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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