A Gallup Poll in May 2004 estimated that roughly 70% of U.S. adults are in favor of the death penalty for a person convicted of murder. A random sample of 750 U.S. adults is chosen. Let X be the number of adults (out of 750) who favor the death penalty.The distribution of X is binomial. What are the values of n and p?
Question
A Gallup Poll in May 2004 estimated that roughly 70% of U.S. adults are in favor of the death penalty for a person convicted of murder. A random sample of 750 U.S. adults is chosen. Let X be the number of adults (out of 750) who favor the death penalty.The distribution of X is binomial. What are the values of n and p?
Solution
In this case, the values of n and p are derived from the problem statement.
n represents the size of the sample, which is the number of trials conducted. In this case, n is 750 because that's the number of U.S. adults chosen for the sample.
p represents the probability of success on any given trial. In this case, p is 0.70 (or 70%) because the Gallup Poll estimated that 70% of U.S. adults are in favor of the death penalty.
So, n = 750 and p = 0.70.
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