MGF1106 Hillsborough Community Conditional Probability Problems Paper

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Mathematics

MGF1106

Hillsborough Community College

Description

There is 13 math questions that need to be answered one topic is Or and And Problems and the other is Conditional Probability. Attached below is the screenshots of the assignments.

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Find the indicated probability. If P(A or B) = 0.8, P(A) = 0.2, and P(A and B) = 0.15, find P(B). P(B) = (Simplify your answer. Type an integer or a decimal.) Angel Sanchez has 8 books on a shelf, 3 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below. a) Selecting one science fiction and then one biography, with replacement b) Selecting one science fiction and then one biography, without replacement a) The probability of selecting one science fiction and then one biography, with replacement, is (Type an integer or a simplified fraction.) A sample of 53 people yielded the information about their health insurance in the given table. Two people who provided information for the table were selected at random, without replacement. Find the probability that at least one has traditional insurance. Number of People Type of Insurance 28 Managed care plan 22 Traditional insurance 3 No insurance The probability is (Type a fraction. Simplify your answer.) A sample of 55 people yielded the information about their health insurance in the given table. Two people who provided information for the table were selected at random, without replacement. Find the probability that at least one has traditional insurance. Number of People 28 23 4 Type of Insurance Managed care plan Traditional insurance No insurance The probability is (Type a fraction. Simplify your answer.) A sample of 41 homeowners who recently hired a landscaping service yielded the following information about their landscaper. Number of Homeowners Would you Recommend Your Landscaper to a Friend 21 Yes 8 No 12 Not sure Three homeowners who provided information for the table were selected at random. Determine the probability that they would all recommend their landscaper. What is the probability that the three homeowners would all recommend their landscaper? (Type an integer or a simplified fraction.)
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