Statistics Assignment: Data Analysis and Probability Calculations

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Statistics Assignment: Data Analysis and Probability Calculations 1. A survey of the number of calls received by a sample of Southern Phone Company subscribers last week revealed the following information. 52, 43, 30, 38, 30, 42, 12, 46, 39, 37, 34, 46, 32, 18, 41, 5 a) Develop a stem - and - leaf chart. Note: A typical row for the Stem & Leaf plot might look like 3  0269. Where, the vertical line is obtained by using “Shift & | \ ” key. The line is inserted at the location of the cursor. b) What basic conclusions can be drawn from this chart? c) Compute the 5 number System for this data set and list Xmin, Q1, Q2, and Q3&Xmax. See Videos “5_Number_Sysytem” in Videos – Topics In Stat 230. a) The required stem - and - leaf chart is given below; Stem Leaf 0 | 5 1 | 28 2 | 3 | 0024789 4 | 12366 5 | 2 b) From this chart we can say that the group 30 - 39 contains most of the values so mean, median is expected to fall in that group. The data shows a little left skewness. It is bimodal. Minimum value is 5 and maximum is 52. c) Xmin (1 st value in above chart) = 5, Q1 (4 th value) = 30, Q2 = middle most value = value between 37 and 38 = 37.5; Q3 (12 th value) = 42 and Xmax=last value = 52. 2.) For the following table, what is the value of: a) P ( A1) = 3/10 = 0.3 b) P ( B1│A2) = 1/3 c) P ( B2 and A3). Compute this as P ( B2)* P ( A3│ B2 ). Rows are B1 & B2: columns are A1, A2 & A3. What are the values of P ( B2 ), P ( A3|B2) and P ( B2&A3)? In what row and column will you find this answer? (c) Second Event First Event A1 A2 A3 Total B1 2 1 3 6 B2 1 2 1 4 Total 3 3 4 10
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