Question

The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than 368 Americans support the bill.

Answer 1

Right of X = 368.5

Explanation:

By using the normal approximation to the Binomial random variable, we normally make use of continuity correction.

Using the rule of continuity;

P(X > K) turn out to be P(X > K + 0.5)

To determine the required probability:

∴

P(X > K) turn out to be P(X > K + 0.5)

P(X > 635) turn out to be P(X > 368 + 0.5)

⇒ P(X > 368.5) to the right.

Right of X = 368.5