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O https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29406104 . . . 3. [3/4 Points] DETAILS PREVIOUS ANSWERS SOWRECMATH3 28.3.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose you roll two tetrahedron each with faces marked 1-4. Find each probability. (You may want to make a table of a sample space.) (a) P(sum of 3 and one 2) 2/16 (b) P(sum of 9) c) P(sum of 3 or exactly one 3) 1/8 (d) P(two 3s and sum of 6) 0.0625 4 eBook 4. [1/3 Points] DETAILS PREVIOUS ANSWERS SOWRECMATH3 28.3.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose there are three crucial components on a space shuttle launch: rocket system, guidance system, and communications system. Suppose also that the probabilities that the systems function correctly are Rocket, 0.95; Guidance, 0.9; Communications, 0.98. If one or more of the components does not work, the launch must be aborted. (We are not taking into account backup systems.) (a) What is the probability that a launch will be aborted? (Hint for the calculation: What is the probability that all the components work?) 0.8379 X What assumption must you make to determine this probability, based on the information you have? All three systems functioning correctly are disjoint events. All three systems functioning correctly are equally likely events. All three systems functioning correctly are conditional events. All three systems functioning correctly are independent events . (b) What does the probability in part (a) mean? The probability means that with a very large number of launches, % will be aborted. Book