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Lesechka [4]
2 years ago
12

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)

Advanced Placement (AP)
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

P(x\ and\ y) = 0.15

P(x\ or\ y) = 0.75

Explanation:

Given

P(x) = 0.5

P(y) = 0.4

P(y|x) = 0.3

Solving (a): P(x\ and\ y)

In probability, this is calculated as:

P(x\ and\ y) = P(x) * P(y|x)

This gives:

P(x\ and\ y) = 0.5 * 0.3

P(x\ and\ y) = 0.15

Solving (b): P(x\ or\ y)

In probability, this is calculated as:

P(x\ or\ y) = P(x) + P(y) - P(x\ and\ y)

This gives:

P(x\ or\ y) = 0.5 + 0.4 - 0.15

P(x\ or\ y) = 0.75

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There are extreme temperature variations, ranging from excessive heat to extreme cold.

Explanation:

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1 year ago
The writer wants to alter the passage for an audience that is unfamiliar with the historical period of Shakespeare’s time. Which
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Shakespeare is known for a lot of famous work of literature. The one among the options that best accomplishes this goal is In sentence 11, adding “(equivalent to a modern-day mayor)” after “bailiff".

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2 years ago
The following table shows the number of hours some high school students in two towns spend riding the bus each week:
sergeinik [125]

Answer: Part A. The IQR for town A is 4.5 and the IQR for town B is 4.5

Part B. No, they are assymetric.

Explanation: To find the interquatile range (IQR) of each set of data, you can do as follows:

1) Put the number in each set of data in order:

A: 3 4 5 5 6 7 8 9 9 20

B: 3 3 5 5 6 8 8 9 9

2) Find the median of each town data:

For A, the median is the number 6. Coincidently, the same can be said for town B: its median is 6.

3) Find Q1, which is the median (or the middle term) of the left side of the median:

A: 3 4 5 5 (set of numbers to calculate)

B: 3 3 5 5

Now, as both set of number are even, to find the median, we have to calculate the mean of the two central numbers:

For A: Q1 = \frac{4+5}{2} = 4.5

For B: Q1 = \frac{3+5}{2} = 4

4) Find Q3, which is the median of the right side of the first median:

A: 7 9 9 20 (set of numbers to calculate)

B: 8 8 9 9

As before, the median will be the mean:

For A: Q3 = \frac{9+9}{2} = 9

For B: Q3 = \frac{8+9}{2} = 8.5

5) The IQR is the result of a subtraction:

IQR = Q3 - Q1

For A: IQR = 4.5

For B: IQR = 4.5

For the two sets of data the IQR is the same and equals 4.5.

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