Asked by Mbambo Siyabonga on May 04, 2024
Verified
In general,the binomial probability P(X ≤ x)is approximated by the area under the normal curve to the left of x + .5.
Binomial Probability
Binomial Probability is the probability of observing a specific number of successful outcomes in a fixed number of trials, with each trial having the same probability of success.
Normal Curve
A symmetrical, bell-shaped curve representing the distribution of a set of data that is evenly distributed around the mean.
- Calculate probabilities using the normal distribution as an approximation to the binomial distribution.
Verified Answer
ZK
Zybrea KnightMay 05, 2024
Final Answer :
True
Explanation :
This is known as the continuity correction for approximating a binomial distribution with a normal distribution. The area under the normal curve to the left of x + 0.5 is a good approximation for the probability of getting x or fewer successes in a binomial experiment with n trials and probability of success p, assuming certain conditions are met.
Learning Objectives
- Calculate probabilities using the normal distribution as an approximation to the binomial distribution.
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