# Question: The joint probability distribution of the weekly demand for two

The joint probability distribution of the weekly demand for two brands of diet soda is provided in the file S04_29.xlsx. In particular, let D1 and D2 represent the weekly demand (in hundreds of two-liter bottles) for brand 1 and brand 2, respectively, in a small town in central Indiana.

a. Find the mean and standard deviation of this community’s weekly demand for each brand of diet soda.

b. What is the probability that the weekly demand for each brand will be at least one standard deviation above its mean?

c. What is the probability that at least one of the two weekly demands will be at least one standard deviation above its mean?

d. What is the correlation between the weekly demands for these two brands of diet soda? What does this measure of association tell you about the relationship between these two products?

a. Find the mean and standard deviation of this community’s weekly demand for each brand of diet soda.

b. What is the probability that the weekly demand for each brand will be at least one standard deviation above its mean?

c. What is the probability that at least one of the two weekly demands will be at least one standard deviation above its mean?

d. What is the correlation between the weekly demands for these two brands of diet soda? What does this measure of association tell you about the relationship between these two products?

## Answer to relevant Questions

A local pharmacy has two checkout stations available to its customers: a regular checkout station and an express checkout station. Customers with six or fewer items are assumed to join the express line. Let X and Y be the ...A sporting goods store sells two competing brands of exercise bicycles. Let X1 and X2 be the numbers of the two brands sold on a typical day at this store. Based on available historical data, the conditional probability ...Let X be the number of defective items found by a quality inspector in a random batch of 15 items from a particular manufacturing process. The probability distribution of X is provided in the file S04_18.xlsx. This firm ...A supermarket chain operates five stores of varying sizes in Bloomington, Indiana. Profits (represented as a percentage of sales volume) earned by these five stores are 2.75%, 3%, 3.5%, 4.25%, and 5%, respectively. The means ...Consider the probability distribution of the weekly demand for copier paper (in hundreds of reams) used in a corporation’s duplicating center, as shown in the file S04_58.xlsx.a. Use simulation to generate 500 values of ...Post your question