The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the mean used in the calculation?
A)0.56
B)90
C)45.0
D)50.4
E)106.7

Question

Quizplus · Accepted Answer

The mean ($\mu$) in a binomial distribution is calculated as $n \times p$, where $n$ is the number of trials (in this case, 90 people) and $p$ is the probability of success (preferring Coke over Pepsi, 0.56). Therefore, the mean is $90 \times 0.56 = 50.4$.

The Probability That Someone Will Prefer Coke Over Pepsi Is