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
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- Question 11 Giving a test to a group of students, the grades and gender are summarized below A Total Male 9. 3 7 19 Female 17 6. 14 37 Total 26 9 21 56 Write all solutions as a decimals rounded to the fourth decimal place. If one student is chosen at random, Find the probability that the student was male: Find the probability that the student was female AND got a "A": Find the probability that the student was male OR got an "A": If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C':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 25 1. The average number of work emails received in a day is 27. Calculate the probability that, in any day, more than 35 emails will be received. 20.00% O 22.86% 80.00% 77.14%
- 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 14 Suppose that 9% of a population is infected with a virus. You test a random sample of 400 members of this population. How many of the people in the sample would you expect to have the virus? Round to one decimal if needed. Submit Question ctor MacBook Air 00 F3 O00 II F8 F2 F4 F5 F6 F7 24 4. %23 & 8 9. #3QUESTION 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 4.2Question 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 oQuestion 14 A package contains 16 resistors, 5 of which are defective. If 6 are selected, The probability of getting all non-defective is The probability of 2 defective and 4 non-defective is Round answer to THREE decimal places.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?