Gas company bought a new machine. The weight of metal components in it are normally distributed with a mean of 14lbs and standard deviation 0.92lbs. Components are accepted if their weights are inside the limits 13.7 lbs to 14.42lbs. From a sample 34 components What is the probability that a component sampled randomly from the production will be accepted? What is the probability that a component sampled randomly from the production will be rejec

Gas company bought a new machine. The weight of metal components in it are normally distributed with a mean of 14lbs and standard deviation 0.92lbs. Components are accepted if their weights are inside the limits 13.7 lbs to 14.42lbs. From a sample 34 components What is the probability that a component sampled randomly from the production will be accepted? What is the probability that a component sampled randomly from the production will be rejec

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...

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Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
A special diet was given to a species of birds and the gain in weight (in grams) over a 5-week period was measured. The following are the summary statistics for a random sample of 30 birds: 5-number summary: 55, 90, 105, 120, 155.What is the most likely shape of the distribution?
The sample standard deviation is a measure of what?
Based on data from the National Health Board, weights of men are normally distributed with a mean of 178 lbs, and a standard deviation of 29 lbs. Find the probability that 20 randomly selected men will have a mean weight between 170 and 190.
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
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?
The heights of women in the United States are normally distributed with a mean of 63.7 inches and a standard deviation of 2.7 inches. If you randomly select a woman in the United States, what is the probability that she will be between 65 and 67 inches tall?
Two stores sell watermelons. At the first store the melons weigh an average of 22 pounds, with a standard deviation of 2.5 pounds. At the second store the melons are smaller. with a mean of 18 pounds and a standard deviation of 2 pounds. You take and SRS of 40 melons from the first store and SRS of 34 from the second store Find the mean of each sampling distribution
According to San Jose Mercury News, children in China average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1 hours and the amount of time spent alone is normally distributed. We randomly survey one Chinese child living in a rural area. 1. Find the probability that the child spends more than 5 hour per day unsupervised. 2. What percent of the children spend less than 2 hours per day unsupervised? We randomly survey 100 Chinese children living in a rural area. 1. What is the chance that the average of unsupervised hour for these 100 children is less than 2.9? 2. What is the chance that the sample average of unsupervised hour for these 100 children is between 2.8 and 3.2 hours?