Concept explainers
a.
To show that the probability distribution is valid
a.
Answer to Problem 8PPS
The distribution of the probability is valid.
Explanation of Solution
Given information:
Probability of the CDs format is 0.35
Probability of the radio format is 0.31
Probability of the mini-disc format is 0.02
Probability of the MP3 format is 0.11
Probability of the online format is 0.19
Probability of the other format is 0.02
For probability distribution to be valid,
- The probability of each value must be equal to or greater than zero or less than equal to 1
- The addition of probabilities of value must be equal to 1
Here, every value is greater than zero and less than 1 and addition of values (0.35+0.31+0.02+0.11+0.19+0.02) is equal to 1
Therefore, the distribution of the probability is valid.
b.
To calculate:
The probability that a randomly chosen format will be MP3 or online
b.
Answer to Problem 8PPS
The probability for a randomly chosen format is MP3 or online is
Explanation of Solution
Given information:
Probability of the CDs format is 0.35
Probability of the radio format is 0.31
Probability of the mini-disc format is 0.02
Probability of the MP3 format is 0.11
Probability of the online format is 0.19
Probability of the other format is 0.02
Calculation:
Probability for a randomly chosen format is MP3 or online can be calculated when the sum of MP3 and online format is divided by total number of probabilities given,
Therefore, the probability for a randomly chosen format is MP3 or online is
c.
To graph:
The probability distribution of formats for music
c.
Explanation of Solution
Given information:
Probability of the CDs format is 0.35
Probability of the radio format is 0.31
Probability of the mini-disc format is 0.02
Probability of the MP3 format is 0.11
Probability of the online format is 0.19
Probability of the other format is 0.02
Graph:
Interpretation:
The graph for the probability distribution of formats for music can obtained by using the data from the probability distribution table. The given data is plotted in the bar graph
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Algebra 1
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