Find lhe area of the shaded region under the standard normal curve. a Click here to View the standard normal table. 2=1.96 .09 The area of the shaded region is I]. (Round to four decimal places as needed.) Use the confidence interval to find the margin of error and the sample mean. (0.592,0.710) The margin of error is 0.651 The sample mean is 0.059Determine the required value of the missing probability to make X P(x) the distribution a discrete probability distribution. 3 0.29 4 ? 5 0.47 6 0.05 P(4) = 10.17 (Type an integer or a decimal.)Find the equation of the regression line for the given data. Then consthct a scatter plot of the data and draw the regression line. (The pair of variables have a signicant correlation} Then use the regression equation to predict the value of yr for each of the given xvalues. if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 1 2 2 3 5 6 E: (a) K = 2 hours {b} X = 2.5 hours est score, 1; 39 43 51 4B 84 58 (c) x = 14 hours (d) x = 4.5 hours Find the regression equation. mum) (Round the slope to three decimal places as needed. Round the yintercept to two decimal places as needed.)