Probability & Measures of Central Tendency
Solve the following problems showing your work:
In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident?
The data set represents the income levels of the members of a country club. Find the probability that a randomly selected member earns at least $88,000
total, 14 of them at or above $88,000 means the probability is:
In a certain class of students, there are 15 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 6 boys from Glencoe, 2 boys from Kenilworth and 8 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?
Kids from Kenilworth / Total number of kids
(5 + 2) / (15+5+9+6+2+8) = 7/45 = .156
4. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers.
1/5 * 1/5 = 1/25 = .04
5. Of 1936 people who came into a blood bank to give blood, 220 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
220/1936 = .114
Use information from the reference readings as well as any good quality resource you can find. Please cite all sources and provide a reference list at the end of your paper.
The following items will be assessed in particular:
1. Identify the meaning of independent and dependent events.
2. Calculate probabilities and joint probabilities of simple events.
3. Explain the basic logic of probability theory
Solve the following problems showing your work (Measures of Central Tendency)
1. Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age.
(57+62+62+55+66+58+65+50+50)/9 = 58.33
2. A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
36 30 201-180 278-242 310
Find the median number of newspapers sold.
Place the numbers in ascending order: 30, 36, 180, 201, 242, 278, 310
Select the number in the middle of the distribution
201 is the median
3. Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.
52 65-67 51-60 64-68 58-56 Find the Mode
The mode is generally the number that occurs most frequently in a distribution. Each of these ages appears only a single time in the distribution. Therefore, because no number is repeated, there is no mode.
4. The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time.
(3.7+8.2+8.7+6.4+4.6) / 5= 6.32
5. The distances (in miles) driven in the past week by each of a company’s sales representatives are listed below.
45 70 242-268 452-490 640
Find the median distance driven.
The numbers are already in ascending order. The middle number is the median, therefore 268 is the median.
Find the median distance driven.
Lesson on Introduction to Probability. Retrieved November 12, 2008, from http://www.mathgoodies.com/lessons/vol6/intro_probability.html
Additional tutorials on probability, Retrieved November 12, 2008, from http://www.mathgoodies.com/lessons/toc_vol6.html
More Probability, Retrieved November 12, 2008, from http://sci.tamucc.edu/~eyoung/1351/probability.html
Page on Simple, Conditional & Joint Probability, Retrieved November 12, 2008, from http://sci.tamucc.edu/~eyoung/1351/simple_cond_joint.html
Interactive Tutorial on Probability, Retrieved November 12, 2008, from http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i21/bk7_21i1.htm
Introduction to Probability, Retrieved November 12, 2008, from http://davidmlane.com/hyperstat/probability.html
Measurement Page, Retrieved November 12, 2008,, from http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm#Measurement
Tutorial on Measures of Dispersion, Retrieved February 12, 2011, from http://www.mathsrevision.net/gcse/pages.php?page=42
Tutorial on Measures of Dispersion, Retrieved February 12, 2011, from http://www.emathzone.com/tutorials/basic-statistics/examples-of-standard-deviation.html
Tutorial on Measures of Dispersion, Retrieved February 12, 2011, from http://www.physics.csbsju.edu/stats/descriptive2.html
Tutorial on Measures of Dispersion, Retrieved February 12, 2011, from http://easycalculation.com/statistics/learn-standard-deviation.php
Tutorial on Measures of Dispersion, Retrieved February 12, 2011, from http://www.childrens-mercy.org/stats/definitions/stdev.htm
Overview of Measures of Dispersion, Retrieved November 12, 2008, from http://www.unc.edu/~knhighto/econ70/lec2/lec2.htm
Standard Deviation in the Stock Market, Retrieved August 27, 2008, from http://www.trade10.com/standard_deviati.htm
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