It would have been quicker to have found the probability of Y=2 by subtracting the other two probabilities from 1. I don't see any other shortcuts.chwala said:
That's true, but it could pose problem to a student who may have made a mistake on say finding wrong values of ##Y=0 ##& ##Y=4##, ...if you get what I mean... this error would consequently affect the value of ##Y=2##.haruspex said:
A probability distribution is a mathematical function that describes the likelihood of different outcomes occurring in a random experiment. It assigns probabilities to each possible outcome, with the sum of all probabilities equaling 1.
To solve a probability distribution problem, you need to first identify the type of distribution being used (e.g. binomial, normal, Poisson). Then, you can use the appropriate formula or table to calculate the probabilities of different outcomes.
A probability distribution is a function that assigns probabilities to each possible outcome, while a probability density function (PDF) is a function that describes the relative likelihood of each possible outcome in a continuous distribution. In other words, a PDF is the continuous version of a probability distribution.
In probability, expectation refers to the average value that we would expect to obtain from a random experiment if it were repeated many times. It is calculated by multiplying each possible outcome by its respective probability and summing them together.
In decision-making, expectation can be used to determine the best course of action by comparing the expected values of different options. The option with the highest expected value is typically the most favorable choice.