Missy said:Classify the following as discrete or continuous random variables.
(A) The number of people in India
(B) The time it takes to overhaul an engine
(C) The blood pressures of patients admitted to a hospital in one day
(D) The length of a centipede
Discrete random variables take on a countable number of distinct values, while continuous random variables can take on any value within a given range. For example, the number of children in a family is a discrete random variable, while the height of a person is a continuous random variable.
For discrete random variables, probabilities are calculated by determining the number of possible outcomes in a given event and dividing it by the total number of possible outcomes. This can be represented as P(event) = number of favorable outcomes / total number of outcomes.
No, a variable can only be classified as either discrete or continuous. It cannot be both at the same time.
The probability distribution for a continuous random variable is represented by a probability density function (PDF). This function describes the likelihood of obtaining a particular value from the continuous random variable.
Cumulative probabilities for continuous random variables are calculated by integrating the probability density function over a given range of values. This represents the probability of obtaining a value equal to or less than a given value.