Question

What is the probability

Answer 1

Answer: Last Option

$P=0.4125$

Step-by-step 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

$P = A = 3.3 * 0.125$

$P=0.4125$