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- Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.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
- For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of failure. Complete parts (a) through (c) below. T.... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, than 0.05. It be unusual to observe two components fail, since the probability that two components fail,, is than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9998? (Type a whole number.) O Time Remaining: 02:29:14 Next Left RahtA 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?In a computer game, different units are created randomly with different levels of range and Aggression according to the table below. Range is how far the unit can attack without moving, and Aggression is used to determine how far a unit will move to attack without direct command. Range Total 1 2 4 5 0.2 0.15 0 0.35 Aggression 3 0.1 0.15 0.1 0.35 0 0 0.05 0.25 0.3 Total 0.3 0.35 0.35 1 Calculate the Expected value of aggression for the units created. (E(Aggression))
- edo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?Two on and off valves are in parallel and act independently. They control the fluid that flows through the pipe. Suppose that valve A has a 60% chance of being off and a 40% chance of being on. Valve B has a 40% chance of being off and a 60% chance of being on. A Determine the probability that fluid flows through the pipe. Choices: 1, 0.76, 0.64, 0.36, 0.24, 0.16 Determine the probability that flue will not flow through the pipe. Choices: 1, 0.76, 0.64, 0.36, 0.24, 0.16Psychologists Erik Erikson suggested that individuals go through eight developmental stages of life. Erikson believed that at stage 8 (age 65 to death), an adult's fear of death can be predicted by the satisfaction they feel when reflecting back on their lives. To investigate, a psychiatrist interviewed a random sample of adults age 65 and older, and scored them on their satisfaction with their lives and their fear of death. The psychiatrist wants to confirm Erikson's theory. What can be concluded with a = 0.01? fear of death satisfied 4 3 4 2 2 10 3 2 4 7 3 4 8. 4 a) Select and compute the appropriate statistic. ---Select--- b) Input the appropriate value(s) to make a decision about Ho. p-value X ; Decision: Fail to reject H0 v c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below.. Effect Size = 0.266 ; Magnitude: na d) Make an interpretation based on the results. More life satisfaction…
- Valve A: 92% Valve B: 94% Valve C: 93%A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair utilizes 30 sq. ft. At least five sofas and at least five chairs are to be displayed. a.Write a mathematical model representing the store's constraints. b.Suppose the profit on sofas is $200 and on chairs is $100. On a given day, the probability that a displayed sofa will be sold is .03 and that a displayed chair will be sold is .05. Mathematically formulate each of the following objectives: (1).Maximize the total pieces of furniture displayed. (2).Maximize the total expected number of daily sales. (3).Maximize the total expected daily profit.