In: Statistics and Probability
1. Decide if each of the following situations fits the binomial setting. Give reasons for your answer in each case. If x has a binomial distribution, state the values of n and p.
a) A random sample of 100 college students was asked: Do you routinely eat breakfast in the morning? Define x to be the number who respond Yes.
b) Classify the accidents each week into two categories, those involving alcohol and those not involving alcohol. Let x be the number of accidents involving alcohol in a week.
c) A particular type of heart surgery is successful 75% of the time. Five patients (who are not related) get this type of heart surgery. Let x be the number of successful surgeries.