The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.17 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 99.17 inches?

The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.17 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 99.17 inches?

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

The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 86.21 inches? (b) A sample of 41 boards is randomly selected. What is the probability that their mean length is greater than 86.21 inches?
The weights of the guinea pigs in a laboratory are normally distributed with a mean weight of 2.1 pounds and a standard deviation of 0.8. What is the probability that a randomly selected guinea pig would weigh above 2.3 pounds?
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.7 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.37 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 105.37 inches?
Consider an exam with a mean of 76 and a standard deviation of 5 points. What is the probability that a randomly chosen student scored got a B or better on the exam (scored an 80 or better)? A. 0.3561 B. 0.7881 C. 0.4511 D. 0.2119
The weights of Australian Cattle Dogs are normally distributed with a mean of 25 kg and a standard deviation of 4 kg. What is the probability (%) that a randomly selected dog weighs between 23 kg and 32 kg?
Assume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.
A market researcher analyzes how many cases of bottled water a customer buys at a grocery store. The distribution has a mean of 3.0 and standard deviation of 0.7. Assuming a random sample of 400 customers, what is the probability that the total cases of bottled water purchased is less than 1,186?
The lengths of lumber a machine cuts are normally distributed with a mean of 90 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 90.12 inches? (b) A sample of 39 boards is randomly selected. What is the probability that their mean length is greater than 90.12 inches?
The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is under 1615 sq. ft. (round z to 2 decimal places & probability to 4 decimal places)? z = probability =
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.65.6 days and a standard deviation of 2.12.1 days. What is the probability of spending more than two days in recovery? A.) 0.9568 B.) 0.0432 C.) 0.8922 D.) 0.0401
The lengths of lumber a machine cuts are normally distributed with a mean of 100 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 100.16 inches? (b) A sample of 41 boards is randomly selected. What is the probability that their mean length is greater than 100.16 inches?
Steel bolts have a mean diameter of 128 millimeters, and a standard deviation of 5 millimeters. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.8 millimeters? Round 4 decimal places