SOLUTION: Determine the probability distribution for a number chosen randomly between the integer values 10 and 15, inclusive, then display the probabilities in a bar graph
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Question 1197876: Determine the probability distribution for a number chosen randomly between the integer values 10 and 15, inclusive, then display the probabilities in a bar graph
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!
Set A = integer values between 10 and 15, inclusive
A = {10,11,12,13,14,15}
There are 15-10+1 = 6 items in set A
If each item has equal probaility of being chosen, then each has probaility 1/6. Think of rolling a die. For more information, check out "discrete uniform distribution".
This is what the probaility distribution looks like in tabular form.
X | P(X) |
10 | 1/6 |
11 | 1/6 |
12 | 1/6 |
13 | 1/6 |
14 | 1/6 |
15 | 1/6 |
The bar graph will have 6 bars each of identical height 1/6.
The x axis labels will be 10,11,12,13,14,15 to represent the 6 bars.
The y axis is the probaility (the taller the bar, the more likely the event will happen).
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