There is a large supply of light bulbs with the average life of 1000 hours and the standard deviation of 50 hours. A light bulb is drawn at random. Find the probability that it will last more than 1020 hours. A random sample of 25 light bulbs is drawn. Find the probability that the sample average life is more than 1020 hours.

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm.Find P98, which is the length separating the shortest 98% rods from the longest 2%.P98 = -cm

About 7% of the population has a particular genetic mutation. 183 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 183. Find the standard deviation for the number of people with the genetic mutation in such groups of 183. (Round to the nearest 2 decimal places.