Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 6, Problem 1SR

The possible outcomes of an experiment involving the roll of a six-sided die are a one-spot, a two-spot, a three-spot, a four-spot, a five-spot, and a six-spot

  1. (a) Develop a probability distribution for the number of possible spots.
  2. (b) Portray the probability distribution graphically.
  3. (c) What is the sum of the probabilities?

a.

Expert Solution
Check Mark
To determine

Give a probability distribution for the number of possible spots.

Answer to Problem 1SR

The probability distribution for the number of possible spots is as follows:

Number of spotsProbability
10.16667
20.16667
30.16667
40.16667
50.16667
60.16667
Total1

Explanation of Solution

The outcomes of the experiment are one-spot, two-spot, three-spot, four-spot, five-spot, and six-pot. Thus, there are 6 possible outcomes. The experiment involves the roll of six-sided die. Hence, each outcome has probability of one-sixth.

The probability distribution for the number of possible spots is as follows:

Number of spotsProbability
116=0.16667
216=0.16667
316=0.16667
416=0.16667
516=0.16667
616=0.16667
Total1

Thus, the probability distribution for the number of possible spots is obtained.

b.

Expert Solution
Check Mark
To determine

Show the probability distribution graphically.

Answer to Problem 1SR

The graph of the probability distribution is as follows:

Statistical Techniques in Business and Economics, Chapter 6, Problem 1SR

Explanation of Solution

Step-by-step procedure to plot probability distribution graph using EXCEL:

  • Enter the probability values in a column.
  • Select the data and go to Insert.
  • In Charts, select 2-D Column.

Thus, the probability distribution graph is obtained.

c.

Expert Solution
Check Mark
To determine

Calculate the sum of the probabilities.

Answer to Problem 1SR

The sum of probabilities is 1.

Explanation of Solution

The sum of probabilities is calculated as follows:

Sumofprobabilities=16+16+16+16+16+16=66=1

Therefore, the sum of probabilities is 1.

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Chapter 6 Solutions

Statistical Techniques in Business and Economics

Ch. 6 - Ninety-five percent of the employees at the J. M....Ch. 6 - In a binomial situation, n = 4 and = .25....Ch. 6 - Prob. 10ECh. 6 - Prob. 11ECh. 6 - Assume a binomial distribution where n = 5 and =...Ch. 6 - An American Society of Investors survey found 30%...Ch. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - FILE A telemarketer makes six phone calls per hour...Ch. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 4SRCh. 6 - Prob. 19ECh. 6 - In a binomial distribution, n = 12 and = .60....Ch. 6 - FILE In a recent study, 90% of the homes in the...Ch. 6 - FILE A manufacturer of window frames knows from...Ch. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 5SRCh. 6 - Prob. 25ECh. 6 - A population consists of 15 items, 10 of which are...Ch. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Prob. 29ECh. 6 - Prob. 30ECh. 6 - Prob. 6SRCh. 6 - Prob. 31ECh. 6 - Prob. 32ECh. 6 - Prob. 33ECh. 6 - Automobiles arrive at the Elkhart exit of the...Ch. 6 - It is estimated that 0.5% of the callers to the...Ch. 6 - Prob. 36ECh. 6 - Prob. 37CECh. 6 - For each of the following indicate whether the...Ch. 6 - Prob. 39CECh. 6 - Prob. 40CECh. 6 - Prob. 41CECh. 6 - The payouts for the Powerball lottery and their...Ch. 6 - In a recent study, 35% of people surveyed...Ch. 6 - Prob. 44CECh. 6 - An auditor for Health Maintenance Services of...Ch. 6 - Prob. 46CECh. 6 - Prob. 47CECh. 6 - The Bank of Hawaii reports that 7% of its credit...Ch. 6 - Prob. 49CECh. 6 - Prob. 50CECh. 6 - Prob. 51CECh. 6 - Prob. 52CECh. 6 - Prob. 53CECh. 6 - Prob. 54CECh. 6 - Prob. 55CECh. 6 - Prob. 56CECh. 6 - Prob. 57CECh. 6 - Prob. 58CECh. 6 - Prob. 59CECh. 6 - Prob. 60CECh. 6 - Prob. 61CECh. 6 - Prob. 62CECh. 6 - Prob. 63CECh. 6 - Prob. 64CECh. 6 - The National Aeronautics and Space Administration...Ch. 6 - Prob. 66CECh. 6 - Prob. 67CECh. 6 - Prob. 68CECh. 6 - Prob. 69CECh. 6 - Prob. 70DACh. 6 - Prob. 71DA
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