Answer:
3.98964 inches
Step-by-step explanation:
We are given;
Mean; μ = 4 inches
Standard deviation; σ = 0.01 inch
Probability = 15% = 0.15
Formula to calculate z-value is given by;
z = (X - μ)/σ
Now, since we are given the probability to be below 0.15,thus;
From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.
Thus, plugging in the relevant values into the z score equation gives;
-1.036 = (x - 4)/0.01
Cross multiply to give;
-0.01036 = x - 4
x = 4 - 0.01036
x = 3.98964 inches
