a) Out of n=10 randomly chosen snow globes, let
The joint distribution of has a multinomial distribution with parameters n=10 trials and probabilities
the joint pmf is given by
Formally the joint pmf of is
b) The probability of getting 3 Nutcracker snow globes, 0 Santa snow globes and 7 Snowman snow globes in a set of 10 snow globes is
The probability of getting 3 Nutcracker snow globes, and 7 Snowman snow globes in a set of 10 snow globes is 0.0033
c) Let indicate the number of Nutcracker snow globes out of 10 randomly selected globes. The marginal pmf of is a Binomial distribution with parameters number of trails, n=10 and probability of success p=0.50
The expected value of is (using the result for Binomial distribution)
The variance of is
Let indicate the number of Snowman snow globes out of 10 randomly selected globes. The marginal pmf of is a Binomial distribution with parameters number of trails, n=10 and probability of success p=0.30
The expected value of is (using the result for Binomial distribution)
The variance of is
The covariance of is (using the standard result of a multinomial distribution)
Now
For any 2 random variables Y, Z and constants a,b we have the following results
The expected value of X is
the variance of X is
A web-based store is stuck with a very large set of three kinds of unsold Christmas...
3. A web-based store is stuck with a very large set of three kinds of unsold Christmas snow globes: Globes with a Nutcracker figurine, globes with a Santa figurine, and globes with a Snowman (see pictures below from left to right). 3. A web-based store is stuck with a very large set of three kinds of unsold Christmas snow globes: Globes with a Nutcracker figurine, globes with a Santa figurine, and globes with a Snowman (se pictures below from left...
Objective: Write a program that implements the Game of Life cellular automata system invented by John Conway. 1. Create two game grids of size at least 50x50. These grid cells can be either Boolean or integer. In the following, I’ll refer to these as gridOne and gridTwo. 2. Set all cells in both grids to false. 3. Start by initializing gridOne. Allow the user to specify two different ways of initializing the grid: 1) by specifying a pattern file to...
I am doing an Arduino Uno project where I made a "Simon says" memory game with 3 neopixel LED strips and 3 - ultrasonics. I have them working independently but I need to combine the code so they work together. Here is what I have: Memory Game #define PLAYER_WAIT_TIME 2000 // The time allowed between button presses - 2s byte sequence[100]; // Storage for the light sequence byte curLen = 0; // Current length of the sequence byte inputCount =...
-We focus on the behavioural consequences of satisfaction that relate to profit Three key behav ioural measures: 1. Customer retention; This is measured as: • Repeat purchase with durables such as cars • Continuity of use with utilities and a v ariety of serv ice prov iders 2. Share of category requirement (SCR) This is the proportion of category spending that goes to a particular brand This applies in repertoire categories such as groceries, hotels and supermarkets 3. Voice •...
As a digital retailer,how does alibaba provide value to Chinese consumers ? whit sets of values are unique to the chinese market? Given that alibaba does not own or distribute any of the merchandise exchanged on its sites, describes what factors had to develop for the company to succeed. Analyze Alibaba's business model relative to all the different forms of digital and online marketing covered in this chapter. Can alibaba succeed in countries outside of China? Why or why not?...
SYNOPSIS The product manager for coffee development at Kraft Canada must decide whether to introduce the company's new line of single-serve coffee pods or to await results from the product's launch in the United States. Key strategic decisions include choosing the target market to focus on and determining the value proposition to emphasize. Important questions are also raised in regard to how the new product should be branded, the flavors to offer, whether Kraft should use traditional distribution channels or...