Concept explainers
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
- (a) Develop a
probability distribution for the number of possible spots. - (b) Portray the probability distribution graphically.
- (c) What is the sum of the probabilities?
a.
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 spots | Probability |
1 | 0.16667 |
2 | 0.16667 |
3 | 0.16667 |
4 | 0.16667 |
5 | 0.16667 |
6 | 0.16667 |
Total | 1 |
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 spots | Probability |
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
Total | 1 |
Thus, the probability distribution for the number of possible spots is obtained.
b.
Show the probability distribution graphically.
Answer to Problem 1SR
The graph of the probability distribution is as follows:
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.
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:
Therefore, the sum of probabilities is 1.
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Chapter 6 Solutions
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