Question

1. (15 pts.) The results of our MIDTERM in MATH 279 are as follows: 75,22,36,34,55,56,27,83,17,58,57,42,58,52,42,82,27.92.52,42,100,83,27,58,52. (a) Find the mean and standard deviation. (b) Display the data in a stem-and-leaf plot. (C) Find the median and quartiles. 2. (14 pts.) Let X denote the number of patients who suffer an infection in a hospital per week with the following probabilities: x 10 1 2 3 f(x) 0.6 0.25 0.1 0.05 Find the following: (a) Cumulative distribution function, F(x); (b) Mean and Variance; (c) P(X = 1.5); (d) P(X < 2.0). 3. (8 pts.) Approximately 1 in every 20 children has a certain disease. A random sample of 100 children is selected. Although the children are sampled without replacement, it is assumed that we are sampling from such a vast population that the selections are virtually independent.) Find the percentage that there are: (a) No sick children? 1 Show all your work to receive credit. Total = 100 pts.

Answer 1

- +27 +58 +52 75+22+36 + - 25 =153.16) 1175-53.16) S: Ex:-) Vn- ..+152-53.1612 24 = 22.601) Leaf [ Stem 2777 46 2 2 2 22 256 7888 op - not Aw - 2 3 3 do © Medion = Middle term Afler arranging - the data in non-descending Oder. 13th no. [52 ] 2. = 34736 =135 P3 = 58475 - 66.5