Question: Given P(X) = 0.5, P(Y) = 0.4, and P(Y|X) = 0.3, what are P(X and Y) and P(X or Y)? (3 points)

A. P(X and Y) = 0.9, P(X or Y) = 0.75
B. P(X and Y) = 0.9, P(X or Y) = 0.1
C. P(X and Y) = 0.75, P(X or Y) = 0.15
D. P(X and Y) = 0.15, P(X or Y) = 0.1
E. P(X and Y) = 0.15, P(X or Y) = 0.75

Answers

Answer 1

Answer:

[tex]P(x\ and\ y) = 0.15[/tex]

[tex]P(x\ or\ y) = 0.75[/tex]

Explanation:

Given

[tex]P(x) = 0.5[/tex]

[tex]P(y) = 0.4[/tex]

[tex]P(y|x) = 0.3[/tex]

Solving (a): [tex]P(x\ and\ y)[/tex]

In probability, this is calculated as:

[tex]P(x\ and\ y) = P(x) * P(y|x)[/tex]

This gives:

[tex]P(x\ and\ y) = 0.5 * 0.3[/tex]

[tex]P(x\ and\ y) = 0.15[/tex]

Solving (b): [tex]P(x\ or\ y)[/tex]

In probability, this is calculated as:

[tex]P(x\ or\ y) = P(x) + P(y) - P(x\ and\ y)[/tex]

This gives:

[tex]P(x\ or\ y) = 0.5 + 0.4 - 0.15[/tex]

[tex]P(x\ or\ y) = 0.75[/tex]


Related Questions

Which of these statements describe you? Check all that apply.

I have participated in an online discussion forum.
I am comfortable speaking before large groups.
I have led small or large group discussions in the classroom.
I prefer working in groups rather than working on my own.
I am able to share my thoughts on a topic with ease when participating in group discussions.
I have been part of an online meeting that required me to use web-conferencing software.

Answers

Answer:

I am all the above except the last one

Explanation:

Hope that helped :)

Answer:

All of those statements describe me

Explanation:

Pretty sure it was asking about your (as in the person who posted the question) personal experiences...

but I hope it helps! :D

If an artist were to blend red, green, and blue paints together, the result would look

Answers

Answer:

you would get white

Explanation:

I looked it up on google lol

Answer:

it would look like a mixture of colors

Explanation:

yessir white fyi

Which of the following areas has the greatest linguistic fragmentation?

Answers

Answer:

Political dominance and conversion.

Explanation:

Identify the characteristics of the recent immigration from Mexico to the United States.

Answers

Answer:

The characteristics of the recent immigration from Mexico to the United States is explained below in complete details.

Explanation:

Mexico is holding more unofficial Intermediate American immigrants at its southern boundary.Despite improved implementation by Mexico, many unofficial Central Americans are still transferring to the U.S. via Mexico.More scattered Mexicans are migrating to the U.S. now than in history.More Cubans are also progressing through Mexico to arrive in the U.S.More numerous Mexicans now say experience is about the equivalent in the U.S. and Mexico.

Question 1 of 10
For which of these audience groups would Long's speech probably have been
effective?
A. Listeners who are wealthy and able to save money for their
children's futures
B. Listeners who are planning to run for elected office and are in the
process of generating campaign funds
C. Listeners who have found themselves in dire financial
circumstances
D. Listeners who make a comfortable living but who would be fine
with making a bit more money
SUBMIT
No

Answers

Answer:

C. Listeners who have found themselves in dire financial circumstances.

Explanation:

The audience group that would Long's speech probably have been effective is listeners who have found themselves in dire financial circumstances. The correct option is C.

What is an audience?

An audience that is very knowledgeable about the subject you are discussing would be considered an expert audience. These folks are so well-versed in the field of study already that it is unlikely they would require a lot of background knowledge to comprehend your research.

However, if you want an intermediate or novice audience to understand your research, you should expect them to need some, or a lot, of prior information. When writing, it's crucial to keep your reader in mind so that you can tailor your content to meet their needs.

