To examine practices towards a pandemic otubreak, the researcher examined the relevant responses from the survey and assigned scores of 1 (below required standard), 2 (poor standards), 3 (satisfactory standards), 4 (meets required standards) and 5 (exceeds required standard) to each respondent. Using X to represent the score for practices against a pandemic outbreak, the probability distribution of X is shown in Table 3 below. x 1 2 3 4 5 P(X=x) 0.21 0.197 0.2 0.173 0.22 The researcher is interested in using the information in Table 3 to determine the probability that, from a sample of 10 randomly selected adults, exactly 3 of them exceeds the required standard for practices towards a pandemic outbreak. Question:Individual scores for practices towards a pandemic outbreak are found to be normally distributed with a mean of 3 and a standard deviation of 1.5 over the entire population. The government wishes to use this information to identify individuals whose score on practices towards pandemic outbreak is in the lower 75%, in order to give them relevant information on the best practices towards pandemic outbreak. You are asked to assist in calculating the score that the government should use to decide whether an individual should be given the relevant information?

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...

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To examine practices towards a pandemic otubreak, the researcher examined the relevant responses from the survey and assigned scores of 1 (below required standard), 2 (poor standards), 3 (satisfactory standards), 4 (meets required standards) and 5 (exceeds required standard) to each respondent. Using X to represent the score for practices against a pandemic outbreak, the probability distribution of X is shown in Table 3 below.

x	1	2	3	4	5
P(X=x)	0.21	0.197	0.2	0.173	0.22

The researcher is interested in using the information in Table 3 to determine the probability that, from a sample of 10 randomly selected adults, exactly 3 of them exceeds the required standard for practices towards a pandemic outbreak.

Question:

Individual scores for practices towards a pandemic outbreak are found to be normally distributed with a mean of 3 and a standard deviation of 1.5 over the entire population. The government wishes to use this information to identify individuals whose score on practices towards pandemic outbreak is in the lower 75%, in order to give them relevant information on the best practices towards pandemic outbreak. You are asked to assist in calculating the score that the government should use to decide whether an individual should be given the relevant information?

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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