The weight of mechanically produced items at a manufacturing…

The weight of mechanically produced items at a manufacturing facility are normally distributed, with a mean of 1072 pounds and a standard deviation of 34 pounds. (Round z-scores to 2 decimal places and all else to 3 decimal places.)   a. What is the Z-score for an item weighing 1146 pounds? [a] b. Find the probability that a randomly selected item weighs less than 1146 pounds. [b] c. Find the weight that represents the 44th percentile. [c] d. Find the probability that a randomly selected item weights between 1000 pounds and 1146 pounds. [d]

Suppose the wait time at a doctor’s office is uniformly dist…

Suppose the wait time at a doctor’s office is uniformly distributed between 4 minutes and 26 minutes. (Round to 3 decimal places.)   a. Find the probability that a randomly selected patient has to wait less than 17 minutes. [a] b. Find the probability that a randomly selected patient has to wait longer than 30 minutes. [b]