Hello I attached some questions that I am stuck on.

Thank you.

Question 1

Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. rounded to four decimal places.

(a) Find P(A).

(b) Find P(B | A).

(c) Find P (AandB).

(d) Are A and B Independent? Explain.

Question 2:

A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 10,800 people are tested. Only 200 of these people have the disease, while the other 10,600 are disease free. Of the disease-free people, 10,500 get a negative result, and 100 get a positive result. The 200 people with the disease all get positive results. Round your answers to four decimal places, if necessary.

Part 1:

(a)Find the probability that the test gives the correct result for a person who does not have the disease.

The probability that the test gives the correct result for a person who does not have the disease is Blank.

Part 2:

(b)Find the probability that the test gives the correct result for a person who has the disease.

Part 3:

(c)Given that a person gets a positive result, what is the probability that the person actually has the disease?

Question 3:

What's your favorite TV show? The following tables present the ratings for 8

top prime-time shows for the 2007-2008 season and for the 2012-2013 season. The rating is the percentage of households with TV sets that watched the program.

Top Rated TV Programs: 2007-2008	Top Rated TV Programs: 2012-2013
Program	Rating	Program	Rating
Dancing With the Stars - Tuesday (2008)	11.8	American Idol - Wednesday	4.6
Desperate Housewives	11.6	American Idol - Thursday	4.3
CSI	10.6	The Following	4.3
House - Tuesday	10.5	Two and a Half Men	4.1
Grey's Anatomy	10.4	Grey's Anatomy	4.1
Sunday Night Football	9.7	NCIS	4.0
CSI: Miami	9.2	Football Night in America Part 3	4.0
House - Monday	9.2	Revolution	3.9

Part 1:

(a) Find the population standard deviation of the ratings for 2007-2008. Round the answer to at least two decimal places.

The population standard deviation of the ratings for 2007-2008 is blank %.

Part 2:

(b) Find the population standard deviation of the ratings for 2012-2013. Round the answer to at least two decimal places.

The population standard deviation of the ratings for 2012-2013 is blank %

Question 4:

Let's eat: A fast-food restaurant chain has 590 outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 590 to test market a new menu. Round your answers to four decimal places.

Population of City	Region
NE	SE	SW	NW
Under 50,000	34	40	17	5
50,000500,000	55	87	69	26
Over 500,000	146	28	25	58

(a) Given that the restaurant is located in a city with a population over 500,000 , what is the probability that it is in the Northeast?

(b) Given that the restaurant is located in the Southeast, what is the probability that it is in a city with a population under 50,000 ?

(c) Given that the restaurant is located in the Southwest, what is the probability that it is in a city with a population of 500,000 or less?

(d) Given that the restaurant is located in a city with a population of 500,000 or less, what is the probability that it is in the Southwest?

(e) Given that the restaurant is located in the South (either SE or SW), what is the probability that it is in a city with a population of 50,000 or more?