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Statistics Assignment: Data Analysis and Probability Calculations

A problem-solving assignment on statistical data interpretation and probability.

Aiden Campbell
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Statistics Assignment: Data Analysis and Probability Calculations1. A survey of the number of calls received by a sample of Southern Phone Companysubscribers last week revealed the following information.52, 43, 30, 38, 30, 42, 12, 46, 39, 37, 34, 46, 32, 18, 41, 5a) Develop a stem-and-leaf chart.Note: A typical row for the Stem & Leaf plot might looklike 30269. Where, the vertical line is obtained by using “Shift & |\” key. The line isinserted 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.SeeVideos “5_Number_Sysytem” in Videos–Topics In Stat 230.a)The required stem-and-leaf chart is given below;StemLeaf0|51|282|3|00247894|123665|2b)From this chart we can say that the group 30-39 contains most of the values somean, 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 (1stvalue in above chart) = 5, Q1 (4thvalue) = 30, Q2 = middle most value =value between 37 and 38 = 37.5; Q3 (12thvalue) = 42 and Xmax=last value = 52.2.) For the following table, what is the valueof:a)P (A1)=3/10 = 0.3b)P (B1│A2)= 1/3c)P (B2 and A3). Compute this asP (B2)*P (A3│ B2).Rows are B1 & B2: columns are A1, A2& A3.What are the values ofP (B2),P (A3|B2) andP (B2&A3)?In what row and column will you find this answer?(c)Second EventFirst EventA1A2A3TotalB12136B21214Total33410

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