Suppose that the duration of a particular type of criminal trial is normally distributed with a mean of 25 days and standard deviation of 5 days. Draw a picture of the situation and indicate what key was used on your calculator for parts a-c.

a. If 1 trial is randomly selected, find the probability that the trial lasts longer than 30 days. Is it unusual for a trial to be longer than 36 days (use statistical reasoning to explain your answer)?
b. Sixty-five percent of all this type of trials completed within how many days?
c. What are the cut off number off days for the middle 90% of trial times

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

step-by-step explanation:

there's the chart