Let x be a binomial random variable with n=50 and p=.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

Question

Let x be a binomial random variable with n=50 and p=.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 approximating a binomial distribution with a normal distribution, a continuity correction is applied because the binomial distribution is discrete while the normal distribution is continuous. For "more than 15 successes," we adjust to P(x > 15.5) to account for the fact that in a discrete distribution, more than 15 includes 16 and above, which starts at 15.5 in a continuous approximation.

Let X Be a Binomial Random Variable with N=50 and P=.3.If