Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 16. What is the probability that a certain rope will breakbefore being subjected to 140 pounds? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)

The normal distribution:A continuous random variable X is said to follow normal distribution with…

Answered: Suppose that the breaking strength of a…

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...

See similar textbooks

Similar questions

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 270 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X N( b. Find the probability that a randomly hit fly ball travels less than 302 feet. Round to 4 decímal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
Need help
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 Ibs and a standard deviation of 4.2 Ibs. Find the probability that the population consumes at most 10 lbs yearly? Answer in a complete sentence in context.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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
The average number of kilos of meat a person consumes in a year is 90 kilos. Assume that the standard deviation is 10 kilos and the distribution is approximately normal. If a sample of 45 individuals is selected, find the probability that the mean of the sample will be 87 kilos or greater per year. Express your answer in percent form with 2 decimal places (with percent symbol - e.g. 10.00%) type your answer...
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The average number of kilos of meat a person consumes in a year is 100 kilos. Assume that the standard deviation is 11 kilos and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probability that the mean of the sample will be 105 kilos or greater per year. Express your answer in percent form with 2 decimal places (with the percent symbol - e.g. 10.00%). type your answer... Next
Renee scores an average of 198 points in a game of bowling, and the points are normally distributed. Suppose Renee scores 224 points in a game and this value has a z-score of 2. What is the standard deviation? Provide your answer below: points

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS