Seven students are randomly selected from the students at a 24,000 student college. Thirty percent of the students in the school have a pet dog. The remaining seventy percent of the students do not have a pet dog. Determine the mean and standard deviation for the distribution of the number of dog owners out of the seven randomly selected students. Determine the probability exactly three of the seven students will have a pet dog. Determine the probability at least one of the seven students will have a pet dog.