Suppose that X~ N(u, 02) and that P(X 10) = .75 and P(X 0)= 0.25 Find...

   

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Suppose that X~ N(u, 02) and that P(X 10) = .75 and P(X 0)= 0.25 Find the values of u and o2. Following data show MAT361 midterm marks (r) of 40 students: 13.6 15.9 7.8 14.5 35 18.2 1.7 21.4 4.7 18.3 4.9 11 6.9 17.6 12.8 4.2 9.8 20.1 1.9 6 3.6 12.4 14.3 12.2 24.2 20.3 34.7 18.9 18.5 17.4 a. (5 points) Calculate Ex, Ca, and (x-2)2. Show that (x - 2) = Ex - nx. b. (5 points) Compute sample mean, first quartile, median, and third quartile. c. (10 points) Compute variance, standard deviation, inter-quartile range, and coefficient of variation. d. (5 points) Draw a boxplot and comment about the shape of the distribution. e. (5 points) Draw a histogram and comment about the shape of the distribution. Suppose that X~ N(u, 02) and that P(X 10) = .75 and P(X 0)= 0.25 Find the values of u and o2. Following data show MAT361 midterm marks (r) of 40 students: 13.6 15.9 7.8 14.5 35 18.2 1.7 21.4 4.7 18.3 4.9 11 6.9 17.6 12.8 4.2 9.8 20.1 1.9 6 3.6 12.4 14.3 12.2 24.2 20.3 34.7 18.9 18.5 17.4 a. (5 points) Calculate Ex, Ca, and (x-2)2. Show that (x - 2) = Ex - nx. b. (5 points) Compute sample mean, first quartile, median, and third quartile. c. (10 points) Compute variance, standard deviation, inter-quartile range, and coefficient of variation. d. (5 points) Draw a boxplot and comment about the shape of the distribution. e. (5 points) Draw a histogram and comment about the shape of the distribution.