Continuous Probability Distribution

Lecture 9 Continuous Random Variables

Conversational (Informal or Familiar) style.

Phonostylistic studies of speech provide a valuable data not only for linguistics but also for sociolinguistics, for sociophonetics in particular.

So it is quite evident that in addition to the information we intend to convey

The data obtained, as a result of sociophonetic investigations, enable us to give a coherent account of the relation between …

Continuous Random variable

Random variables that can assume values corresponding to any of the points contained in one or more intervals are called continuous. A continuous random variable takes all values in an interval of numbers. The probability distribution of X is described by a density curve. The probability of any event is the area under the density curve and above the values of X that make up the event.

Figure The probability distribution of a continuous random variable assigns probabilities as area under a density curve.

The probability associated with a particular value of x is equal to 0; that is, P(x=a)=0 and hence

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