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Concept explainers
a.
To show that the probability distribution is valid
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 9PPS
The distribution of the probability is valid.
Explanation of Solution
Given information:
Probability distribution for grade A is 0.29
Probability distribution for grade B is 0.43
Probability distribution for grade C is 0.17
Probability distribution for grade D is 0.11
Probability distribution for grade F is 0
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 (0.29+0.45+0.17+0.11+0) is equal to 1
Therefore, the distribution of the probability is valid.
b.
To calculate:
The probability that a randomly chosen student has no higher than grade B
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 9PPS
The probabilityfor a randomly chosen student have got not more than grade B is
Explanation of Solution
Given information:
Probability distribution for grade A is 0.29
Probability distribution for grade B is 0.43
Probability distribution for grade C is 0.17
Probability distribution for grade D is 0.11
Probability distribution for grade F is 0
Calculation:
Probability for a randomly chosen student have grade not more than B can be calculated when the sum of grade B, C, D, F is divided by total number of probability given,
Therefore, the probability for a randomly chosen student have got not more than grade B is
c.
To graph:
The probability distribution of algebra test grades
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
Probability distribution for grade A is 0.29
Probability distribution for grade B is 0.43
Probability distribution for grade C is 0.17
Probability distribution for grade D is 0.11
Probability distribution for grade F is 0
Graph:
Interpretation:
The graph for the probability distribution for algebra test grades can obtained by using the data from the probability distribution table. The given data is plotted in the bar graph
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