A box contains 8 balls. Two are numbered 3, four are numbered 4, one is numbered 5, and one is numbered 6. The balls are mixed and one is selected at random. The random variable X is the number of the...

A box contains 8 balls. Two are numbered 3, four are numbered 4, one is numbered 5, and one is numbered 6. The balls are mixed and one is selected at random. The random variableX is the number of the ball. Find the probability distribution forX and calculate the mean. What is the probability that the number of the ball is greater than 3?

Solution in one of these formulas and topics: 1) Concept of event probability. Classical definition of probability, 2) Probability rules. Conditional probability, 3) Formula of total probability. Bayes' formula, 4) Independent experiments. Bernoulli's formula, 5) Discrete random variables. Their numerical characteristics