# Question: Why do we need a correction for continuity when approximating

Why do we need a correction for continuity when approximating a binomial probability with the normal distribution?

## Answer to relevant Questions

Assume that x is a binomial random variable with n and p as specified in parts a–f that follows. For which cases would it be appropriate to use a normal distribution to approximate the binomial distribution? a. n = 100, p ...Refer to the Cell (May 14, 2010) study of the ability of a mouse to recognize the odor of a potential predator, Exercise. You learned that 40% of lab mice cells exposed to chemically produced major urinary proteins (Mups) ...In NASCAR races such as the Daytona 500, 43 drivers start the race; however, about 10% of the cars do not finish due to the failure of critical parts. University of Portland professors conducted a study of critical-part ...The random variable x has a normal distribution with μ = 40 and σ2 = 36. Find a value of x, say, x0, such that a. P(x ≥ x0) = .5 b. P(x ≤ x0) = .9911 c. P(x ≤ x0) = .0028 d. P(x ≥ x0) = .0228 e. P(x ≤ x0) = ...On the basis of data from the National Center for Health Statistics, N. Wetzel used the normal distribution to model the length of gestation for pregnant U.S. women (Chance, Spring 2001). Gestation has a mean length of 280 ...Post your question