Probability

(a) 7 points Below is a 4 X 4 grid consisting of a total of 16 individual squares. On the right is a picture of a red square stamp. A child is playing with the stamp and and decides to stamp the squares as follows: for every individual square in the grid she rolls a die and if the die is an even number, she stamps that square. Notice that the maximum number of stamps she could make is 16. Depending on how she carries out the stamps, some of the line segments will be colored red. In the example below, she stamped 3 squares and there are 11 line segments that are colored red. Based on the child's game, answer the following: o What is the probability that she stamps exactly 2 squares? e What is the expected number of squares that she stamps? e What is the expected number of line segments that are colored red? 0 Is the number of red line segments a Binomial random variable