Question

The Planet Claire has pink air and some unusual inhabitants. Every citizen of Planet Claire has either one or five pet rocks. You may assume there are equal numbers of

1 rock and 5 rock citizens and the overall population of Planet Claire is in the millions. Compute without a calculator
a. Find the mean pet rock ownership of a citizen of Planet Claire.
b. Find the population variance of the pet rock ownership.

Answer 1

To find the mean pet rock ownership of a citizen of Planet Claire, we can assume that half the population owns 1 rock and the other half owns 5 rocks. The mean is 3/2.

Step-by-step explanation:

To find the mean pet rock ownership of a citizen of Planet Claire, we need to calculate the average number of pet rocks per citizen. Since there are equal numbers of 1 rock and 5 rock citizens, we can assume that half the population owns 1 rock and the other half owns 5 rocks.

Mean = (1 rock citizens + 5 rock citizens) / Total population

Mean = (1/2 * Total population + 5/2 * Total population) / Total population

Mean = (3 * Total population) / 2 * Total population

Mean = 3/2