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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.
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?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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