Assume all variables are binomial. An elevator has five fail-safe components. The probability of each failing is 0.05. Find these probabilities: a) Exactly 2 will fail. b) More than 2 will fail. c) All will fail. d) Compare the answers for a, b, and c, and explain why these results are reasonable.
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A: First we have to find x and y x=0.54-0.22=0.32 y=0.46-0.12=0.34
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A: See below the solution
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- José plays basketball. He makes free throw shots 43% of the time. José must now attempt two free throws. The probability that José makes the second free throw given that he made the first is 0.49. Is José's first free throw shot independent of his second free throw shot? There is not enough information to determine whether or not the two free throws are independent of each other. The two free throws are dependent on each other. O The two free throws are independent of each other. What is the probability that José makes both free throws? Round your answer to three decimal places.A spinner has three sections, each with different point values and areas:The lose-a-point section is 2/3 the area of the spinner.The 2-point section is 1/4 the area of the spinner.The 3-point section is 1/12 the area of the spinner. Outcome value, x Lose-a-pt: -1 Probability, P 2/3Solve it fast and correctly. I will rate accordingly with multiple votes. Need 100% correct answer. There are eight seats at a rectangular table - three on each of the longer sides and one on each of the shorter sides. Six adults and two children sit around the table, with each seating configuration equally likely. What is the probability that the two children will end up seating next to each other on one of the longer sides of the table?
- Question 11: Find the probability that at least one of them gets off on the 5th floor. O .271 O .3 O .336Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10Task 3. The automobile engine plant delivered a batch of engines to the car assembly plant. 5 engines taken for testing. The probability of each of them to pass the test is 0.95. What is the likelihood that the tests will pass successfully: a) exactly three engines; b) at least three engines; c) all five engines; d) at least one engine?
- Solve it fast and correctly. I will rate accordingly with multiple votes. Need 100% correct answer. There are eight seats at a rectangular table - three on each of the longer sides and one on each of the shorter sides. Six adults and two children sit around the table, with each seating configuration equally likely. What is the probability that the two children will end up seating next to each other on one of the longer sides of the table?Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.i need part D
- Luis is playing a paint ball game. To win, he must capture the flag and choose the correct escape route. The chance that he captures the flag is 62%. The chance that he chooses the correct escape route is 68%. The probability that he does both is 41%. Create a Venn Diagram and determine the probability that: He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn’t complete either taskFriskie is having her fifth litter. The prior litters have either been three normal pups or two normal pups and a runt. Assume the probability of either outcome is 50%.During class we found the probability of having as a hand the ”Royal Flush”. However, other pairs also exist in poker: Two-pair: Two cards have one rank, two cards have another rank, and the remaining card has a third rank. e.g. 2♥, 2♠, 5♥, 5♣, ��♦ Three-of-a-kind: Three cards have one rank and the remaining two cards have two other ranks. e.g. 2♥, 2♠, 2♣, 5♣, ��♦ Calculate the probability of each type of hand. Which is more likely