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 1152 pounds and a standard deviation of 23 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? b. Find the probability that a randomly selected item weighs less than 1146 pounds. c. Find the weight that represents the 57th percentile. d. Find the probability that a randomly selected item weights between 1100 pounds and 1146 pounds.

Suppose 14% of Jacksonville residents do not go to a local b…

Suppose 14% of Jacksonville residents do not go to a local beach at least once during the summer. A random sample of 30 Jacksonville residents is selected. (Round to 3 decimal places.)   a. Find the probability that exactly 2 of those sampled do not go to a local beach at least once during the summer. b. Find the probability that less than 3 of those sampled do not go to a local beach at least once during the summer. c. Find the expected number of Jacksonville residents who do not go to a local beach at least once during the summer.