Exam 4: A: probability and Probability Distributions

Two events A and B are said to be mutually exclusive if P(A B) = 0.

A table, graph, or formula that associates each possible value of a discrete random variable, x, with its probability of occurrence, p(x), is called a discrete probability distribution.

If P(A/B) = P(A), or P(B/A) = P(B), which of the following best describes the events A and B?

Which of the following may be used to represent the sample space of an experiment?

If P(A/B) = P(A), then events A and B are said to be independent.

If A and B are two independent events with P(A) = 0.25 and P(B) = 0.45, then P(A B) = 0.70.

If P(A) = 0.40, P(B) = 0.30, and P(A B) = 0.12, then what could you deduce about the events A and B?

Which of the following is the best description of an event?

A set of all possible values of a discrete random variable is countable, because the variable can assume values only at specific points on a scale of values, with inevitable gaps in between.

If A and B are independent events, they are also mutually exclusive.

If A and B are independent events with P(A) = 0.30 and P(B) = 0.50, then P(A/B) is 0.15.

Invariably, Venn diagrams illustrate the intersection of two events.

What is any subset of the sample space called?

The addition law of probability theory is used to compute the probability for the occurrence of a union of two or more events; namely, given two events A and B,

The probability of getting two heads when tossing a fair coin twice is 1/4.

If an investor were interested in assessing the probability that a new supermarket will be successful in a Calgary market area, he would most likely use the relative frequency definition of probability as the method for assessing the probability of success.

The experiment of spinning the Monte Carlo roulette wheel once contains 27 simple events.

If P(A) = 0, P(B) = 0.4, and P(A B) = 0, then events A and B are independent.

Suppose A and B are mutually exclusive events where P(A) = 0.2 and P(B) = 0.3, then P(A B) = 0.5.

Suppose that a patient who is complaining of several specific symptoms arrives at a doctor's office and the doctor says that she is 90% certain that the patient has the flu. In this case, it is likely that she is basing her assessment on the relative frequency approach of assigning probabilities.