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HERE WE USE PROBABILITY TREE FOR RETRIVE PROBABILITY FROM GIVEN INFORMATION
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- N Safari File Edit View My Dri... 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 V U < 11 C Clems... 31 Clems... M Inbox (... D Two-F... W review -... b Answe... Parents with young children are convinced that supermarkets place high-sugar cereals on shelves that are at eye-level with children. This strategy supposedly increases the likelihood that mom or dad will be forced to silence a whining child by placing the cereal box with the pirate or bunny rabbit on the front in the grocery cart. The data shown below indicate a cereal's shelf location with values 1, 2, or 3 where 1 is the lowest shelf; shelf 2 is the shelf level most likely to be at a child's eye level; and shelf 3 is the highest. Here we are interested in doing an ANOVA with only 1 factor (shelf height) that has 3 levels. Below you find the unstacked data which includes the sugar content and self height. Shelf Location Cereal Sugar Content Cheerios .03 .07 .13 .44 History Bookmarks Window Help ۱۱ وار او اداره گا Corn Flakes Wheaties…A study at the physics laboratory at İstanbul Kültür University is made to examine the defects in an electronic component. The findings reveal that there are four possible types of defect and three types of materials used in those electronic components. The following data have been observed in the laboratory: Material Defect Type Туре I II III IV A 22 45 19 7 B 9 18 8 6 C 16 28 11 10 Test whether the type of defect and type of material are independent from each other or not (Use a significance level of 0.01).5
- A U-shaped component is to be formed from the three parts A, B, and C. See figure below. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thickness of parts B and C is normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. (a) Determin the mean and standard deviation of the lenght of the gap D. (b) What is the propability that the gap D is tess than 5.9mm?2. You operate a polar research station; every morning, you send a radio message indicating which way the wind is blowing. The wind is likely to blow in any of 4 directions, which you indicate with the codewords "000", "110", "101", and "011". Due to the extreme weather, each bit (0 or 1) of the message independently has a chance of being flipped in transit: 1 changed to 0 or vice versa. What is the probability that when you send your message, the recipient receives "111" on their end?Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y. x 8.7 9.2 9.8 8.0 8.3 8.7 y 9.9 18.1 20.2 10.2 11.4 13.1 Complete parts (a) through (e), given Σx = 52.7, Σy = 82.9, Σx2 = 464.95, Σy2 = 1239.27, Σxy = 740.8, and r ≈ 0.909. (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained % (f) Suppose a small city in Oregon has a per capita income of 9.8 thousand dollars. What is the predicted number of M.D.s per 10,000 residents? (Round your answer to two decimal places.)M.D.s per 10,000 residents
- hello! I need help with this problem. Thank you very much!!(Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and C
- see attachedAn instructor has given a short quiz consisting of nvo parts. For a randomly selected student, let X= the number of points earned on the first part and Y= the number of points earned on the second part. Suppose that thejoint pmf of X and Yis given in the accompanying table. a. If the score recorded in the grade book is the total number of points earned on the nvo parts,what isthe expected recorded score E(X + Y)? b. If the maximum of the two scores is recorded,what isthe expected recorded score? A random variable is normally distributed with a mean of m =50 and a standard deviation of <T =5. Sketch a normal curve for the probability density Label the horizontal ax. is with values of 35, 40, 45, 50, 55, 60, and 65. Figure 6.4 shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 35 and 65). What is the probability…Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (Vol. 62, No.4) X 27 44 32 47 23 40 34 52 У 30 19 24 13 29 17 21 14 (a) Construct a scatterplot of the miles per gallon (y) versus the weight of the car (x). (b) Compute the correlation coefficient between the weight of the car and the miles per gallon. Given that i = 37.375, sx = 10.0845, ỹ = 20.875, sy = 6.4017 (if you want to use formula %3D provided in our text book) (c) Compute the least-squares regression line for predicting the miles per gallon from the weight of the car. (d) Suppose a car weight 38 hundreds of pounds, predict the value for y which is the miles per gallon.