Concept explainers
a.
To show that the probability distribution is valid
a.
Answer to Problem 10PPS
The distribution of the probability is valid.
Explanation of Solution
Given information:
The probability distribution of bike is 17% or 0.17
The probability distribution of skateboards is 12% or 0.18
The probability distribution of inline skates is 24% or 0.24
The probability distribution of bike and skateboard is 12% or 0.12
The probability distribution of skate boards and inline skates is 15% or 0.15
The probability distribution of bikes and inline skates is 10 or 0.1
The probability distribution of all is 4% or 0.04
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.
b.
To calculate:
The probability that a randomly chosen park allows bikes or skate boards
b.
Answer to Problem 10PPS
The probability for randomly chosen park allows bike or skate board is
Explanation of Solution
Given information:
The probability distribution of bike is 17% or 0.17
The probability distribution of skateboards is 12% or 0.18
The probability distribution of inline skates is 24% or 0.24
The probability distribution of bike and skateboard is 12% or 0.12
The probability distribution of skate boards and inline skates is 15% or 0.15
The probability distribution of bikes and inline skates is 10 or 0.1
The probability distribution of all is 4% or 0.04
Calculation:
Probability for a randomly chosen park allows bikes or skate boards can be calculated when its sum is formed,
Total number of equipment =3
Probability of only bike=
Probability of only skate board =
Probability of bike or skate board =
Therefore, the probability for a randomly chosen park allows bikes or skate boards is
c.
To graph:
The probability distribution of skate parks
c.
Explanation of Solution
Given information:
The probability distribution of bike is 17% or 0.17
The probability distribution of skateboards is 12% or 0.18
The probability distribution of inline skates is 24% or 0.24
The probability distribution of bike and skateboard is 12% or 0.12
The probability distribution of skate boards and inline skates is 15% or 0.15
The probability distribution of bikes and inline skates is 10 or 0.1
The probability distribution of all is 4% or 0.04
Graph:
Interpretation:
The graph for the probability distribution for skate parks can obtained by using the data from the probability distribution table. The given data is plotted in the bar graph
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