Problem 2: Exercise 2.92 in the textbook, page 71.Suppose the diagram of an electrical system is as given in the figure. What is the probabilitythat the system works? Assume the components fail independently?0.950.7B0.8C0.9D

To find: The probability that the system works.

Answered: Problem 2: Exercise 2.92 in the…

A First Course in Probability (10th Edition)

10th Edition

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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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Question 4: and materials. Suppose the wires used for a particular project type varies according the provided Wires used to bear mechanical loads or electricity signals come in various sizes table below: Gauge 10 12 14 Copper (C) Iron (I) Steel (S) 0.12 0.09 0.11 Material 0.05 0.15 0.10 0.14 0.18 0.06 a) Calculate the probability that the wire selected to be used in the project is not made from copper. b) Given the wire selected to be used in the project is 10 gauge, what is the probability it is made from steel?
QUESTION 12 David decides to treat his group members to pizza for lunch. He forecasts the consumption pattern of his group members shown in the table below. Total Slices of Pizza Probability of Consumption 80 0.2 100 0.3 120 0.2 140 0.2 160 0.1 (a) Each slice of pizza costs $2. If he runs out of pizza, he has to deal with tired and hungry group members. The associated penalty cost of under ordering is estimated to be $5 per slice short. Leftover slices of pizza are sold to workers from other groups for $0.2 per slice. How many slices should David order? (b) Given the optimal order quantity computed in (a), what is the probability for David to find himself not ordering enough? (C) If David targets at a service level of 95%, what many slices should he order?
QUESTION 3 The Global Business Travel Association (GBTA) reported the domestic airfare for business travel for the current year and the previous flights with their domestic airfares (in $) shown for both years. Suppose GBTA wished to see if the average airfare for the current yea for the previous year at a=.05. Current 328 730 527 424 230 620 Previous 335 738 526 429 230 634 For the hypothesis stated above, what is the P-value? O a. .975 < P-value <.99 O b. .01 < P-value <.025 Oc. None of the answers is correct d. .025 < P-value <,05 e. .05 < P-value <.10 QUESTION 4 Suppose you wish to see if there is a relationship between the price (units=$1000) and the rating (units=10 points) of laptop comput A regression analysis on 12 computers revealed Ex = 16.20, Ex = 24.12, Eyj = 90.00, Eyj = 684.40, and Exjyj = 125.70. Click Save and Submit to save and submit. Click Save All Answers to save all answers. MacBook Air 20 F3 000 F4 $ & 1 2 5 13
Question 9, section 4.2
Question 1 2ndpe Given the probability that "she's up all night 'til the sun" is 0.34, the probability that "she's up all night for good fun" is 0.25, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.07, what's the probability that "she's up all night 'til the sun" OR "she's up all night for good fun"? Round to 2 decimal places as needed.
question 1
Question 1-28 The probability that Juliana will take a particular type of dance class is shown in the chart below. She will definitely take either ballet or jazz, but not both. The probability that she will take jazz on Wednesday night is 27%. If the probability that she will take Ballet is 70%, what is the probability that she will take jazz on Saturday morning? Tuesday Night Ballet Thursday Night Dance Class Saturday morning Jazz Wednesday Night 3% 10% O 27% o o o
Question 4 Suppose that in a population of twins, males (M) and females (F) are equally likely to occur and that the probability that twins are identical is 0. If twins are not identical, their genders are independent (if they are identical, their genders are the same). (i) Show that, ignoring birth order, P(MM) = P(FF) = (1+0)/4 and P(MF) = (1–0)/2. (ii) Suppose that n twins are sampled. It is found that n₁ are MM, n2 are FF, and në are MF, but it is not known which twins are identical. Find the maximum likelihood estimator of 0.
Please solve for all and explain each step
Example 7.40: You set out on a walk with three possible locations, denoted locations 1, 2 and 3. The probabilities of travelling from a specified location to the next are given by Solution. If you know that you started in location 3, what is the probability that you end up at location 1 after two time periods? Using the above equation, we get To solve this we use the equation Xn+1 = AXn. Given that you began in location 3, the initial state vector is and subsequently Exercise X₁ = AX0 Probability = A = = X₂ = AX₁ 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 = Xo 0 0.5 0.2 0.4 0.4 0.6 0.1 0.2 0.5 0.1 ][ Therefore the probability of ending up in location 1 after two time periods is 0.42. 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 1 0.4 0.1 = 0.5 0.4 0.1 0.5 = 0.42 0.27 0.31 Refer to the example above. If you know that you started in location 2, what is the probability that you will end up at location 1 after one time period?
Question 3, section 6.1

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Problem 2: Exercise 2.92 in the textbook, page 71. Suppose the diagram of an electrical system is as given in the figure. What is the probability that the system works? Assume the components fail independently? 0.95 0.7 B 0.8 C 0.9 D