Question

use the correction for continuity and determine the normal probability statement that corresponds to the binomial probability statement. binomial probability ( p(xleq108) ) which of the following is the normal probability statement that corresponds to the binomial probability statement? ( \bigcirc a. p(xgeq108.5) ) ( \bigcirc b. p(xleq108.5) ) ( \bigcirc c. p(xgeq107.5) ) ( \bigcirc d. p(xleq107.5) )

Explanation:

Step1: Understand continuity correction

When approximating a binomial distribution \(P(X\leq n)\) with a normal distribution, we use the continuity correction. For \(P(X\leq n)\), we adjust to \(P(X\leq n + 0.5)\) in the normal approximation.
Here \(n = 108\), so we adjust to \(n+0.5=108 + 0.5=108.5\)

Answer:

B. \(P(x\leq108.5)\)