Asked by
Saniya Hayes
on Nov 27, 2024Verified
Given that X is a binomial random variable, the binomial probability P(X = x) is approximated by the area under a normal curve between:
A) x - 0.5 and 0.0
B) 0.0 and x + 0.5
C) 1 - x and 1 + x
D) x - 0.5 and x + 0.5
E) 0.0 and x + 1
Binomial Random Variable
A type of random variable that takes on a fixed number of possible outcomes, with each outcome having a constant probability of occurrence in each independent trial.
Normal Curve
A symmetric, bell-shaped curve representing the distribution of a set of data where most occurrences take place near the mean and probabilities for values taper off equally on both sides.
Continuity Correction
An adjustment made when approximating a discrete distribution with a continuous distribution.
- Gain insight into the idea of binomial probability and its approximation using the normal distribution.
- Ascertain the correct circumstances for the application of continuity correction in normal approximation.
Verified Answer
JV
Learning Objectives
- Gain insight into the idea of binomial probability and its approximation using the normal distribution.
- Ascertain the correct circumstances for the application of continuity correction in normal approximation.