1. A box contains 20 batteries and 6 are known to be defective. You randomly select 4 batteries from this box without replacement. a. Construct the Probability distribution for X where X equals the number of defective batteries selected. Represent as a table and show how you come up with each P(x): b. Determine the Probability of choosing at least one defective battery (meaning your remote still won't work!!): c. Find the mean of this probability distribution