More Info X 1 2 3 4 5 p(x) 0.1 0.4 0.2 0.1 0.2 1.0 1.5 2.0 2.5 3 3.5 4 4.5 5 0 P(x) 0.01 0.08 0.2 0.18 0.16 0.2 0.09 0.04 0.04 Full data set Sample Mean Probability Sample Mean Probability 1,1 1.0 0.01 3,4 3.5 0.02 1,2 1.5 0.04 3,5 4.0 0.04 1,3 2.0 0.02 4.1 2.5 0.01 1,4 2.5 0.01 4,2 3.0 0.04 1,5 3.0 0.02 1.3 3.5 0.02 2,1 1.5 0.04 1.4 4.0 0.01 2,2 2.0 0.16 4.5 4.5 0.02 2,3 2.5 0.08 5,1 3.0 0.02 2,4 3.0 0.04 5,2 3.5 0.08 2,5 3.5 0.08 5.3 4.0 0.04 3,1 2.0 0.02 5.4 4.5 0.02 3,2 2.5 0.08 5,5 5.0 0.04 Print Done Rain comirConsider the population described by the probability distribution shown in the table. The random variable x is observed twice. Find E(x) = . Then use the sampling distribution of x to find the expected value of x. Click the icon to view the table. Find E(X) = H. E(x) = (Round to the nearest tenth as needed.) Find the expected value of x using the sampling distribution of x. E(x) = (Round to the nearest tenth as needed.)An investigation of the ability of a hybrid tomato plant to produce a certain protein found that the amount x of the protein produced in the plant had a mean of 107.7 micrograms per gram of fresh weight with a standard deviation of 7.9. Consider a random sample of n = 63 hybrid tomato plants and let x represent the sample mean amount of the protein produced. Would it be expected to observe a value of x less than 106 micrograms per gram of fresh weight? Explain. Consider an event with a probability less than 0.05 unlikely. Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) O A. It would be expected to observe a value of x less than 106 micrograms per gram of fresh weight because the probability of such an event is which is not unlikely. O B. It would not be expected to observe a value of x less than 106 micrograms per gram of fresh weight because the probability of such an event is which is not unlikely. O C. It would be expected to observe a value of x less than 106 micrograms per gram of fresh weight because the probability of such an event is which is unlikely. O D. It would not be expected to observe a value of x less than 106 micrograms per gram of fresh weight because the probability of such an event is which is unlikely