Billy purchases one 6-49 lottery ticket every week and keeps track of the number of "matches"" he has on each of his tickets. To be clear, a "match" will occur when a number on his ticket matches a number that appears in the winning combination. A random variable XX that keeps track of the number of matching numbers Billy experiences per week has the probability distribution function with a mean and standard deviation of P(X=x)=(6x)(436x)(496) x=0,1,2,3,4,5,6. E(X)=X=36/49=0.7347 SD(X)=X=0.759980.76 Billy claims that in a year (52 weeks), on average, he manages to have at least one matching number on his 6-49 ticket. What do you think about Billy's claim? Provide a brief commentary about Billy's claim using your current knowledge of statistics and probability theory.