Think of the Situation of Rolling Two Dice and Let

question 28

Essay

Think of the situation of rolling two dice and let M denote the sum of the number of dots on the two dice. (So M is a number between 1 and 12.)
(a)In a table, list all of the possible outcomes for the random variable M together with its probability distribution and cumulative probability distribution. Sketch both distributions.
(b)Calculate the expected value and the standard deviation for M.
(c)Looking at the sketch of the probability distribution, you notice that it resembles a normal distribution. Should you be able to use the standard normal distribution to calculate probabilities of events? Why or why not?

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Definitions:

Lawrence Kohlberg

An American psychologist best known for his theory of stages of moral development.

Moral Dilemmas

Situations in which a difficult choice has to be made between two or more actions, each of which entails violating some ethical principle.

Moral Development

The process through which individuals develop proper attitudes and behaviors toward other people in society, based on social and cultural norms, rules, and laws.

Zone of Proximal Development

A concept in developmental psychology referring to the difference between what a learner can do without help and what he or she can achieve with guidance and encouragement from a skilled partner.