Answer: Last Option
[tex]P=0.4125[/tex]
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:
[tex]7.4-4.1 = 3.3[/tex].
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:
[tex]A = lw[/tex]
Where l is the length and w is the width.
In this case we have to:
[tex]l = 3.3[/tex]
[tex]w = 0.125[/tex]
So
[tex]P = A = 3.3 * 0.125[/tex]
[tex]P=0.4125[/tex]
