Sage-Tips

What are the uses of random variables in daily life with examples?

A typical example of a random variable is the outcome of a coin toss. Consider a probability distribution in which the outcomes of a random event are not equally likely to happen. If random variable, Y, is the number of heads we get from tossing two coins, then Y could be 0, 1, or 2.

What is a real life example of a discrete random variable?

Examples of discrete random variables include:

• The number of eggs that a hen lays in a given day (it can’t be 2.3)
• The number of people going to a given soccer match.
• The number of students that come to class on a given day.
• The number of people in line at McDonald’s on a given day and time.

How important are the concepts of random variables and probability distributions in real life?

Random variables are very important in statistics and probability and a must have if any one is looking forward to understand probability distributions. It’s a function which performs the mapping of the outcomes of a random process to a numeric value. As it is subject to randomness, it takes different values.

What is a real life example of a variable?

A variable is a number that does not have a fixed value. The picture and the list below show some real-life examples, where the value of a variable changes with the change in place and time. The temperature in different places also change. The height of a growing child changes with time.

Which of the following is an example of a discrete distribution?

A discrete probability distribution counts occurrences that have countable or finite outcomes. Common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions. These distributions often involve statistical analyses of “counts” or “how many times” an event occurs.

What real life situations illustrate random variables cite three examples?

10 Examples of Random Variables in Real Life

• Example 1: Number of Items Sold (Discrete)
• Example 2: Number of Customers (Discrete)
• Example 3: Number of Defective Products (Discrete)
• Example 4: Number of Traffic Accidents (Discrete)
• Example 5: Number of Home Runs (Discrete)
• Example 6: Marathon Time (Continuous)

How do you know if two random variables are identically distributed?

If you have two random variables then they are IID (independent identically distributed) if: If they are independent. As explained above independence means the occurrence of one event does not provide any information about the other event. If each random variable shares the same distribution.

What is an example of identically distributed Nonindependent event?

Example of identically distributed nonindependent events Consider an urn with two balls in it, one black and one white. We reach into it and draw out the two balls one after the other, choosing the first one at random (and this of course determines the color of the next ball).

What is an example of a random sample in statistics?

Randomsamples as i.i.d. random variables Random samples Often it’s of interest to estimate some property of a population by taking a random sample. Example: Poll 20 “randomly chosen” voters. Estimate the proportion of all voters voting for Trump by the proportion of the 20 voting for Trump.

What is an example of an independently distributed distribution?

A good example is a succession of throws of a fair coin: The coin has no memory, so all the throws are “independent”. And every throw is 50:50 (heads:tails), so the coin is and stays fair – the distribution from which every throw is drawn, so to speak, is and stays the same: “identically distributed”.