STAT

Introduction to Statistics – MATO 205

Quiz 1: Chapter 4

Name ______________________________________________ Date _______________

Fill in the space. (2 points each)

A ___________ is a value between zero and one, inclusive, describing the relative chance or likelihood an event will occur.

An experiment with more than one step is called _______________ ________________.

An _________ is a subset of outcomes from the sample space.

Using the _____________ viewpoint, an individual makes an educated guess and then estimates or assigns the probability.

Using the ________________ viewpoint, the probability of an event happening is computed by dividing the number of favorable outcomes by the total number of trials.

If several events are described as ______________ ________________, then the occurrence of one event has no common outcome with the other events.

The ____________ _________ is used to determine the probability of an event occurring by subtracting the probability of the event not occurring from 1.

The special rule of multiplication requires that two events and are _______________.

A probability that measures the likelihood that an event occurs given that another event occurs is called ________________ __________________.

_________________ is the selection of objects from a group without regard to their arrangement.

Free Response Question (You must show all your work to earn full credit)

Fred exercises regularly. His fitness log for the last 12 months shows that he jogged 30% of the days, rode his bike 20% of the days, and did both on 12% of the days. (5 points)

What is the probability that Fred would either jog or ride his bike on any given day?

What is the probability that Fred would neither jog nor ride his bike on any given day?

In how many ways can you arrange the letters in the word GRAMMATICAL? (10 points)

Solve the following (Show your work): (5 points each)

(b) (c)

Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly. What is the probability they are both juniors or both seniors? (Use Multiplication Rule for Dependent Events)

(10 points)

Consider a jar containing 4 blue marbles, 9 green marbles, and 5 yellow marbles. Suppose each marble has an equal chance of being picked from the jar. Find: (5 points each)

Probability of selecting a yellow marble.

Probability of selecting a blue marble.

(c) Probability of selecting a green marble.

The student council at one high school must choose two representatives from each of the sophomore, junior, and senior classes to attend the annual student council convention. If there are 6 sophomores, 5 juniors, and 7 seniors on the student council, in how many ways can the group be chosen for the convention? (20 points)