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The frequency distribution for the number of people per occupied dwelling unit is shown below, where "7" has been substituted for "7 or more." The following frequencies are found in millions of home units:

Let Y represent the number of people drawn at random from a housing unit.

The number of people per occupied housing unit can be calculated using the frequency distribution table provided. be 1, 2, 3, 4, 5, 6 or 7. Hence, the potential values for Y:

$Y=1,2,3,4,5,6,7$

When a living unit has exactly three people, it is referred to as:

Y = 3

The experiment is conducted out assuming that the random variable $(Y=y)$occurs n times out of a total of N times. As a result of the $\frac{f}{N}$rule:

$P(Y=y)=\frac{n}{N}$

Here, Total number of times the experiment took place (N):

$27.9+34.4+17+15.5+6.8+2.3+1.4=105.5$

By $\frac{f}{N}$rule:

$$\begin{gathered} P(Y=3)=\frac{17}{105.5} \\ =0.161 \end{gathered}$$

Here, total number of times the experiment took place :

$27.9+34.4+17+15.5+6.8+2.3+1.4=105.5$

Hence the probability of random variable Y is:

The probability histogram for the random variable X is as follows: