Exam 4: A: probability and Probability Distributions

The probability of an event A is equal to the sum of the probabilities of the simple events contained in A.

The experiment of rolling a single die once contains six simple events.

If P(A) = 0.60, P(B) = 0.40, and P(B/A) = 0.60, then P(A/B) = 0.24.

The probability of getting a black card when randomly drawing a card from a well-shuffled deck is 1/2.

If events A and B are mutually exclusive, then what is the probability of both events occurring simultaneously?

The expected value of a discrete probability distribution is its long-run average value, if the experiment is to be repeated many times.

Bayes' Rule is a formula for revising an initial subjective (prior) probability value on the basis of results obtained by an empirical investigation, thereby obtaining a new (posterior) probability value.

What does the notation represent?

Suppose A and B are mutually exclusive events where P(A) = 0.1 and P(B) = 0.7, then P(A B) = 0.8.

The weight of a box of candy bars is an example of a discrete random variable since there are only a specific number of bars in the box.

A false positive in screening (e.g., home pregnancy tests) may be best described by which of the following events?

Combinations are distinguishable ordered arrangements of items, all of which have been drawn from a given group of items.

The standard deviation of a discrete probability distribution measures the average variation of the random variable from the mean.

Which of the following is a useful graphical method for displaying the sample space of an experiment?

Suppose that an experiment consists of tossing four unbiased coins simultaneously. The number of simple events in this experiment is 16.

Which of the following best describes all the outcomes (simple events) contained in one or the other of two random events, or possibly in both?

There are two types of random variables: discrete and continuous.

The probability distribution of the number of accidents in North York, Ontario, each day is given by Which of the following could be used to describe this distribution?

The number of students living off-campus is an example of a discrete random variable.

The additive rule of probability is used to compute the probability of an intersection of two or more events. In other words, given two events A and B, and also