Therefore, the correct option is C. Listeners who have found themselves in dire financial circumstances.

To learn more about the audience, refer to the link:

https://brainly.com/question/3007318

#SPJ5

Write one review for the Replay Museum in Tarpon Springs as though you just visited (whether you have ever been there or not). Your review should include what Replay Museum is, how it differs from a typical museum, some information about your experiences there (maybe favorite game?), and if you would recommend it for others.

Answers

Answer:Replay Amusement Museum is a gamer's paradise! This arcade/museum offers over 100 playable pinball and arcade machines. Enjoy playing classic favorites such as Arkanoid, Pac Man, and Xenon. There is also a selection of new pinball machines such as Game of Thrones, Lord of the Rings, and The Walking Dead pinball machines and

My husband is a kid at heart so he absolutely loved spending an afternoon reminiscing with some of his favorite childhood games. There is no need to raid the piggy bank for quarters. A wristband ($13 per adult, $7 per child) allows you access to play unlimited games all day. You are welcome to come and go as you please so you can take breaks for lunch or to shop for soaps and sponges at the Sponge Docks.

My only complaint is that my husband insisted that we play all of the games as two players and he managed to crush my high scores on every game! Will definitely be returning to Replay Amusement Museum for a rematch soon!

Note to the parents: This is not an arcade that you can drop your children off at. All minors must be accompanied by an adult and anyone entering the building must pay for a wristband.

Photo of Replay Amusement Museum - Tarpon Springs, FL, United States. Sure plays a mean pin ball!

Explanation:

Read the recipe for making brownies.

1 egg
1/2 cup of softened butter
2 cups flour
1 cup sugar
1 cup of sweetened cocoa
2 teaspoons baking soda
1 teaspoon salt

1. Preheat the oven to 350 degrees.
2. Mix the eggs and butter in a bowl until smooth.
3. Add the flour, sugar, cocoa, baking soda, and salt to the bowl.
4. Mix the ingredients until thick and creamy.
5. Pour the mixture into a 9x12-inch non-stick baking dish.
6. Bake for 25 minutes.
PLS HURRY IM TIMED (THIS IS FOR MY TEST)
A way to keep the brownies from burning is

using a larger baking dish.
using a smaller mixing bowl.
decreasing the baking time.
decreasing the amount of butter.

Answers

I would say using a larger baking dish or decreasing the baking time :) they both sound correct

The way to keep the brownies from burning is decreasing the baking time. Thus, option third is correct.

What is baking?

Baking is a form of cooking that employs dry heat, usually in an oven, but it can also be done in hot ashes or on hot stones. Bread is the most popular baked foodstuff, although many other items may be baked. Heat is gradually transported from the surface to the core of cakes, cookies, and slices of bread.

A chocolate brownie, often known as a brownie, is a baked chocolate treat. Brownies come in a range of shapes and sizes, and their density determines whether they are fudgey or cakey. Brownies' upper crusts frequently, but not always, feature a shiny "skin." Therefore, it can be concluded that option third is correct.

Learn more about baking here:

https://brainly.com/question/914928

#SPJ2

PLS HURRY THIS IS FOR MY TEST

Read the recipe for making brownies.

1 egg
1/2 cup of softened butter
2 cups flour
1 cup sugar
1 cup of sweetened cocoa
2 teaspoons baking soda
1 teaspoon salt

1. Preheat the oven to 350 degrees.
2. Mix the eggs and butter in a bowl until smooth.
3. Add the flour, sugar, cocoa, baking soda, and salt to the bowl.
4. Mix the ingredients until thick and creamy.
5. Pour the mixture into a 9x12-inch non-stick baking dish.
6. Bake for 25 minutes.

A way to keep the brownies from burning is

using a larger baking dish.
using a smaller mixing bowl.
decreasing the baking time.
decreasing the amount of butter.

Answers

Answer:

decreasing the amount of butter

Explanation:

I think it would be to decrease baking time cuz that makes the most sense

add up the total in each row of the tape diagram to determine how many quarts of blue and yellow pains the calry family needs.

Answers

Answer:

9 is a great answer to the question

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