For which sample size (n) and population parameter (p) can a normal curve be used to approximate the sampling distribution?
A. n = 15; p = 0.4
B. n = 15; p = 0.3
C. n = 30; p = 0.3
D. n = 30; p= 0.4

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10, n(1 - p) \geq 10[/tex].

For option d, we have that:

np = 30 x 0.4 = 12.

n(1 - p) = 30 x 0.6 = 18.

Hence it is the correct option.

More can be learned about the normal approximation to the binomial distribution at https://brainly.com/question/14424710

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For which sample size (n) and population parameter (p) can a normal curve be used to approximate the sampling distribution? A. n = 15; p = 0.4 B. n = 15; p = 0.3 C. n = 30; p = 0.3 D. n = 30; p= 0.4

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When can we use the normal approximation to the binomial distribution?

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For which sample size (n) and population parameter (p) can a normal curve be used to approximate the sampling distribution?
A. n = 15; p = 0.4
B. n = 15; p = 0.3
C. n = 30; p = 0.3
D. n = 30; p= 0.4