1. The length of life (in hours) of a certain type of electric bulb has a mean of 500 hours and a standard deviation of 35 hours. What is the probability that a random sample of fifty bulbs will have a mean life between 488 and 505 hours? 2. The weight of food packed in certain containers has a mean of 16 ounces and a standard deviation of 0.6 ounces. There are 36 containers placed in a box for shipping. Find the probability that a randomly picked box will weigh over 585 ounces. 3. The amount of time (in minutes) devoted to commercials on a TV channel during any half-hour program is normally distributed with a mean of 6.3 minutes and a standard deviation of 0.866 minutes. What is the probability that a person who watches 20 half-hour programs will see less than 2 hours of commercials? 4. The amount of ice cream in a cone has a distribution with a mean of 3.2 ounces per cone and a standard deviation of 0.4 ounces. If there are 50 children to be served ice cream at a birthday party, find the probability that more than 165 ounces of ice cream will be served. Please show step by step instructions on how you solved the equation