Question
Steve Goodman, production foreman for the Florida Gold Pruit Company, estimates that the average oranges is 4.700 and the standard deviation is 500 oranges. Sales follow a normal distribution. (a) What is the probability that sales will be greater than 5, 500 oranges? (b) What is the probability that sales will be preater than 4, 500 oranges? (c) What is the probability that sales will be less than 490 oranges? (d) What is the probability that sales will be less than 4, 300 oranges? Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers Inc. is a producer of band ages and arm slings. During the past 5 years, the demand for No-Stick bandages bas been fairly constant on the average, sales have been about 87,000 packages of No-Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages What is the probability that sales will be less than 81,000 packages? Armstrong Faber produces a standard number-two pencil called Ultra-Lite. Since Chuck Armstrong started Armstrong Faber, sales have grown steadily. With the increase in the price of wood products, however, Chuck has been forced to increase the price of the Ultra-Lite pencils. As a result, the demand for Ultra-Lite has been fairly stable over
Explanation / Answer
= 4700, = 500
(a) z = (5500 - 4700)/500 = 1.6
P(x > 5500) = P(z > 1.6) = 0.0548
(b) z = (4500 - 4700)/500 = -0.4
P(x > 4500) = P(z > -0.4) = 0.6554
(c) z = (4900 - 4700)/500 = 0.4
P(x < 4900) = P(z < 0.4) = 0.6554
(d) z = (4300 - 4700)/500 = -0.8
P(x < 4300) = P(z < -0.8) = 0.2119.
