1. According to a survey, 73% of adults believe that every university student should take at least one course in ethics. Assume that this percentage is true for the current population of adults. a) Find the probability that the number of adults in a random sample of 13 who hold this view is more than 11. b) For 200 randomly selected adults, what is the approximate probability that between 138 and 162, inclusive, believe that every university student should take at least one course in ethics? (Hint: Use Normal approximation to the binomial).

2. The ages of all KPU students follows a normal distribution with mean 27 years and standard deviation 5.9 years. a) Find the probability that a randomly chosen KPU student is younger than 23 years of age. b) Find the age, x, such that only 18% of the students are older than x. c) Find the probability that a randomly chosen sample of 36 KPU students has a mean age between 24 and 29.

3. A researcher wishes to determine how much money per week is spent on groceries in a small

Western city. He wants to be 99% confident that he is within $8 of the true mean. Assume the standard deviation is $17. How large a sample is necessary?