Question

What is the probability

Answer 1

Answer: Last Option

`P=0.4125`

Explanation:

In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).

To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.

The horizontal length between 4.71 and 7.4 is:

`7.4-4.1 = 3.3`.

Then notice that the vertical length in this interval is 0.125.

Then the area of a rectangle is:

`A = lw`

Where l is the length and w is the width.

In this case we have to:

`l = 3.3`

`w = 0.125`

So

`P = A = 3.3 * 0.125`

`P=0.4125`