A consumer survey indicates that the average household spends μ = $185 on groceries each week. The distribution of spending amounts is approximately normal with a standard deviation of σ = $25. Based on this distribution,
a. What proportion of the population spends more than $200 per week on groceries?
b. What is the probability of randomly selecting a family that spends less than $150 per week on groceries?
c. How much money do you need to spend on groceries each week to be in the top 20% of the distribution?