The probability of event A is 0.4. The probability of event B is 0.3. The probabilityof event A UB is 0.7. What is the probability of event B happening, given thatevent A has happened?0.10.20.30.40.50.60.70.80.91

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Answered: The probability of event A is 0.4. The…

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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The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.88. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present? b. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the probability that the disease is not present? ... a. The probability is (Round to three decimal places as needed.) b. The probability is (Round to three decimal places as needed.)
Event A occurs with probability 0.8. The conditional probability that event B occurs, given that A occurs, is 0.5. The probability that both A and B occur is
If P(A) = 0.52, P(B) = 0.45 and P(A u B) = 0.76, then P(B | A) = (Enter a number between 0 and 1, using two decimal points)
Find the probability of an event E if the odds for E is equal to the odds against
A certain affects virus 0.7% of the population. A test used to detect the virus in a person is positive 89% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 700 99,300 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Infected | Positive Test)= %b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Not Infected | Negative Test) = %
The probability of rain during winter is 0.8. The probability of a heat wave during winter is 0.1. Rain and heat waves cannot coexist at the same time. What is the probability of having either a rainy day or a heat wave during winter? a. 1 b. 0.9 c. 0.08 d. 0.82
The probability that a person has a certain disease is 0.05. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.92. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.04. a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present? b. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the probability that the disease is not present?
Assume that A and B are independent events. The probability of event A is 0.38 while the probability of event B is 0.77. Assume that you observe that event B has occurred, what is the probability of event A? Submit your answer to the second decimal point, that is, 0.32 instead of 0.3.
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
Find the probability that when a couple has five children, at least one of them is a girl. (Assume that boys and girls are equally likely.) The probability is ? that at least one of the five children is a girl.
If the probability of an event E is 2/3, then the probability that E will not occur is
A certain affects virus 0.7% of the population. A test used to detect the virus in a person is positive 89% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 700 99,300 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = > Next Question Type here to search さー Prisc F7 F9 & 8 3 4. E R T Y AU F G C V M Alt

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The probability of event A is 0.4. The probability of event B is 0.3. The probability of event A UB is 0.7. What is the probability of event B happening, given that event A has happened? 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9