Suppose that past history shows that 60% of college students prefer Coca-Cola. A sample of 10,000 students is to be selected. Which of the following distributions would you use to figure out the probability that at least half of them will prefer Coca-Cola?
A) Uniform distribution
B) Poisson distribution
C) Normal distribution
D) Steady distribution

Question

Quizplus · Accepted Answer

We can use the normal distribution to approximate the binomial distribution in this case, as the sample size is large (n=10,000) and the probability of success is not too close to 0 or 1 (0.6). Using the normal distribution, we can standardize the binomial distribution and calculate the probability of at least half of the sample preferring Coca-Cola.

Suppose That Past History Shows That 60% of College Students