Answer:
FALSE
Step-by-step explanation:
A binomial distribution is a data distribution where there are only 2 possible outcomes A or B.
If probability p is assigned to outcome A, and probability q is assigned to outcome B, then q = 1 - p.
In a binomial distribution, the mean is np, where n is the size of the sample, and the skewness is
[tex]\frac{1-2p}{\sqrt{npq}}[/tex]
As you can see, if p is different to 0.5 a binomial distribution is always skewed, and the skewness is independent of the sample size. Moreover, the sign of the skew only depends on the sign of 1 -2p
In this problem, we could have named:
Event A : The interviewed answered “YES” to the question “Do you start the day with a cereal breakfast?”
Event B: The interviewed answered “NO” to the question “Do you start the day with a cereal breakfast?”
In this case p = 0.8 and the skewness would be negative, so the distribution would be left skewed.
