You are correct. For each of the three possibilities for their second day, there are two possibilities for the third day.
The total number of possibilities is 3*2 = 6.
The event that either M1 or M2 fails has probability
by the addition rule. Failure events are independent, so
so that
Denote this probability by 
. Then 
follows a geometric distribution with this parameter and has density
The expectation is 
.
The average rate of change of the function is -35/16.
<h3>How to find the average rate of change of the function?</h3>
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.
so
at x₁ = -8, f(x₁) = f(-8) = 30
at x₂ = 8, f(x₂) = f(8) = -5
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(8) - f(-8) ] / [8-(-8)]
= [-5 - (30)] / [16]
= [-35] / 16
Therefore, the average rate of change of the function is -35/16.
Learn more about the average rate;
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