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 break before being subjected to 120 pounds? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)

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 break before being subjected to 120 pounds? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)

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

Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
The avg. production…
A scientist found that the lengths of a certain population of snakes can be reasonably described using a normal distribution with a mean of 42 cm and a standard deviation of 2 cm. If the scientist collected a sample of 89 snakes, how many of the snakes would be expected to have a length less than 40 cm? A 14 30 C 60 D 74
Complete the table and answer the question. a. What is mean of the probability distribution? b. What is variance of the probability distribution? c. What is standard deviation of the probability distribution?
Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 41? Round your answer to the nearest tenth of a percent. OA. 56.5% OB. 83.5% O C. 62.5% O D. 77.5%
Please see attached.
A distribution has a std deviation of 5. Describe the location of each of the following z score in terms of the position relative to the mean. For example, a z=+1.0 is a location that is 4 points above the mean a. Z=+2.0 b. Z=+.50 с. Z=-2.5 d. Z=-1.50
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 90 and 120. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... Question content area bottom Part 1 The probability that a randomly selected adult has an IQ between 90 and 120 is enter your response here. (Type an integer or decimal rounded to four decimal places as needed.)
Scores from the midterm statistics exam followed a normal distribution with a mean of 69 and a standard deviation of 10. If a student had to score at least an 93 to earn an A, what is the probability that a student earned an A? (Use a table or technology. Round your answer to four decimal places.)
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 129. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... Question content area bottom Part 1 The probability that a randomly selected adult has an IQ less than 129 is enter your response here. (Type an integer or decimal rounded to four decimal places as needed.)
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