Bolts produced by a machine are acceptable provided that their length is within the range from 5.95 to 6.05 centimeters. Suppose that the lengths of the bolts produced are normally distributed with μ = 6 centimeters and σ = 0.02. What is the probability that a bolt will be of an acceptable length?
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
So, here you want the probability of 5.95 to 6.05 - which, in terms of the z number, is (6.05-6.00)/0.02. Use that z number to get the probability of something less than 6.05 (that should be relatively simple), and then subtract 0.5 from that to get the probability from 6.00 to 6.05 (because the normal curve is split in half at the mean). Because this normal distribution is symmetrical, you can multiply that last value by 2 to get the probability between the two bounds, each on the opposite side of the mean.