4. The time required in the first step of a manufacturing process is a normally-distributed random variable withmean = 45 min and standard deviation = 4 min. The time required in the second step of the manufacturingprocess is also a normally-distributed random variable with mean = 24 min and standard deviation = 3 min.a) What is the probability that the time required to complete both of those steps will be greater than75 min?b) What is the probability that the time required to complete both steps will be no more than 70 min?

Let X = time to complete the first step, then

Answered: 4. The time required in the first step…

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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Suppose a geyser has a mean time between eruptions of 92 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 24 minutes. Complete parts (a) through (e) below.
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.5 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) (b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
A factory's worker productivity is normally distributed. One worker produces an average of 73 units per day with a standard deviation of 19. Another worker produces at an average rate of 66 units per day with a standard deviation of 20. A. What is the probability that in a single day worker 1 will outproduce worker 2? Probability= B. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2? Probability =
2. A motorcycle manufacturer indicates that the time (in years) that a motorcycle can last without failure, giving it preventive maintenance, is distributed with a mean of 2.8 years and a variance of 0.35 years. a) What is the probability that the motorcycle will last without failure for less than 4 years?b) What is the probability that the motorcycle will last without failure between 2.9 and 4.7 years?
Suppose the weight of turkeys in a store are normally distributed with mean 15.5 lb and standard deviation 2 lb. If a turkey is grabbed at random what is the probability that the weight will be less than 16 lb?
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 2.8 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. USE SALT (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) 0.5432 (b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Suppose that the age of a randomly selected business major can be considered to be a random variable with mean 20 years and standard deviation 2 years. A group of 64 business majors is selected at random and their average age x¯ is calculated. b) What is the probability that x¯< 19.7?

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