Normal approximation to binomial distribution

Under what conditions is a normal probability distribution a good approximation for a

discrete binomial distribution?

• np and nq greater than 5

• np and nq less than 5

• μ = np

• continuity correction applied

For which of the binomial distributions listed below is the normal distribution not a reasonable approximation?

• n = 50, p = 0.4

• n = 40, p = 0.12

• n = 75, p = 0.11

• n = 40, p = 0.8

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the mean?

• nq

• np

• n/p

• n/q

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the standard deviation?

• npq

• np

• √np

• √npq

Under what conditions is a normal probability distribution a good approximation for a discrete binomial distribution?

• Binomial test is greater than 10

• Binomial test is greater than or equal to 10

• Binomial test is less than or equal to 10

• Binomial test is less than 10

For which of the binomial distributions listed below is the normal distribution not a reasonable approximation?

• n = 50, p = 0.4

• n = 40, p = 0.12

• n = 75, p = 0.11

• n = 40, p = 0.8

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the mean?

• trials times failure

• trials times success

• success times failure

• screw it, just guess

Tags

CCSS.HSS.ID.A.4

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the standard deviation?

• success times trials

• success times failure

• binomial test

• square root of the binomial test

Tags

CCSS.HSS.ID.A.4

Perform continuity correction for P(X≥4)

• P(X=4.5)

• P(X>5.5)

• $P\left(x\ge3.5\right)$

• P(X>4.5)

Perform continuity correction for P(X≤4)

• $P\left(X\le4.5\right)$

• P(X<5.5)

• P(X<3.5)

• P(X>4.5)