3. The probability that Jaden's dog will wear a collar today is0.55. The probability that Jaden will take the dog on a walkis 0.3, and the probability that both will occur is 0.25. Arethe two events independent?Yes, the events are independent because the product ofthe probability of each event is 0.25.No, the two events are not independent because thedifference of the probabilities of each event is 0.25.No, the two events are not independent because theproduct of the probability of each event is not 0.25.Yes, the two events are independent because thedifference of the probabilities of each event is 0.25.

Step 1:Two events are independent if and only if :P(A∩B)=P(A)×P(B)Given that :let's :A is the event…

Answered: 3. The probability that Jaden's dog…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Q. 2 The probability that a smoker who consumes over 20 cigarettes a day will suffer from chronic respiratory illness is 4 The 10 probability that he will suffer from heart disease is The 10 probability that he will suffer from at least one of these ailments is 6.5 10 (i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease. (iv) Are events "chronic respiratory illness" and "heart disease independent"?
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