Quiz 4 Study Guide: Conditional Probability and Z-Scores

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Quiz 4 Shaun Wright (username: SWRIGHT112) Attempt 1 Written: Jun 8, 2023 8:27 PM - Jun 8, 2023 8:47 PM Submission View Released: Jun 13, 2023 11:59 PM Question 1 8 / 8 points When the probability of event B is affected by the occurrence of event A, the events are not independent. Let P(B | A) denote the probability of B given the condition that A has occurred. This is called a conditional probability. Type | by holding down Shift and type \ For independent events A and B, P(B | A) = P(B), and P(A | B) = P(A) For dependent events A and B P(B | A) ≠ P(B). The occurrence of A has changed the probability of B. P(A | B) ≠ P(A). The occurrence of B has changed the probability of A. For dependent events, P(A and B) = P(A) x P(B | A) = P(B) x P(A | B). This is the General Multiplication Rule. Assume the following joint and marginal probabilities: When we know the condition that some event has occurred, the table reduces to a row or column matching the condition. For example, when we know that the party

is Democrat, the table reduces to the Democrat column: P(Yes | Democrat) is the probability of event Yes given the condition that the event Democrat has occurred. In condition Democrat, Yes occurs at a rate of 0.15 in 0.40. So P(Yes | Democrat) = 0.15/0.40 = 0.375. Supplemental Course Content Session 3 Lecture beginning p. 13 Additional Reading Video P(Male | Republican) is a ________ probability. Question 2 0 / 8 points Answer: Marginal Joint Conditional Given the following partial relative frequency table Republican Democrat Independent Male 0.173 0.118 0.155 Female 0.105 0.161 ? Compute P(Female | Democrat), and enter your answer with 3 decimal places.

0.605 (0.577) View ques " on 2 feedback Question 3 8 / 8 points Answer: 0.470 View ques " on 3 feedback Question 4 12 / 12 points Given the following partial relative frequency table Republican Democrat Independent Male 0.189 0.103 0.110 Female 0.200 0.128 ? Compute P(Republican | Male), and enter your answer with 3 decimal places. Assume breast cancer affects 0.005 of the female population between 45 and 55 years of age. There are two kinds of positive test results: True positive (the test indicates you have a disease, and you actually have it) False positive (the test indicates you have a disease, but you actually do not). Assume mammograms are 0.90 accurate detecting people who actually have breast cancer (true positive rate) 0.92 accurate for people who do not have breast cancer (true negative

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Answer: 0.056 View ques " on 4 feedback Question 5 8 / 8 points Answer: -9 View ques " on 5 feedback Question 6 8 / 8 points rate). Compute the probability that a female between the ages of 45 and 55 who tests positive for breast cancer has breast cancer, and enter your answer with 3 decimal places. Misa earned a score of 80 on her latest exam. The professor determined that all of the scores from this exam had a normal distribution with a mean of 89 and a standard deviation of 1. What is Misa's Z score on her exam? Round to three decimal digits. Blue Crab lengths have a normal distribution with a mean of 8 inches and a standard deviation of 2 inches. What is the Z value of 6 inches? Round to three decimal digits.

Answer: -1 View ques " on 6 feedback Question 7 8 / 8 points In every normal distribution Question 8 8 / 8 points In a normal distribution the probability of a value larger than one standard deviation above the mean is: Question 9 8 / 8 points In a normal distribution the probability of a value between 2 and 3 standard deviations below the mean is: The mean and the median are equal The mean is larger than the standard deviation The mean = 0 and the standard deviation = 1 The interquartile range covers 68% of the values 32% 16% 68% There is not enough information to answer the question

View ques " on 9 feedback Question 10 8 / 8 points The Standard Normal Distribution is a Normal Distribution with the following characteristics: Question 11 8 / 8 points Choose all of the correct answers for the characteristics of a Binomial Probability Distribution. .15% 2.35% -.15% -2.35% The mean is 1 and the standard deviation is 0 The mean is 0 and the standard deviation is 1 The mean and the standard deviation are 0 The mean and the standard deviation are 1 The binomial trials are independent of each other. An example of a binomial trial is rolling a die. Each binomial trial has only 2 possibilities. The binomial trials are dependent on each other. The variables are continuous. The variables are discrete. There can be three or more outcomes of each binomial trial.

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Question 12 8 / 8 points Select all correct answers for the Poisson probability distribution. Attempt Score: 92 / 100 - 92 % Overall Grade (highest attempt): 92 / 100 - 92 % Done An example of a binomial trial is flipping coins. The Poisson distribution describes a situation where the probability of success does not remain the same from trial to trial. An example of a Poisson trial is counting the number of misspelled words in a magazine article. The Poisson distribution describes the number of events occurring in a unit of space or time. The Poisson distribution's mean=median=mode. The variables in a Poisson trial are measured. The Poisson distribution is always positively skewed. The variables in a Poisson trial are counted. An example of a Poisson trial is selecting the members of a committee from one business.

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