An interesting theory is that dying people have some ability to postpone their death to survive a major holiday. One study involved the analysis of deaths during the time period spanning from the week before Thanksgiving to the week after Thanksgiving. (See “Holidays, Birthdays, and the Postponement of Cancer Death,” by Young and Hade, Journal of the American Medical Association, Vol. 292, No. 24.) Assume that n = 8 such deaths are randomly selected from those that occurred during the time period spanning from the week before Thanksgiving to the week after, and also assume that dying people have no ability to postpone death, so the probability that a death occurred the week before Thanksgiving is p = 0.5. Construct a table describing the probability distribution, where the random variable x is the number of the deaths (among 8) that occurred the week before Thanksgiving. Express all of the probabilities with three decimal places.