2) Deline the random vanable y - the number of pets a randomly selected student has at a local elementary school. The table gives the probability dietribution for 2 5 Probability 0.29 6.23 0 17 (5] Show that the probably dis buton for ? is vald Explain by among one of from campless sentences Show your work. (3 pamis) (b) Describe the event PCI 2 2) in words by whiting one or more complete sentences. Then find PIV - 3). Show all work. (3 points) (c) Use the complement rule to find the probability that the randomly selected student has at least one pet. Show all work. (3 paints) (d) Make a histogram of the probability distribution. (8 points) Describe its shape. (2 points) (c) Calculate the mean of It, Interpret this in context by writing one or more complete sentences Show all work. (3 points) (n) The standard deviation is 1 236. Interpret this in context by writing one or more complete Bentences. (3 points)