Asked by Daniela Lopez on Jul 11, 2024

verifed

Verified

In general, the binomial probability P(X In general, the binomial probability P(X   x) is approximated by the area under the normal curve to the left of x + - .5. x) is approximated by the area under the normal curve to the left of x + - .5.

Normal Curve

A symmetric bell-shaped curve that represents the distribution of many types of data; most values remain near the mean and the frequencies decrease further from the mean.

Binomial Probability

The probability of obtaining a fixed number of successes in a set number of trials in an experiment with two possible outcomes.

Continuity Correction

A correction used in approximating a discrete distribution with a continuous one, especially in hypothesis testing with binomial distributions.

  • Acquire knowledge on the concept of binomial probability and how it is approximated by the normal distribution.
  • Identify the appropriate instances for implementing continuity correction within normal approximation.
verifed

Verified Answer

MZ
myself ZubairJul 11, 2024
Final Answer :
True
Explanation :
This statement is known as the normal approximation to the binomial distribution. When n (sample size) is large and p (probability of success) is not too close to 0 or 1, the binomial distribution can be approximated by a normal distribution. In this case, the probability P(X < x) can be approximated by the area under the normal curve to the left of x + 0.5, where 0.5 is a continuity correction term.