What proportion of children in a certain population are abused? The classification of whether a child is abused is determined by a social worker. But social workersare not perfect, and diagnoses are sometimes incorrect. Suppose if a child is abused (A), then a social worker will classify that child as abused with probability0.97 and as non-abused with probability 0.03. If the child is non-abused then the social worker classifies the child as non-abused with probability 0.96 and asabused with probability 0.04. Based upon many examinations it is known that about 1.3% of children in the population are abused. Suppose 1.3% of thepopulation actually is abused. We randomly select one child from the population to be examined by a social worker to detect for abusea. What is the probability that the selected child is abused?b. What is the probability that the selected child is abused and is classified as abused?c. What is the probability that the selected child is classified as abused?d. What is the probability that the selected child is classified as non-abused?e. What is the probability that the selected child is abused given that the child is classified as abused?f. If 1000 random children from the (large) population are examined, about how many would classified as abused?

Let us define some events A : a child is abused B : a child is not abused. E : a child is…

Answered: a. What is the probability that 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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A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their non-cash compensation packages to their board members. Company Size Stock Options Large Small-to-midsized Yes 40 43 No 149 137
80% of U.S. drivers over the age of 30 have had a speeding ticket and 55% of those have also been in an accident while behind the wheel. What is the probability that a randomly selected US driver over the age of 30 has had a speeding ticket and also been in an accident while behind the wheel?
2)
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6. A survey by Altgeld Travel Magazine found that 85% of airline passengers prefer to sleep during their flights. Ifwe randomly select 9 passengers, what is the probability that…. (a) Exactly 8 passengers prefer to sleep during their flights? (b) 8 or more passengers prefer to sleep during their flights?
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Review the definitions and examples of probability of events and their complementary events. A survey of 451 Salinas residents showed 389 voted in a recent election. When making a selection from the 451 surveyed, what is the probability the person voted in a recent election? When making a selection from the 451 surveyed, what is the probability the person did not vote in a recent election?
In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. A.What is the probability a randomly selected student lives off campus? B. Explain why this is an example of empirical probability.
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a. What is the probability that the selected child is abused? b. What is the probability that the selected child is abused and is classified as abused? c. What is the probability that the selected child is classified as abused?