1. A particular manufacturing design requires a shaft with a diameter between 19.87mm and

20.010mm. The manufacturing process yields shafts with diameters normally distributed, with a mean of 20.002mm and a standard deviation of 0.005mm.

b. For this process what is the probability that a shaft is acceptable? 2. One year consumers spent an average of $23 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $4.

b. What is the probability that a randomly selected person spent between $13 and $22

3. A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 80 thousand miles and a standard deviation of 12 thousand miles.

b. What percentage of trucks can be expected to travel either less than 55 or more than 95 thousand miles in a year?