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)