The Normal Approximation to the Binomial Distribution (VCE SSCE Mathematical Methods): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
When is the normal approximation to the binomial particularly valuable?
When is the normal approximation to the binomial particularly valuable?
When dealing with large sample sizes
What two parameters determine the shape of a binomial distribution?
What two parameters determine the shape of a binomial distribution?
Number of trials and probability
When is a binomial distribution skewed (asymmetric)?
When is a binomial distribution skewed (asymmetric)?
When is small and is close to 0 or 1
What happens to binomial distributions as increases?
What happens to binomial distributions as increases?
They resemble a bell-shaped curve
What is the mean of the approximating normal distribution?
What is the mean of the approximating normal distribution?
What is the standard deviation of the approximating normal distribution?
What is the standard deviation of the approximating normal distribution?
What value must both and exceed for the normal approximation to be satisfactory?
What value must both and exceed for the normal approximation to be satisfactory?
5
When does the normal approximation work best regarding ?
When does the normal approximation work best regarding ?
When is not too close to 0 or 1
How do the parameters of the approximating normal compare to the original binomial?
How do the parameters of the approximating normal compare to the original binomial?
They are exactly the same
What ensures the binomial distribution is symmetric enough for normal approximation?
What ensures the binomial distribution is symmetric enough for normal approximation?
Both and exceed 5
