Outside the Chart

smithy38

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Joined
Jul 9, 2016
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Problem: Forty-three percent of all registered voters in town are Democrat. If 11 town registered voters are selected at random what is the probability that Fewer than half are Democrat?
Since the chart I have only has P in 5% increments, I approached the problem using an online Binomial Probability Calculator.

Probability of success = 0.43

Successes; has to be less than half of 11 so it represents the probabilities of 0, 1, 2, 3, 4, and 5 added together.

Results were 0 = 0.0021, 1 = 0.0171, 2 = 0.0650, 3 = 0.1462, 4 = 0.221 and 5 = 0.2330
Added together I got the answer: 0.6844

Correct?
 
Problem: Forty-three percent of all registered voters in town are Democrat. If 11 town registered voters are selected at random what is the probability that Fewer than half are Democrat?
Since the chart I have only has P in 5% increments, I approached the problem using an online Binomial Probability Calculator.

Probability of success = 0.43

Successes; has to be less than half of 11 so it represents the probabilities of 0, 1, 2, 3, 4, and 5 added together.

Results were 0 = 0.0021, 1 = 0.0171, 2 = 0.0650, 3 = 0.1462, 4 = 0.221 and 5 = 0.2330
Added together I got the answer: 0.6844

Correct?

I got 0.6834 using binomial cumulative distribution (on a GC). You may have some rounding errors. Your method is correct.
 
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