Answer all the questions asap

3. Let X be a random variable with the following probability distribution. Find the mean of X. (10 points) X 0 1 2 3 4 P( X = x) 8/27 4/9 2/9 1/27 8/9 4. Find the probability distribution for the number of heads that occur when 4 coins are tossed. (5 points) 5. Find the probability distribution of problem 4. (5 points) 6. From the data below, find the mean and the variance of this probability distribution. (10 points) P(X = x) 0.113 0.418 0.026 0.245 0.151 10 0.047