Question

Use the following information to answer the next ten questions. The data that follow are the square footage (in $1,000$feet squared) of $28$homes

The sample mean $=2.50$and the sample standard deviation $=0.8302.$The distribution can be written as $X~U(1.5,4.5).$

Short answer

The continuous probability distribution is the height of$f\left(x\right)=\frac{1}{3}.$

Step-by-step solution

Given Information

Given in the question that a table

Explanation

For uniform distribution, the height of $f\left(x\right)$is,

$f\left(x\right)=\frac{1}{b-a}$

It is given that

$a=1.5$

$b=4.5$

Hence the height of $f\left(x\right)$will be,

$f\left(x\right)=\frac{1}{4.5-1.5}$

$=\frac{1}{3}.$