Scotland has been a member of the United Kingdom since the 1707 Act of Union. In a recent poll, 38% of Scots would vote in favor of leaving the U.K. A random sample of 135 Scots was selected. What is the probability that between 50 and 60 of them were in favor of leaving the U.K.?

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Quizplus · Accepted Answer

The probability can be calculated using the normal approximation to the binomial distribution. With p = 0.38 and n = 135, the mean is np = 51.3 and the standard deviation is sqrt(np(1-p)) ≈ 5.7. Using the normal distribution, the probability of having between 50 and 60 is approximately 0.5318.

Scotland Has Been a Member of the United Kingdom Since