Analyzing Discrete Random Variables

Number of online purchases made in a week.

• Discrete

• Continuous

If you flip one coin and then roll a dice, how many possible outcomes can you get?

• 6
• 12
• 7
• 0

Is this a probability distribution?

• No

• Yes

Is this a probability distribution?

• No

• Yes

What does the p stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

What does the q or (1-p) stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.
• Each trial must be classified as a success or a failure.
• All trials are dependent on each other.
• The number of successes in the trials is counted.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

• Yes

• No, the trials are not identical.

We deal 6 cards from a deck and get 3 spades.  How likely is this?  Is this a Bernoulli trial?

• Yes
• No

Random events with three characteristics: 1. Two outcomes 2. Fixed probability 3. Independence

• Newton's Method

• Bernoulli Trials

• Bayes' Rule

• DeMoivre's Rule