A posteriori probability refers to ____. low priority probability a probability value determined before collecting data a probability value determined after collecting data a probability value deduced from reason alone Two events are mutually exclusive if ____. they both cannot occur together the probability of their joint occurrence equals one they are independent the occurrence of one slightly alters the probability of occurrence of the other Exhibit 81 A "hungry" undergraduate student was looking for a way of making some extra money. The student turned to a life of vice gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following questions. Refer to Exhibit 81. The probability of rolling "boxcars" (two sixes) with one roll of a pair of fair dice is ____. 0.028 0.033 0.167 0.333 Exhibit 84 A certain university maintains a colony of male mice for research purposes. The ages of the mice are normally distributed with a mean of 60 days and a standard deviation of 5.2. Assume you randomly sample one mouse from the colony. Refer to Exhibit 84. The probability his age will be less than 45 days is ____. 0.0019 0.4980 0.9980 0.0020 Exhibit 84 A certain university maintains a colony of male mice for research purposes. The ages of the mice are normally distributed with a mean of 60 days and a standard deviation of 5.2. Assume you randomly sample one mouse from the colony. Refer to Exhibit 84. The probability his age will be between 55 and 70 days is ____. 0.8066 0.4980 0.8041 0.1959 A certain university maintains a colony of male mice for research purposes. The ages of the mice are normally distributed with a mean of 60 days and a standard deviation of 5.2. Assume you randomly sample one mouse from the colony. Refer to Exhibit 84. The probability his age will be greater than 68 is ____. 0.9382 0.0618 0.0630 0.4382 If p(A or B) = p(A) + p(B) then A and B must be ____. dependent overlapping continuous mutually exclusive If p(A) = 0.6 and p(B) = 0.5, then p(B|A) equals ____. 0.8333 cannot be determined from the information given 0.5000 0.3000 If the probability of drawing a member of a population is not equal for all members, then the sample is said to be ____. exhaustive independent random biased The probability of rolling an even number or a one on a throw of a single die equals ____. 0.3333 0.0834 0.5000 0.6667 If events are mutually exclusive they cannot be ____. related exhaustive independent correlated The probability of correctly guessing a two digit number is ____. 0.2000 0.0100 0.5000 0.1000 The probability of correctly calling 4 tosses of an unbiased coin in a row equals ____. 0.2658 0.0625 0.5000 0.1250 If p(A and B) = 0, then A and B must be ____. mutually exclusive exhaustive unbiased independent If p(A)p(B|A) = p(A)p(B), then A and B must be ____. exhaustive independent random mutually exclusive