Question

In: Statistics and Probability

Classify the following random variables as discrete or continous. 1) The surface area of a randomly...

Classify the following random variables as discrete or continous.

1) The surface area of a randomly selected person's body.

2) The quantity of oil in a randomly selected oil spill in the sea.

3) The quantity of pots in a randomly selected restaurant kitchen.

4) The total cent value of all the coins in a randomly selected person's pockets.

Solutions

Expert Solution

A discrete variable is a variable whose value is obtained by counting.

Examples:                  number of students present

                                    number of red marbles in a jar

                                    number of heads when flipping three coins

                                    students’ grade level

A continuous variable is a variable whose value is obtained by measuring.

Examples:     height of students in class

                        weight of students in class

                        time it takes to get to school

1) The surface area of a randomly selected person's body.

= contionous because values are obtained by measuring

2) The quantity of oil in a randomly selected oil spill in the sea.

= continous variable beacuse we need to measure oil with som measurement device.

3) The quantity of pots in a randomly selected restaurant kitchen.

= discrete vaiable since we have to count pots .

4) The total cent value of all the coins in a randomly selected person's pockets.

= discrete variable because we need to count all coins and then find value of total cents.

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