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Probability Distributions Chapter 6
GOALS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
What is a Probability Distribution? Experiment: Toss a coin three times. Observe the number of heads. The possible results are: zero heads, one head, two heads, and three heads.  What is the probability distribution for the number of heads?
Probability Distribution of Number of Heads Observed in 3 Tosses of a Coin
Characteristics of a Probability Distribution
Random Variables ,[object Object]
EXAMPLE ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Types of Random Variables ,[object Object],[object Object]
Discrete Random Variables - Examples ,[object Object],[object Object],[object Object],[object Object]
Continuous Random Variables - Examples ,[object Object],[object Object],[object Object],[object Object]
Features of a Discrete Distribution ,[object Object],[object Object],[object Object],[object Object]
The Mean of a Probability Distribution ,[object Object],[object Object],[object Object]
The Variance, and Standard Deviation of a Probability Distribution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Mean, Variance, and Standard Deviation of a Probability Distribution - Example ,[object Object]
Mean of a Probability Distribution - Example
Variance and Standard Deviation of a Probability Distribution - Example
Try This: Compute the mean, variance and sd: In a card scratching lottery promo in a department store, the following are the probabilities set by the company for each prize. Prize Amount, x Probability, p(x) P500 0.50 P1000 0.40 P1500 0.08 P2000 0.02

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Stat lesson 5.1 probability distributions

  • 2.
  • 3. What is a Probability Distribution? Experiment: Toss a coin three times. Observe the number of heads. The possible results are: zero heads, one head, two heads, and three heads. What is the probability distribution for the number of heads?
  • 4. Probability Distribution of Number of Heads Observed in 3 Tosses of a Coin
  • 5. Characteristics of a Probability Distribution
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15. Mean of a Probability Distribution - Example
  • 16. Variance and Standard Deviation of a Probability Distribution - Example
  • 17. Try This: Compute the mean, variance and sd: In a card scratching lottery promo in a department store, the following are the probabilities set by the company for each prize. Prize Amount, x Probability, p(x) P500 0.50 P1000 0.40 P1500 0.08 P2000 0.02