normally distribute

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
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?
Transcribed Image Text: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?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer