Calculating Binomial Distribution with a Calculator

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Homework Help Overview

The discussion revolves around calculating a binomial distribution using a calculator, specifically focusing on the expression involving factorials and probabilities. The original poster expresses confusion regarding the calculation of 15! and its implications for finding the correct answer.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the potential issues with calculator accuracy when dealing with large numbers and suggest simplifications to avoid direct computation of large factorials. There is also mention of verifying the correctness of the final answer.

Discussion Status

The conversation has progressed with some participants providing guidance on simplification techniques, while others reflect on their initial calculations and the resulting answers. There is an indication of improvement in understanding, but no explicit consensus on the method used.

Contextual Notes

Participants are navigating the constraints of calculator limitations and the complexity of factorial calculations, with some confusion about the accuracy of their results. The original poster's goal is to arrive at the correct probability value.

domyy
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Homework Statement



Hello, I am trying to calculate the following:

15!/(1!)(14!) x (0.80)^14 x (0.2)^1

I understand the problem as I have already put the numbers together. My trouble is actually using the calculator to find the answer. When I try to find 15! = 1.307674368^12

I am confused about this.

The answer for the problem should be 0.132.
 
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Using the calculator that way might go wrong if the numbers get too big for the calculator to maintain 100% accuracy. There really is no need to calculate 15!. There's an easy simplification available.
 
But there's answer available for the problem. My answer at first was 0.00132.

But it should be 0.132
 
Last edited:
Without your calculator, on a sheet of paper write down ##\frac{15!}{14!}## writing out the factorials. It simplifies.
 
THANKS! Now, I got the right answer!
 

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