Concept explainers
a.
To show that the probability distribution is valid
a.
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.
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.
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
Chapter 12 Solutions
Algebra 1
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