Determine whether each of the following is a valid probability distribution.
a)x0123P(x)0.1 0.3 0.4 0.1
b)x5−6100P(x)0.01 0.01 0.01 0.97
c)x1412−713P(x)0.25 0.46 0.04 0.247.7 In a recent census, the number of color televisions per household was recordedNumber of color televisions012345Number of households (thousands)1218 32379 37961 19387 7714 2842
a) Develop the probability distribution of X, the number of color televisions per household. For part (a), draw both the p.m.f. table and the p.m.f. graph.b) Determine the following probabilities.
