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 the following areas has the greatest linguistic fragmentation?

Answers

Answer:

Political dominance and conversion.

Explanation:

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
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B. Listeners who are planning to run for elected office and are in the
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D. Listeners who make a comfortable living but who would be fine
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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.

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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.

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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.

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Answer:

9 is a great answer to the question

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Answer:

you would get white

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I looked it up on google lol

Answer:

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Answers

Answer:

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

Explanation:

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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.
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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

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

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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

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

Explanation:

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