The mean number of insect fragments in 225 gram chocolate bars was 14.4, but 3 brands had insect contamination more than twice the average. Assume the number of fragments (contaminants) follows a Poisson distribution.
A. If you consume a 225 gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
B. Suppose you consume a bar the is 1/5 the size tested (45 grams) from a brand at the mean contamination level. What is the probabliity of no insect contaminants?
C. If you consume 7 28.35 gram (1 ounce) bars this week from a brand at the mean contamination level, what is the probability that you cosume one or more insect fragments in more than one bar?
D. Is the probability of a test result more than twice the mean of 14.4 unusual, or can it be considered typical variation. Explain.