Random Variable said:Let Y= X1 + X2
then we want the probability that Y=5
P(Y=5) = P(X1=2 , X2=3) + P(X1=3 , X2=3)
and since X1 and X2 are independent
P(Y=5) = P(X1=2)*P(X2=3) + P(X1=3)*P(X2=2)
and then just find the probabilites from the given probability distribution function
Probability is the likelihood of a certain event occurring, while random variables are variables that can take on different values depending on the outcome of an experiment or event.
To calculate the probability of a random variable, you need to first determine the possible outcomes and their associated probabilities. Then, you can use the formula P(X = x) = probability of x to calculate the probability of a specific value of the random variable.
Random variables allow us to mathematically model and analyze real-world situations that involve uncertainty. This helps us make predictions and decisions based on the likelihood of different outcomes.
No, a probability cannot be negative. However, a random variable can take on negative values, but the probability of those values must be greater than or equal to 0.
The expected value of a random variable represents the average value that is expected to be obtained in repeated trials of an experiment. It is calculated by multiplying each possible value of the random variable by its probability and summing the results.