7. Possessing a boat and renting an apartment are:A. independent eventsB. mutually exclusiveC. both independent and mutually exclusiveD. neither independent nor mutually exclusive

The given events are '' Possessing a boat and renting an apartment''.

Answered: 7. Possessing a boat and renting an…

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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B1. Consider events A, B and C, where A and B are mutually exclusive. Using multiple Venn diagrams, determine if the following proposition is correct, or not: (ANB)U(ANC) = (An BenC)u(ANBNC).
Suppose that events A and B are independent; A and C are independent ; B and C are also independent. If P(A) = 0.3, P(B) = 0.4, P(C) = 0.5, what is P(A ∩ B ∩ Cc )? a). 0.3 b). 0.4 c). 0.6 d). 0 e). none of above
16. Given that two events A and B are mutually exclusive, P(An B) is: a. b. C. d. 17. At a pet store you can choose between 6 fish species, 2 mini frog species, and 4 plant species. You want your tank to contain one fish, one frog, and one plant. How many different setups are possible for your tank? a. 12 b. 48 C. 3 d. 0 0.50 1 None of these a. b. 18. A set of data is normally distributed with a mean of 7 and a standard deviation of 2.5. Calculate the z- score for the data value x = 5: C. d. 122 0.80 -0.80 0.90 -0.90
If event (A) is receiving a bachelor’s degree and event (B) is receiving a PhD then events A and B are necessarily: a. None of the above b. Mutually exclusive c. Independent d. Exhaustive
If E and F are two disjoint events in S with P(E) = 0.44 and P(F) = 0.21, find P(E ∪ F), P(EC), P(E ∩ F), P((E ∪ F)C), and P((E ∩ F)C). P(E ∪ F) P(EC) P(E ∩ F) P((E ∪ F)C) P((E ∩ F)C)
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
4. 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service, 55% have a sprinkler system. For those without a lawn service, 30% have a sprinkler system. (Note: you do NOT need to simplify these answers. However, you MUST express each in terms of the events/probability notation – e.g., P(A|B) =..) a. Draw a tree diagram to model the problem b. What is the probability that a randomly selected home has a sprinkler system? c. What is the probability that a randomly selected home with a sprinkler system has a lawn service? d. What is the probability that a randomly selected home with a lawn service has a sprinkler system? e. What is the probability that a randomly selected home has a lawn service? f. What is the probability that a randomly selected home that does not have a lawn service has a sprinkler system?

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7. Possessing a boat and renting an apartment are: A. independent events B. mutually exclusive C. both independent and mutually exclusive D. neither independent nor mutually exclusive