Exam 8: Random Sampling and Probability

The process of random sampling guarantees that the sample selected will be representative of the population. Is this statement true? Discuss.

Assume you are rolling two fair dice once . The probability of obtaining a sum of 5 equals _________.

Define a priori probability .

Two events are considered mutually exclusive if the probability of one event does not influence the probability of a second event.

Why is random sampling important?

What is the probability that you can correctly guess a three-letter sequence if the first letter is a consonant and the second and third letters are the same vowel (a, e, i, o, u, or y)?

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 question. The probability of drawing an ace, a king and a queen of any suit in that order is _________. Sampling is without replacement from a deck of 52 ordinary playing cards.

If p ( A or B ) = p ( A ) + p ( B ) then A and B must be _________.

If an event is certain not to occur, its probability of occurrence equals 0.00.

For dependent events, p ( A and B ) = p ( A ) p ( B | A ).

Define sampling with replacement and sampling without replacement. Give an example of each.

If p ( A ) = 0.6 and p ( B ) = 0.5, then p ( B | A ) equals _________.

Define multiplication rule.

A sample is random if _________.

What is the probability of throwing a pair of dice and having the sum of the dice equal 7 or 11?

For all problems, we must use either the Addition Rule or the Multiplication Rule, but not both.

To calculate the probability of drawing three sevens in a row from a deck of cards involves the use of the multiplication rule and equals 4/52 + 3/51 + 2/50.

The addition rule is concerned with determining the probability of A or B , while the multiplication rule is concerned with determining the probability A and B .

When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00.

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. The probability his age will be between 55 and 70 days is _________.