Discussion Assignment:

Let’s consider the phrases *at least*__,__ __ at most, less than, more than__. Often when we are looking at probabilities, it is phrases like those which are key to translating a word problem into a probabilistic problem.

Consider the following statement: The probability that Mary (spends __ at least__, spends

*at most**,*spends

__, spends__

*less than*__) 20 minutes per day exercising. Depending on which phrase you chose in parenthesis you end up with a different expression and meaning in terms of probability theory. For instance, P(x≤20)(probability Mary spends__

*more than***at most**20 minutes exercising) means something different from P(x>20)(probability Mary spends

**more than**20 minutes exercising).

Write an expression related to your major for __ each__ of phrases above and label them with the correct mathematical symbol (use my example as a reference, but I encourage creativity here!). Then explain the differences between the four statements i.e., differences between at least, at most, less than, more than.

**My Major for this Assignment is** **Statistics **