Q2: A satellite can fail for many possible reasons, two of which are computer failureand engine failure. For a given mission, it is known that: The probability of engine failure is0.008; the probability of computer failure is 0.001.Given engine failure, the probability of satellite failure is 0.98.Given computer failure, theprobability of satellite failure is 0.45.Given any other component failure, the probability ofsatellite failure is zero. Determine:|(a) The probability that a satellite fails.(b) The probability that a satellite fails and is due to engine failure.(c) Assume that engines in different satellites perform independently. Given a satellite hasfailed as a result of engine failure, what is the probability that the same will happen to anothersatellite?

Let events : E = Engine Failure , P(E) = 0.008 C = Computer Failure , P(C) = 0.001 S = Satellite…

Answered: Q2: A satellite can fail for many…

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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Susie has three children. Josh has a z-score of 0.87 for his height and David has a z-score of 0.13 for his height. Solve for the probability the Kelley will have a height between her brothers. Positive z-scores: Z 0.0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.0 0.5000 0.5040 0 5080 0 5120 0.5160 0.5199 0.5239 0.5279 0.1 0.5398 0.5438 0.5478 05517 0.5557 0.5596 0.5636 0.5675 0.2 0.5793 0.5832 0.5871 0 5910 0.5948 0.5987 0.6026 0.6064 03 06179 0 6217 0.6255 0. 6293 0.6331 0.6368 0.6406 0. 6443 0.4 0 6554 0.6591 0.6628 0.6664 0.6700 0 6736 0.6772 0.6808 0.5 0.6915 0.695o 0.6985 07019 0.70540.7088 0.7123 07157 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 DELL %24 & 23 8) 4 7 の 10
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Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5 , and the probability that Thomas scores more than 175 is 0.1 . Their scores are independent. Round your answers to four decimal places, if necessary. (a) Find the probability that both score more than 175 . (b) Given that Thomas scores more than 175 , the probability that Sarah scores higher than Thomas is 0.4 . Find the probability that Thomas scores more than 175 and Sarah scores higher than Thomas.
The values listed below are waiting times (in minutes) of customers at 2cdifferent banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers mayventer any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.3 6.6 6.7 6.8 7.1 7.2 7.5 7.8 7.8 Bank B 4.1 5.5 5.8 6.1 6.7 7.7 7.7 8.4 9.3 10.0 Construct a 95% confidence interval for the population standard deviation at Bank A
A manufacturer of floor polish conducted a consumer-preference experiment to determine which of five different floor polishes was the most appealing in appearance. A sample of 100 consumers viewed five patches of flooring that had each received one of the five polishes. Each consumer indicated the patch he or she preferred. The lighting and background were approximately the same for all patches. The results are given below. Solve the following using the p-value approach and solve using the classical approach. Polish A B C D E Total Frequency 26 16 16 21 21 100 (a) Complete the hypothesis test using ? = 0.10. (i) Find the test statistic. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your answer to four decimal places.)
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October? n.b the picture is example of solution

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