Need to Know- Test #2

Question 1

What are the properties of Probability Distribution for a discrete Random Variable?

Answer 1

• 0 ≤ f(x) ≤ 1 (each probability is between 0 and 1, inclusive [0,1] )
• f(x)= 0 for every x not in the sample space (i.e table 1-5 what is f(x)= 6 (it’s 0) )
• The sum of all the probabilities must be ONE

Question 2

What are the properties of a Binomial Distribution?

Answer 2

• Two mutually exclusive outcomes (success and failure)
• Fixed number of independent trials (n)
• P(success) remains constant from trial to trial (p)

Question 3

What are the Properties of continuous probability distributions?

Answer 3

• Notated as f(x) but f(x) ≠ P(X = x)
• Rather, P(X = a) = 0 for all a
• P(a< X < b) is the area under the curve from a to b
• f(x) ≥ 0 for all values of x
• f(x) = 0 for all x not in the sample set
• The total area under the curve equals ONE