At one locality near a busy airport the noise level of a jet aircraft taking off is approximately normally distributed with a mean of 101 decibels and a standard deviation of 5 decibels. (a) What is the probability that a randomly selected jet will generate a noise level greater than 110 decibels. Use tables from this course to give your answer. (b) What is the probability that if four jets are selected at random none will generate a noise level greater than 110 decibels? In answering this ques- tion state which distribution you are using (including its parameters) and use forumlas rather than technology to give your answer. (c) If a noise regulation is introduced which specifies that 95% of all jets taking off must have noise levels less than 105 decibels by how much must the mean noise level of aircraft be reduced assuming the standard deviation remains the same?