A survey by the center on education and the workforce at georgetown university found that 70% of full-time college students are working. suppose we randomly sample 5 college students let the random variable be x= number of full-time college students who are working out of the 5 randomly selected students

a) use the binomial table to complete the probability distribution below

2) A survey by the Center on Education and the Workforce at Georgetown University found that 70% of full-time college students are working. Suppose we randomly sample 5 college students. Let the random students. variable X = number of full-time college students who are working out of the 5 randomly selected a) (6 points) Use the Binomial Table to complete the probability distribution below X 0 2 3 4 5 P(X) Use the table to find the following probabilities for parts b & c b) (2 points) P(X 3) (show all work) d) (2 points) Compute the mean of the random variable X (Show all work) e) (4 points) Compute the standard deviation of the random variable X (show all work)