Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Can you help with Continuous Probability Distributions, Normal Distribution? Please see instructions in the image below: Continuous Probability Distributions: Normal Distribution 1) Provide an example

Can you help with Continuous Probability Distributions, Normal Distribution? Please see instructions in the image below:

image text in transcribed
Continuous Probability Distributions: Normal Distribution 1) Provide an example of when the normal distribution is applied in daily living. 2) Using the normal distribution table, answer: What is the probability that a random variable x is: a) Smaller than -1.00 b) Smaller than -2.50 c) Greater than 1.25 d) Between 1.00 y 2.00 e ) Between -1.8 y 2.8 f) Greater than 3.22 g) Smaller than -3.25 h ) Between -2.11 y 1.55 3) The meat department at a local grocery store specifically prepares their "1 pound" packages of ground beef, so there is a variety of weights; some slightly larger and others slightly less than 1 pound. Suppose the weights of these "1 pound" packages are normally distributed with a mean of 1.00 pounds and a standard deviation of 0.15 pounds. a) What proportion of the packages will weigh more than one pound? What proportion of the packages will weigh between 0.95 and 1.05 pounds? What is the probability that a randomly selected package of ground beef weighs less than 0.80 pounds? 4) Based on Mendenhall, 2015. Studies show that gasoline use for compact cars sold in the United States is normally distributed, with a mean of 35.5 miles per gallon (mpg) and a standard deviation of 4.5 miles per gallon. What percent of compacts travel 40 miles per gallon or more? 5) The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of 2.8 inches. The height of women is normally distributed, with a mean of 63.6 inches and a standard deviation of 2.5 inches. Modeling academy standards require women to be models taller than 66 inches (or 5 feet 6 inches). What percentage of women meet this requirement? 6) The average amount of rainfall in the Dominican Republic last month was 3.5 inches, according to the National Meteorology Center. Suppose a normal distribution can be used and the standard deviation is 0.8 inches. a) What percent of the time was last month's rainfall greater than 5 inches? What percentage of the time was rainfall less than 3 inches? A month is considered extremely humid if the rainfall is 10% higher for that month. How much rainfall must be in April to be considered an extremely humid month

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Advanced Engineering Mathematics

Authors: Erwin Kreyszig

10th edition

470458364, 470458365, 978-0470458365

More Books

Students also viewed these Mathematics questions

Question

what factors should I include in my survey (regressional analysis)

Answered: 1 week ago