4. (30 points) Amia goes grocery shopping at either Kroeger (K), Busch's (B), or Plum Market...
Problem 16-01 Suppose we are interested in analyzing the market share and customer loyalty for Murphy's Foodliner and Ashley's Supermarket, the only two grocery stores in a small town. We focus on the sequence of shopping trips of one customer and assume that the customer makes one shopping trip each week to either Murphy's Foodliner or Ashley's Supermarket, but not both. Suppose that, as part of a market research study, we collect data from 100 shoppers over a 10-week period....
Suppose we are interested in analyzing the market share and customer loyalty for Murphy's Foodliner and Ashley's Supermarket, the only two grocery stores in a small town. We focus on the sequence of shopping trips of one customer and assume that the customer makes one shopping trip each week to either Murphy's Foodliner or Ashley's Supermarket, but not both. Suppose that, as part of a market research study, we collect data from 100 shoppers over a 10-week period. Suppose further...
Experience has shown that the general mood of Henry may be realistically modeled as a three-state Markov process with the mutually exclusive collectively exhaustive states: State 1: Cheerful State 2: So-so State 3: Glum His mood can change only overnight and the following transition probabilities apply to each night’s trial: 0.0 0.3 0.7 0.3 0.4 0.3 0.6 0.2 0.2 P 1 2 3 1 2 3 Problem 10 Three...
1. (30 points) There are two firms considering introducing a new product to the market. Each firm can either set a high price or low price for its product. If both set a low price the market will be shared between the two firms. In this case, each firm expects to make a profit of $2m. If one firm sets a high price while the other sets a low price, the former is expected to make $1m and the latter...
The probability distribution of random variable X is given below. What is E[X]? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. What is σ2x? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. Let Y = 4X − 5 be a new random variable. What is σ2y? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable...
4 Game Theory II (40 points) Using the following infromation about normal-form game payoff matrix to answer the questions from (a) to (). Tony Confess Silent (4,-1) (3,3) (11) (-14) Confess Jane Silent (a) Identify pure strategy NE. What is the name for this type of game? What is the main issue of this game? (4 points) (b) Suppose this game is repeated infinitely and each time the probability of game end in that game is 1 -g where 0<8<1...
4. + MBasicStat7 12.E.045. My Notes + Ask Your Teacher Spell-checking software catches "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "teh". When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution. Value of x Probability 0 0.05 1 0.15 2 0.29 3 0.25 4 0.26 (a) Is the random variable X discrete or continuous? Why? X...
2. (30 points) You invest $x today at 8% APR compounded annually for 5 years (you invest only once). Your friend also invests some amount at the same time at 8% APR compounded annually for 5 years. However, she invests an additional amount equal to the accumulated interest at the end of each year. You both end up having the same amount at the end of 5 years. In order to achieve this, your initial investment must have been t...
Baking dog treats seems like a straightforward undertaking, and Wanda has never really given much thought to the process she uses. In fact, she produces her dog treats out of her kitchen the same way she did when she first started—one batch, one cookie sheet at a time. She measures and mixes the ingredients in her trusty KitchenAid stand-up mixer, rolls them out on her counter using her mother’s old wooden rolling pin, and then uses cookie cutters to cut...
CASE 5 PANTRY MARKETS Pantry Markets is a medium-sized southeastern grocery chain head- quartered in Tampa, Florida. Sales for the chain have been growing at an average rate of 20% per annum; the chain opened four new stores last year. Although Mr. Carl Royal, president of Pantry Markets, is modest about his achievements, the grocery chain has been increas ingly recognized as a strong competitor in several markets. "In a nutshell," Mr. Royal says, "our marketing strategy over the years...