Social Science Statistics

 Part I: Use the information in the reading assignment to complete these questions.

  1. What notation is used to denote the probability of an event occurring?

P(X)

  1. Please state and describe the three rules of probability.

1. The probability of an event (X) is a number between 0 and 1
0< P(X)< 1.
This means we can't have less than a zero percent chance of something happening and we can't have more than 100% chance that something will occur.

2. The sum of the probabilities of all possible outcomes is 1.

3. The probability that an event does not occur is one minus the probability that it does occur.

  1. What does it mean to be random?

In statistics Random Event: an event that is unpredictable in the short term but has a regular pattern in a large number of repititions.

*When something is random, we can be sure that it follows a long-term pattern. This long-term pattern is called its probability distribution. However, what makes “randomness” interesting is that despite knowing the long-term pattern, or how often something will occur over time, we still never know what the outcome of the next experiment will be.

  1. Which probability implies an event is certain to happen? Or, certain to not happen?

Rule 2 (Complement Rule) A probability of 1 implies an event is certain to happen. A probability of 0 implies it is impossible to happen, or certain to not happen.


Brainology

>Your brain changes, grows, gets stronger and larger when you practice and learn new things (much like muscles when you exercise).
>...even old animals got smarter and developed more connections in their brain when they got the chance to play with new toys and other animals.

Part II: You will fill this part out during your Group Preparation session.

  1. With an eight-sided die, what is the probability of rolling a number greater than five?

  2. With an eight-sided die, what is the probability of NOT rolling a number greater than five?

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