Each of x and y is a real number chosen randomly from the interval (0,1). z is a random variable defined as z = x^{3}*y 1) Find the probability that z is in the interval (.16,.20) 2) Find the probability that z is any decimal whose first digit when written in scientific notation is a 1.Bonus: Find the full probability distribution of the first digit of z.Note: Provide all answers as exact numbers in closed form.