Concept explainers
a.
To calculate:
The probability that a randomly chosen card is hockey or football
a.
Answer to Problem 12PPS
The probability for a randomly chosen card is hockey or football is
Explanation of Solution
Given information:
The number of baseball card is 53
The number of football card is 27
The number of basketball card is 39
The number of hockey card is 21
Calculation:
The probability for a randomly chosen card is hockey or football can be calculated as,
The sum of hockey and football card is divided by total number of cards
Therefore, the probability for a randomly chosen card is hockey or football is
b.
To calculate:
The probability distribution table for the given data and round it to nearest hundred
b.
Answer to Problem 12PPS
The probability distribution table is,
baseball | 0.38 |
football | 0.19 |
basketball | 0.28 |
hockey | 0.15 |
Explanation of Solution
Given information:
The number of baseball card is 53
The number of football card is 27
The number of basketball card is 39
The number of hockey card is 21
Calculation:
The probability distribution table is made from the given data,
Baseball =
Football =
Basketball =
Hockey =
The probability distribution table is,
baseball | 0.38 |
football | 0.19 |
basketball | 0.28 |
hockey | 0.15 |
c.
To show that the probability distribution is valid
c.
Answer to Problem 12PPS
The distribution of the probability is valid.
Explanation of Solution
Given information:
The number of baseball card is 53
The number of football card is 27
The number of basketball card is 39
The number of hockey card is 21
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
Therefore,
The distribution of the probability is valid.
d.
To graph:
The probability distribution of Joshua’s sport card
d.
Explanation of Solution
Given information:
The number of baseball card is 53
The number of football card is 27
The number of basketball card is 39
The number of hockey card is 21
Graph:
Interpretation:
The graph for the probability distribution of Joshua’s sport card can obtained by using the data from the probability distribution table. The given data is plotted in the bar graph
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