Motorola uses the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces Calculate the probability of a defect and the expected number of defects for a 1000-unit production run if the process standard deviation is 0.15 and the process control is set to a plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.

Motorola uses the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces Calculate the probability of a defect and the expected number of defects for a 1000-unit production run if the process standard deviation is 0.15 and the process control is set to a plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.

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

Let the random variable X follow a normal distribution with mean = 120 and variance = 72.25. Find the inter quartile range for the distribution of X. Type your numerical answer here.
IQ is normally distributed with a mean of 100 and a standard deviation of 15. When selecting samples of size n = 16, find the probability a randomly selected sample has a mean less than 92.
A random variable is not normally distributed, but it is mound shaped. It has a mean of 18 and a standard deviation of 2. For a sample of size 13, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.μx̄ = σx̄ =
For a normally distributed random varible y, mean is 25 and standard deviation is 9. Find the z score for a value of 16 Round to three decimals
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean u = 86 and standard deviation o = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) x is more than 60 0.8315 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125)
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 19 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.36 gram.
Consider a normally distributed population of scores with a mean μ = 100 and σx = 10. What score has a Z value of -0.82?
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 11 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.22 gram.
Assume the random variable X is normally distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
A newly developed vaccine has been developed and the vaccine has to be kept very cold so it is effective. If the temperature of the stored vaccine vials raises above 40 degree Fahrenheit the vials can no longer be used. The freezer at the pharmacy of a small town is old and the temperature fluctuates following a normal distribution with mean μ and standard deviation 5. The pharmacist can set μ to a preferred temperature. If the pharmacist wants to guarantee that the vials are damaged with probability no higher than 0.02, what is the highest µ that she can set? Enter your answer to 2 decimal points. (Standard Normal Table)
Assume the random variable X is normally distributed, with mean μ=50 and standard deviation σ=7 Find the 81st percentile.