Home Alone is a series of American Christmas family comedy films created by John Hughes. There are 5 Home Alone movies. Below is a probability distribution of the number of Home Alone movies watched by a very large sample of high school students. Number of Home Alone movies wathced 0 1 2 3 4 5
Probability 0.15 0.42 0.32 ? 0.02 0.01

a. Write the event the student has seen 3 Home Alone movies using probability notation. Then find this probability.
b. Explain in words what P( X>=3) means. What is this probability?
c. Make a histogram of the probability distribution. Describe its shape.
d. Calculate and interpret the expected value of X.