Purchase Solution

Probability and Randomness: Parts a Million

Not what you're looking for?

Ask Custom Question

As a quality engineer working on the Parts a Million production line, you have determined that the probability of producing a defective part is 6%. You want to develop a plan to monitor the quality of this line. Your idea is to take a sample of 20 parts every hour and determine the number of defectives. How many defectives do you need to find (or more) in a sample of 20 so that you will shut down the line. You want to be 95% sure that there is a real problem beyond random noise before you shut down the line.

Excel's binomial function can help... what you did to solve it?

Purchase this Solution
Solution Summary

This solution provides assistance with the problems related to probability and randomness for Parts a Million production line.

Solution Preview

The number of samples is 20.

The probability of failure (producing a defective part) is 0.06. Thus, the probability of a success is 1 - 0.06, or 0.94.

A binomial probability refers to the probability of getting EXACTLY n successes in a specific number of trials.

Cumulative binomial probability refers to the probability that the value of a binomial random variable falls within a specified range.

Suppose a binomial experiment consists of n trials and results in x successes. If the probability of ...

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

View More Free Quizzes
Related BrainMass Solutions

  • Inventory Management and Control for Apple Inc.

    Bayraktar and Ludkovski (2010) recommends that use of a regime-switching (or Markov-modulated) strategy to manage inventories given the probability and randomness of the factors affecting consumer demand.

  • Randomness in a Data File

    Mathematics & Statistics Of or relating to a type of circumstance or event that is described by a probability distribution. 3.

  • Probability: Discrete and Continuous Probability Distributions

    220432 Probability: Discrete and Continuous Probability Distributions What is a probability distribution and its purpose? Distinguish between discrete and continuous probability distributions. Give an example of each. What is randomness?

  • Kruskal-Wallis Non-Parametric Test

    100345 A. Use the runs test to test the sequence for randomness above and below the median of 183.5 Use the Kruskal-Wallis test to test the claim that 12 months had priority numbers drawn from the same population.

  • An introductory statistics study guide including definitions of terms and types of variables and scales.

    Randomness - each possible sample that could be drawn from the population has an equal probability of being drawn.

  • Six Sigma Computation and Interpretations

    This is based on the fact that a process that is normally distributed will have 6.8 parts per million beyond a point that is 4.5 standard deviations above and below the mean , i.e., 3.4 parts per million beyond a point that is 4.5 standard deviations

  • The CF gene

    The expert examines the CF gene randomness and mutation. A detailed solution, including probabilities is provided.

  • Concept of probabilistic reasoning

    Such biases are likely to have a major impact on subjective perceptions of chance and randomness, and thus on peoples' 'meaningful coincidence' experiences (Chiesi, 2008). Probability is the likely that something is going to happen.

  • Normal distribution

    A chemical company produces a product which has an impurity whish is expensive to remove. The mean level is 20 parts per million with SD of 6 parts.

View More Related Solutions