Exam 4: Probability and Probability Distributions

Applicants for a musical instrument manufacturer are asked to take a manual dexterity test. Past history has shown that only 25% of the applicants are able to finish the test in the allotted time. Two applicants are selected at random from the applicant pool. a. What is the probability that both applicants finish the test in the allotted time? ________________________________________________________ b. Justify your answer. ______________ c. What is the probability the first applicant completes the test in the allotted time but the second applicant does not? ______________ d. Justify your answer. ________________________________________________________

A false negative in screening tests (e.g., Steroid testing of athletes) represents the event that:

A useful graphical method of displaying the sample space for an experiment is:

An Italian restaurant in Grand Rapids, Michigan, offers a special summer menu in which, for a fixed dinner cost, you can choose from one of two salads, one of three entrees, and one of four deserts. How many different dinners are available? ______________

Given a set of events that are mutually exclusive and exhaustive and an event A, the law of total probability states that P(A) can be expressed as .

How many permutations of 3 colors can be drawn from a group of 20 colors? ______________

A false negative in screening tests is the event that the test is positive for a given condition, given that the person does not have the condition.

A missile designed to destroy enemy satellites has a 0.80 chance of destroying its target. If the government tests three missiles by firing them at a target, what is the probability all three fail to destroy the target? (Assume the missiles perform independently.) ______________

If P(A) = 0.42 and P(B) = 0.38, then P(A B) is:

Relative frequency histograms are constructed for a sample of n measurements drawn from the population, while the probability histogram is constructed as a model for the entire population of measurements.

If P(A) > 0 and P(B) > 0, then when A and B are mutually exclusive events, they are also dependent events.

Two events A and B are said to be dependent if and only if:

An experiment consists of tossing 3 unbiased coins simultaneously. The number of simple events in this experiment is:

In a set of all possible values 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.

Which of the following statements is false?

Which of the following correctly describes the nature of discrete quantitative variables?