Exam 9: Introduction to Probability and Statistics

An office worker spends each coffee break at the same deli.This deli has the same 8 varieties of coffee every day.To add variety and excitement to his or her day,the office worker decides to randomly choose a coffee variety in the morning and then randomly choose a variety in the afternoon.How many morning coffee - afternoon coffee choices are there?

Determine

From a group of 12 people,in how many ways can the offices of chairperson,secretary,and treasurer be filled by three different people?

Each question on a four-question multiple-choice examination has three choices,only one of which is correct.By answering each question in a random fashion,the probability that exactly two questions are answered correctly is

In how many ways can a four-member committee be selected from a group of seven people?

The plane arrives on time in L.A.even though it left Denver later than scheduled.

In how many ways is it possible to answer a five-question multiple-choice examination if each question has three choices and exactly one choice is selected for each question?

A car rental agency buys 140 new tires to outfit its 35-vehicle fleet.The tires can be distinguished by their production serial numbers.Suppose the tire dealer delivers the tires and dumps them in a heap.The rental agency's maintenance person selects 4 tires from the heap to put on the first car.How many ways can she select the 4 tires to put on the car?

Three cards are randomly drawn,with replacement,from a standard deck of 52 cards.Find the probability that the cards chosen,in order,are a queen,the 3 of diamonds,and a diamond.

From an urn that contains eight marbles numbered 1 through 8,three marbles are randomly selected in succession and the results observed.Determine the number of sample points in the sample space of this experiment if the marbles are selected (a)with replacement and (b)without replacement.

In a certain class,40% of students had a B average at midterm.Of these,50% ended up with a course grade of B.Of those who did not have a B average at midterm,40% ended up with a course grade of B.If one of the students in the class is selected at random and is found to have received a B for the course,what is the probability that the student did not have a B average at midterm?

An urn contains five chips numbered from 1 to 5.A chip is randomly drawn.Let E be the event of drawing a 3 and F be the event of drawing a 5.Are E and F independent?

If S = is a sample space of an experiment with events E = And Then E ∪ F' =

An urn contains 4 red and 3 yellow marbles.If two marbles are randomly drawn without replacement,find the probability the second one is yellow,given that the first marble drawn is red.

The value of the product ∙ Is

The value of is

If P(E∣F)= ,P(E ∪ F) = , and P(E ∩ F) = , determine if E and F are independent or dependent.

Given the equiprobable sample space S = and events E = and F = ,find

A club has ten members.In how many ways can the offices of president,vice president,secretary,and treasurer be filled if no member can serve in two offices?

A sample space is partitioned by events E and F,where Suppose that S is an event such that And