	Label $2$	Label $3$
Outcome	$5$	$3$	$2$
$P\left(x\right)$	$\frac{1}{2}$	$\frac{3}{10}$	$\frac{1}{5}$

Table: probability distribution

This histogram showing the probability distribution of the number of digits in random integer is:

  

Histogram: Probability distribution