Problem 2BSC

Continuity Correction In a preliminary test of the MicroSort method of gender selection, 14 couples were treated and 13 of them had baby girls. If we plan to use the normal approximation to the binomial distribution for finding the probability of exactly 13 girls (assuming that the probability of a girl is 0.5), what is the continuity correction, and how would it be applied in finding that probability?

Answer:

Step 1 of 1

The continuity correction is made to a discrete whole number x in the binomial distribution (because the normal distribution is continuous and not discrete) by representing the number x by the interval x - 0.5 to x + 0.5.

The discrete whole number 13 will be represented by the interval

13 - 0.5 = 12.5 to 13 + 0.5 = 13.5.