Answered: Blood Type B+ is relatively rare in the…

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 expected value (mean) that person has Type B+ blood type?

Blood Type B+ is relatively rare in the population, with a probability of .085.
We will work on a problem will be based on randomly selecting three people
and determining if they are Blood Type B+ or Not (Y or N). I want you to work
out the sample space on paper or Excel. Then add the probabilities. Later we
will convert that sample space to a discrete random variable of the number of
people with Blood Type B+ (outcomes are 0, 1, 2, or 3). Do this first and then
answer the questions.
Now let's focus on the Discrete Random variable of the number out of three
who are Type B+.
What is the expected value (mean) that person has Type B+ blood type? Use
four decimal places in your answer and use the proper rules of rounding.

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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Blood Type B+ is relatively rare in the population, with a probability of .085. We will work on a problem will be based on randomly selecting three people and determining if they are Blood Type B+ or Not (Y or N). I want you to work out the sample space on paper or Excel. Then add the probabilities. Later we will convert that sample space to a discrete random variable of the number of people with Blood Type B+ (outcomes are 0, 1, 2, or 3). Do this first and then answer the questions.

Now let's focus on the Discrete Random variable of the number out of three who are Type B+.

What is theVariance that a person has Type B+ blood type? Use four decimal places in your answer and use the proper rules of rounding.

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