Asked by Tiffany Sherrill on May 15, 2024
Verified
Even though the normal probability distribution deals with continuous variables, under certain circumstances, we can use it to approximate various discrete probability distributions. Such use of the normal probability distribution is permissible:
A) in the case of binomial probabilities, when np > 5 and also nq > 5
B) in the case of Poisson probabilities, when> 100
C) in the case of hypergeometric probabilities, when np > 1 and also n1 > 1
D) in all of these
E) in none of these
Normal Probability Distribution
A bell-shaped curve that represents the distribution of many types of naturally occurring data and is defined by its mean and standard deviation.
Discrete Probability Distributions
Probability distributions that characterize the outcomes of experiments with discrete outcomes, specifying the probability of each outcome.
Binomial Probabilities
The probabilities of obtaining a given number of successes in a fixed number of binary trials.
- Identify situations in which the normal approximation can be suitably applied to the binomial distribution.
- Acknowledge the critical role of sample size when emulating binomial distributions with normal distributions.
Verified Answer
Learning Objectives
- Identify situations in which the normal approximation can be suitably applied to the binomial distribution.
- Acknowledge the critical role of sample size when emulating binomial distributions with normal distributions.
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