Determine whether or not a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

a) Genetic Disorder Three males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the three who inherit the X-linked genetic disorder.

x	P (x)
0	0.125
1	0.375
2	0.375
3	0.125

b) Caffeine Nation In the accompanying table, the random variable x represents the number of cups or cans of caffeinated beverages consumed by Americans each day (based on data from the National Sleep Foundation).

x	P (x)
0	0.22
1	0.16
2	0.21
3	0.16

c) Overbooked Flights Air America has a policy of routinely overbooking flights. The random variable x represents the number of passengers who cannot be boarded because there are more passengers than seats (based on data from an IBM research paper by Lawrence, Hong, and Cherrier).

x	P (x)
0	0.051
1	0.141
2	0.274
3	0.331
4	0.187

d) Eye Color Groups of five babies are randomly selected. In each group, the random variable x is the number of babies

with green eyes (based on data from a study by Dr. Sorita Soni at Indiana University). (The symbol denotes a positive probability value that is very small.)

x	P (x)
0	0.528
1	0.360
2	0.098
3	0.013
4	0.001
5	0+

e) American Televisions In the accompanying table, the random variable x represents the number of televisions in a household in the United States (based on data from Frank N. Magid Associates).

x	P (x)
0	0.02
1	0.15
2	0.29
3	0.26
4	0.16
5	0.12

f) TV Ratings In a study of television ratings, groups of 6 U.S. households are randomly selected. In the accompanying table, the random variable x represents the number of households among 6 that are tuned to 60 Minutes during the time that the show is broadcast (based on data from Nielsen Media Research).

x	P (x)
0	0.539
1	0.351
2	0.095
3	0.014
4	0.001
5	0+
6	0+