**Problem Statement: Probability in a Normal Distribution**Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 14.14 ounces and a standard deviation of 0.04 ounces. Find the probability that the bottle contains more than 14.14 ounces of beer.**Answer Choices:**- 0- 1- 0.4- 0.5

Answered: Image /qna-images/answer/ad804732-cc01-4322-aa46-cf36b8cf99b2.jpg

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a tree is less than 13 feet tall. O 0.67 0.89 0.95 O 0.78
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228
the heights of 18-year old men are approximately normally distributed with a mean of U= 68 inches and a standard deviation of O=3. what is the probability that an 18-year-old mean selected at random is less than 65 inches tall. a .8413 b .1587 c .1389 d .8765
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.91 inch? a. 0.1915 b. 0.2785 c. 0.6170 d. 0.3185 e. 0.3085
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.12 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.02 and 12.08 ounces. Group of answer choices 0.1649 0.1525 0.8475 0.8351
Boston, Massachusetts, averages 211.7 sunny days per year. Assume that the number of sunny days follows a normal distribution with a standard deviation of 20 days. 20 What is the probability that Boston has less than 200 sunny days in a given year? a 0.2394 b 0.2520 c 0.2653 d 0.2793
Please show your work. thank you
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707
The average income tax refund for the 2009 tax year was $3142. Assume the refund per person follows the normal probability distribution with a standard deviation of $926. Complete parts a through d below. a. What is the probability that a randomly selected tax return refund will be more than $2100? (Round to four decimal places as needed.) b. What is the probability that a randomly selected tax return refund will be between $1400 and $3000? (Round to four decimal places as needed.) c. What is the probability that a randomly selected tax return refund will be between $3200 and $4200? (Round to four decimal places as needed.) d. What refund amount represents the 35th percentile of tax returns? $ (Round to the nearest dollar as needed.)
The average annual salary for all U.S. teachers is 47,750. Assume that the distribution is normal and the standard deviation is $5,680. find the probability that a ramdmly selected teacher earns a. between 35,000 and 45,000 a year b. more than $40,000 a year

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