Ex. 17b-Section 4.2, Exercise 17bA k out of n system is one in which there is a group of n components, and the system will function if atleast k of the components function. Assume the components function independently of one another. In a3 out of n system, in which each component has probability 0.4 of functioning, what is the smallest valueof n needed so that the probability that the system functions is at least 0.4?Note: Your answer must be a whole number.The smallest value of n needed so that the probability that the system functions is at least0.4=

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Answered: A k out of n system is one in which…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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F A system consists of four components connected as shown in the following diagram: A B C D Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10, and 0.20, respectively, what is the probability that the system functions?
In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000 users of Brand B, and 50,000 who use neither brand. During any month, a Brand A user has a 20% probability of switching to Brand B and a 5% probability of not using either brand. A Brand B user has a 15% probability of switching to Brand A and a 10% probability of not using either brand. A nonuser has a 10% probability of purchasing Brand A and a 15% probability of purchasing Brand B. How many people will be in each group (a) in 1 month, (b) in 2 months, and (c) in 18 months?
A person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.16 of winning $$12, for a net gain of $$6 (the net gain is the amount won 12 minus the cost of playing 6).Each player has a probability of 0.84 of losing the game, for a net loss of $$6 (the net loss is simply the cost of playing since nothing else is lost).What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.
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A person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.1 of winning $$11, for a net gain of $$5 (the net gain is the amount won 11 minus the cost of playing 6).Each player has a probability of 0.9 of losing the game, for a net loss of $$6 (the net loss is simply the cost of playing since nothing else is lost).What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.Expected Value = $
A system has six components connected as shown in the following diagram: B A D Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F function are .95, .90, .97, .94, .92, and .93 respectively, what is the probability that the system fails?
07. A communications system consists of n components, each of which will, independently. function with probability p. The total system will be able to operate effectively if at least one- half of its components function. For what values of p is a 3-component system more likely to operate effectively than a 2-component system?
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A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.8, 0.9, 0.8, 0.9, and 0.7 respectively, what is the probability that the system fails? 0.8 0.9 B 0.8 0.9 0.7 C E A. 3.
A system has six components connected as shown in the following diagram: A Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F fail are 0.01, 0.05, 0.02, 0.08, 0.10, and 0.05 respectively, what is the probability that the system fails?
Becky 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. 10
A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.50, 0.65, 0.75, 0.95, and 0.80 respectively, what is the probability that the system fails?

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