Please show ALL work

Assume that you are managing an e-commerce delivery service that utilizes manual pickers to prepare customer orders for delivery. You figure the average time for an order to be picked is 30 minutes with a standard deviation of 5.099. Use this data to answer the following questions. The following four questions require you to calculate probabilities given z-scores (i.e., the number of standard deviations from the mean). (2 points each) 1. What is the probability that the picking time is 1.5 standard deviations below the mean or less? [Hint: P(z1.5)=?] 2. What is the probability that the order picking time is 2.5 standard deviations above the mean or more? 3. What is the probability that the order picking time falls between 1.0 standard deviations below the mean and 2.0 standard deviations above the mean? [Hint: P(1.0z2.0)=?] 4. What is the probability that the order picking time is within three standard deviations of the mean. [Hint: P(3z3)= ?] 5. What is the probability that the order picking time is greater than the mean? [Hint: P(2