The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured. What is the probability that the total time used by machine 2 is less than 53 hours?

The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured. What is the probability that the total time used by machine 2 is less than 53 hours?

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 average speed of cars on 495 is 74 mph with a standard deviation of 6. What is the probability that a car will be traveling at least 76 mph
The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,005. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. please answer all 3 subs B, C, and D round all answers to 4 decimal place where possible thank youb. Find the probability that a randomly selected acre in the forest has fewer than 54,589 ants. c. Find the probability that a randomly selected acre has between 48,168 and 56,283 ants. d. Find the first quartile. ants (round your answer to a whole number)
A particular fruit's weights are normally distributed, with a mean of 665 grams and a standard deviation of 15 grams. If you pick 10 fruit at random, what is the probability that their mean weight will be between 655 grams and 673 grams
A particular fruit's weights are normally distributed, with a mean of 769 grams and a standard deviation of 38 grams.If you pick one fruit at random, what is the probability that it will weigh between 646 grams and 809 grams
An electrical appliance made by company A has an average life of 2500 hours, with a standard deviation of 500 hours. Another company B makes this appliance with an average life of 2300 hours, and a standard deviation of 800 hours. We take 300 devices from company A and 200 devices from company B. Calculate the probability that the average life of the sample from company A is 100 hours less than the average life of the sample from company B. O None of the other options O 0.0582 0.4418 O 0.9418
The average time a CEO remains in office for a certain company is 3.6 years; then a new CEO is selected. It seems that the length of time in office of each CEO is quite unpredictable. What is the standard deviation, in years, of the time until we must find the 6th CEO. What is the probability that no more than 2 CEO's will leave office in the next 5 years?
Each of the batteries in a collection of 40 batteries is equally likely to be either a type A or a type B battery. Type A batteries last for an amount of time that has mean 50 and standard deviation 15; type B batteries last for an amount of time that has mean 30 and standard deviation 6. (a) Approximate the probability that the total life of all 40 batteries exceeds 1700. (b) Suppose it is known that 20 of the batteries are type A and 20 are type B. Now approximate the probability that the total life of all 40 batteries exceeds 1700.
A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor? Round to four decimal places. OA. 0.4429 OB. 0.0569 OC. 0.9429 OD. 0.5710
The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.4 hours and standard deviation 0.1 hours. The time on machine 2 has mean 0.45 hours and standard deviation 0.15 hours. The times needed on the machines are independent. Suppose that 65 parts are manufactured. What is the distribution of the total time on machine 1? On machine 2? What is the probability that the total time used by both machines together is between 50 and 55 hours?
The weights of large eggs are normally distributed with mean 65 grams and standard deviation 4 grams. The weights of standard eggs are normally distributed with mean 50 grams and standard deviation 3 grams. 1. One large egg and one standard egg are chosen at random. Find the probability that the weight of the standard egg is more than 4/5 of the weight of the large egg. 2. Standard eggs are sold in packs of 12 while large eggs are sold in packs of 5. Find the probability that the weight of a pack of standard eggs differs from twice the weight of a pack of large eggs by at most 5 grams. This is Probability and Statistics
A particular fruit's weights are normally distributed, with a mean of 635 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 589 grams and 658 grams? Express your answer in 4 decimal places.
A particular fruit's weights are normally distributed, with a mean of 607 grams and a standard deviation of 32 grams.If you pick 15 fruit at random, what is the probability that their mean weight will be between 604 grams and 608 grams