Question

ten percent of the population is left - handed. a class of 100 students is selected. convert the binomial probability ( p(x>12) ) to a normal probability by using the correction for continuity. a. ( p(x<11.5) ) b. ( p(xleq12.5) ) c. ( p(xgeq11.5) ) d. ( p(x>12.5) )

Explanation:

Step1: Apply continuity correction

When converting a binomial probability \(P(X > k)\) to a normal probability, we use the continuity correction. For \(P(X>12)\) (where \(X\) is a binomial random variable), we subtract \(0.5\) from \(12\) because we want to include values just above \(12\) in the normal approximation. So \(P(X > 12)\) is approximated as \(P(X>12 + 0.5)\) for the normal distribution.

Answer:

D. \(P(x > 12.5)\)