Question

The Normal approximation (with continuity correction) of the probability P(13 < X ≤ 16) is equal to:_________

Answer 1

Answer:

The Normal approximation (with continuity correction) of the probability P(13 < X ≤ 16) is equal to: P(13.5<X<16.5).

Step-by-step explanation:

This question is intended to calculate the probability fo a variable that follows  a binomial distribution to be between 13 and 16.

When approximated to a Normal distribution, a correction for continuity has to be made, because the binomial distribution is a discrete value function and the normal function is a continous value function.

For X>13, it should be rewritten as X>13.5 (it substracts because it does not include 13).

For X≤16, it should be rewritten as X<16.5 (it adds because it includes 16).

The Normal approximation (with continuity correction) of the probability P(13 < X ≤ 16) is equal to: P(13.5<X<16.5).