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Suppose that the probability p of success on any trail of a binomial distribution equals 0.90. Then for which of the following number of trials, n, would the normal distribution provide a good approximation to the binomial distribution?
A) 25
B) 35
C) 45
D) 55
E) 65
Binomial Distribution
A probability distribution that describes the number of successes in a fixed number of independent experiments, each with the same probability of success.
Normal Distribution
A bell-shaped curve that represents the distribution of many types of data where most values cluster around a central mean and probabilities for values taper off equally in both directions.
Probability of Success
The likelihood that an action, experiment, or event will produce a desired outcome, often used in the context of statistical experiments.
- Identify the conditions where the normal approximation to the binomial distribution proves to be relevant.
- Grasp the necessity of sample size in facilitating the approximation of binomial distributions to normal distributions.
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Learning Objectives
- Identify the conditions where the normal approximation to the binomial distribution proves to be relevant.
- Grasp the necessity of sample size in facilitating the approximation of binomial distributions to normal distributions.
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