Unformatted text preview: us random variables
v༇ If Y is a continuous random variable, P(a <Y<b) is the area
under the density curve above the interval between a and b
v༇ Note: All continuous probability distributions assign
probability zero to every individual outcome: P(Y=y) = 0
Recall & compare with discrete case: p( y ) = P (Y = y ) ≠ 0 ∑ p( y ) = 1 Continuous R.V: Mean and Median
v༇ A mode of a density curve is a peak point of the curve. v༇ The median of a density curve is the point that divides the area under the curve in half. v༇ The mean of a density curve is the point at which the curve would balance if made of solid uniform material. Example: Continuous R.V.
Eg. X is the location of the pointer of a spinner Normal Densities
v༇ Bell- shaped, completely speciZie...
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- Fall '07
- Normal Distribution, standard normal curve