The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch and a standard deviation of 0.0004 inch. What is the probability that a diameter is between 0.0014 and 0.0026 inches

Step-by-step explanation:

Given

Required

First, calculate the z score

For x = 0.0014

For x = 0.0026

So, we have:

From z probability table, we have:

Hence:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17