A recent study commissioned by the City of New York reported that 40% of the 911 calls made in the city were “inadvertent” (source: nydailynews.com). This amounted to nearly 11,000 false calls per day. Most of these inadvertent calls were classified as “pocket calls”—cell phone calls that occur when a cell phone carried in a caller’s pocket or purse have been accidentally dialed. Assume this same condition still holds and that you take four random 911 calls on a given day. Defining “number of inadvertent calls” as your random variable,

a. Sow all the possible values for the random variable.

b. Show the full probability distribution by assigning appropriate probabilities to all possible values of the random variable.