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Question: a fair die is rolled a6 and br2 or5 define...

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A fair die is rolled. A-(6) and Br(2) or(5). Define a third event C such that p(C)-1-p(A)-p(B). 5 circuits in an engineering system are connected in series. The probability that anyone of them works is 0.85. Assuming that they operate independently, what is the probability that the system works. Lifespan of dolphins using continuous probability model. The probability that a selected male 4. 5. 6. lives past the age x is exp- 2592 (a) Does the expression above represent a valid probability? (b) If it is a valid probability, what is the probability that a randomly selected dolphin will not live past 50 years Lifespan of birds is described using a continuous probability model. The probability that they do not live past x years is expressed as 7. p(x)= 0.5| 1-exp ) | +0.2| 1-exp|-32 | | +0.3 1-exp 12 (a) Test whether the given expression represents a valid probability. (b) If it represents a valid probability, determine the probability that a parakeet lives past 10 years

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