Discrete or Continuous: 4 Random Variables

A) Discrete: The number of people in India(B) Continuous: The time it takes to overhaul an engine(C) Continuous: The blood pressures of patients admitted to a hospital in one day(D) Continuous: The length of a centipedeIn summary, (A) is a discrete random variable, while (B), (C), and (D) are all continuous random variables.
  • #1
Missy1
1
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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
 
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  • #2
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

A discrete random variable is one that can take values from a discrete set (one where each value is some how separated from its neighbours).

A continuous random variable is one that can take any value in some interval of the real line.

So what do you think for A,B,C and D

CB
 

FAQ: Discrete or Continuous: 4 Random Variables

1. What is the difference between discrete and continuous random variables?

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.

2. How are probabilities calculated for discrete random variables?

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.

3. Can a variable be both discrete and continuous?

No, a variable can only be classified as either discrete or continuous. It cannot be both at the same time.

4. What is the probability distribution for a continuous random variable?

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.

5. How are cumulative probabilities calculated for continuous random variables?

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.

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