Binomial Table
Practice Problems
NOTE: Creating the table is one exercise where rounding before you're done calculating will mess you up. In particular, don't round your result for Part B until you've calculated A x B.
Remember, rounding is something you do when you report your result, not during calculations. Click the Right Arrow to begin.
Problem 1
- n = 3
- p = 0.32
(Click Down Arrow for the solution)
| 0 | 1 | 2 | 3 | |
|---|---|---|---|---|
| A = | 1 | 3 | 3 | 1 |
| B = | 0.3144 | 0.1479 | 0.0696 | 0.0327 |
| Total = AxB = | 0.3144 | 0.4439 | 0.2088 | 0.0327 |
(Click Down Arrow to answer questions about the probabilities)
Problem 1
n = 3, p = 0.32
Probability Questions
- What's the probability of getting an odd number (i.e., X = an odd number)?
- What's the probability of getting 2 or more?
- What's the probability of getting 0?
(Click Down Arrow for solutions)
Probability Questions
- What's the probability of getting an odd number (i.e., X = an odd number)?
- prob(X =1 or 3) = 0.4439 + 0.0327 = 0.4766
- Note: I'm okay with using the rounded numbers from the table here.
- What's the probability of getting 2 or more?
- prob(X =2 or 3) = 0.2088 + 0.0327 = 0.2415
- What's the probability of getting 0?
- prob(X =0) = 0.3144
(Click Right Arrow for next problem)
Problem 2
- n = 3
- p = 0.65
(Click Down Arrow for the solution)
| 0 | 1 | 2 | 3 | |
|---|---|---|---|---|
| A = | 1 | 3 | 3 | 1 |
| B = | 0.0428 | 0.0796 | 0.1478 | 0.2746 |
| Total = AxB = | 0.0428 | 0.2388 | 0.4436 | 0.2746 |
(Click Down Arrow for probability questions)
Problem 2
n = 3, p = 0.65
Probability Questions
- What's the probability of getting 3?
- What's the probability of getting less than 3?
- What's the probability of getting 2 or less?
(Click Down Arrow for the solutions)
Probability Questions
- What's the probability of getting 3?
- prob(X=3) = 0.2746
- What's the probability of getting less than 3?
- prob(X=everything but 3) = 1 - 0.2746 = 0.7254
-
What's the probability of getting 2 or less?
- Same as less than 3.
- prob(X=2 or 1 or 0) = 0.7254
(Click Right Arrow for next problem)
Problem 3
- n = 4
- p = 0.53
(Click Down Arrow for Solution)
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| A = | 1 | 4 | 6 | 4 | 1 |
| B = | 0.0487 | 0.0550 | 0.0620 | 0.0699 | 0.0789 |
| Total = | 0.0487 | 0.2201 | 0.3723 | 0.2798 | 0.0789 |
Problem 3
n = 4, p = 0.53
(Click Down Arrow for Probability Questions)
Probability Questions
- What's the probability of getting 2 or 4?
- What's the probability of getting an odd number?
- What's the probability of getting less than 4?
(Click Down Arrow for solutions)
Probability Questions
- What's the probability of getting 2 or 4?
- prob(X = 2 or 4) = 0.3723 + 0.0789 = 0.4512
- What's the probability of getting an odd number?
- prob(X = 1 or 3) = 0.2201 + 0.2798 = 0.4999
- What's the probability of getting less than 4?
- prob(X = everything but 4) = 1 - 0.0789 = 0.9211
(That's all, folks)
Practice Binomial Table Problems
By smilinjoe
Practice Binomial Table Problems
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