Hi please help me with these questions! It would be great to write down the method step by step. Thank you

A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes. Complete the following table, where the random variable :1: is the sum of the two numbers that come up on the die. En-M -EEEEEE Using the above table, what is P (3 S :1: S 6)? SE a What is the expected value E (1:)? What is the variance V(:L')? What is the standard deviation 0'? The random variable :1: has the following probability distribution: EEEEE- What is the expected value E013)? What is the variance V(:c)? What is the standard deviation 0'? Let :L' be the number of heads when a coin is tossed 3 times. What is the expected value E (at)? What is the variance V012)? What is the standard deviation 0? \f\fThe time t (in hours) required for a new employee to succesfully learn to operate a machine in a manufacturing process is described by the probability function f(t) = [Ch/4 tfor0 St S 4.Whatmustkbe? k Determine the probability that a new employee will learn to operate the machine in less than 2 hours: Determine the probability that a new employee will learn to operate the machine in more than 3 hours