Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 6 degrees of freedom. Compute P(t≤-1.36). Round your answer to at least three decimal places. P(t≤−1.36)= || (b) Consider a t distribution with 2 degrees of freedom. Find the value of c such that P(-c
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- Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 18 degrees of freedom. Compute P(ts-1.09). Round your answer to at least three decimal places. P(1<-1.09) = [] (b) Consider a t distribution with 15 degrees of freedom. Find the value of c such that P(-cShow Consider the following hypothetical situation. Grade data indicat4es that on the average 27% of the students in senior engineering classes have received A grades. From past data we have measured a standard deviation of 15%. We would like to model the proportion X of A grades with a beta distribution. a. Please also provide the values of theparameters. b. Use the distribution in (a) to find the probability that more than 32% of the students had an A.Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 120 pounds and a standard deviation of 39.9 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. H = o: = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. OA. O B. Oc. OD. -110.6 9.4 129.4 101.2 120 138.8 -350.6 9.4 369.4 91.8 120 148.2 Click to select your answer(s). P Type here to search 11:24 AM 2/1/2021 Home EndUse the calculator provided to solve the following problems. • Consider a t distribution with 13 degrees of freedom. Compute P(121.66) Round your answer to at least three decimal places. 圖 • Consider at distribution with 21 degrees of freedom. Find the value of such that P(-cSuppose that follows a chi-square distribution with 18 degrees of freedom. Use the ALEKS calculator to answer the following. (a) Compute P(12≤ x² ≤23). Round your answer to at least three decimal places. P(12Below are some frequency distribution data that were collected from a recent experiment that looks at musicians and their ability to improvise. Let’s say for the sake of this example that these are continuous data. X is the number of years playing piano, and f is the frequency reported. X f7 66 55 54 53 12 21 00 2 a. Compute the median number of years that participants reported playing the piano without using a formula.Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 8 degrees of freedom. Compute P(12-1.18). Round your answer to at least three decimal places. P((2-1.18)= 0 (b) Consider at distribution with 28 degrees of freedom. Find the value of c such that P(-cUse the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 22 degrees of freedom. Compute P(-1.35The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X N( b. Find the probability that a randomly selected fat calorie percent is more than 40. c. Find the minimum number for the lower quarter of percent of fat calories.Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 14 degrees of freedom. ? Compute P(ts-1.38). Round your answer to at least three decimal places. P(1<-1.38)= [] (b) Consider a t distribution with 9 degrees of freedom. Find the value of e such that P(-eLet Xbe normally distributed with mean u=2.5 and standard deviation o = 1.8. [You may find it useful to reference the z table.] a. Find PX> 6.5). (Round your final answer to 4 decimal places.) P(X>6.5) b. Find A5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) b. Find P5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) d. Find x such that P(xs Xs 2.5) = 0.1255. (Negative value should be indicated by a minus sign. Round your final answer to 3 decimal places.)The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/20 where x goes between 1 and 21 minutes. Round answers to 4 decimal places when possible. a. This is a Select an answer distribution. b. It is a Select an answer v distribution. c. The mean of this distribution is d. The standard deviation is e. Find the probability that the time will be at most 13 minutes. f. Find the probability that the time will be between 6 and 16 minutes. g. Find the 30th percentile. h. 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