What is the difference between discrete and continuous probability distributions? We will solve this problem with Excel Using BINOMDIST. Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease.   You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc.  You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease?  What is the likelihood of this outcome? Use the formula for the corresponding probability distribution to solve the problem. A manufacturer of television set known that on an average 5% of their product is defective. They sells television sets in consignment of 100 and guarantees that not more than 2 set will be defective. Which probability distribution is appropriate for use in the scenario? What is the value of λ? Write down the formula for the Probability Distribution. What is the probability that the TV set will fail to meet the guaranteed quality?Use e-5 = 0.0067 Find the mean and variance of the distribution. The daily water usage per person in Toledo, Ohio is normally distributed with a mean of 20 gallons and a standard deviation of 5 gallons. Let X be the daily water usage. What is the probability that a person selected at random will use less than 20 gallons per day? What is the probability that a person selected at random will use more than 20 gallons per day? What percent uses between 20 and 24 gallons? What is the probability that a person selected at random uses more than 28 gallons? How many gallons or more do 10% of the population use?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Question
  1. What is the difference between discrete and continuous probability distributions?

  1. We will solve this problem with Excel Using BINOMDIST.

    Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease.   You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc.  You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease?  What is the likelihood of this outcome?

  2. Use the formula for the corresponding probability distribution to solve the problem.

A manufacturer of television set known that on an average 5% of their product is defective. They sells television sets in consignment of 100 and guarantees that not more than 2 set will be defective.

  1. Which probability distribution is appropriate for use in the scenario?
  2. What is the value of λ?
  3. Write down the formula for the Probability Distribution.
  4. What is the probability that the TV set will fail to meet the guaranteed quality?
    Use e-5 = 0.0067
  5. Find the mean and variance of the distribution.

  1. The daily water usage per person in Toledo, Ohio is normally distributed with a mean of 20 gallons and a standard deviation of 5 gallons. Let X be the daily water usage.

    1. What is the probability that a person selected at random will use less than 20 gallons per day?
    2. What is the probability that a person selected at random will use more than 20 gallons per day?
    3. What percent uses between 20 and 24 gallons?
    4. What is the probability that a person selected at random uses more than 28 gallons?
    5. How many gallons or more do 10% of the population use?
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