Let x be a binomial random variable with n =50 and π =.3. If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made. To find the probability of more than 15 successes, we should find ___. A) P(x15.5) B) P(x15) C) P(x14.5) D) P(x≤14.5) E) P(x

Question

Let x be a binomial random variable with n =50 and π =.3. If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made. To find the probability of more than 15 successes, we should find ___.
A) P(x>15.5)
B) P(x>15)
C) P(x>14.5)
D) P(x≤14.5)
E) P(x < 15)

Quizplus · Accepted Answer

When using the normal approximation for a binomial distribution, a correction for continuity must be made by adding or subtracting 0.5 to the endpoints of the interval being considered. In this case, we want to find the probability of more than 15 successes. Adding 0.5 to 15 gives us 15.5, so the correct choice is P(x > 15.5).

Let X Be a Binomial Random Variable with N =50