A local hot dog eating contest allows contestants 5 minutes to eat as many hot dogs as possible. It is known that contestants, on average, eat 6 hot dogs with a standard deviation of 3.7 hot dogs.

It is known that the distribution of the number of hot dogs eaten does not have any outliers, but is not normally distributed. Is this problematic when computing the probability in part a)?

multiple choice

a Yes, this probability cannot be approximated accurately unless the data is normally distributed

b No, the individual observations are approximately normal due to the central limit theorem

c No, the sample mean is approximately normal due to the central limit theorem

d No, the individual observations are approximately normal due to the law of large numbers

e No, the sample mean is approximately normal due to the law of large numbers