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jenyasd209 [6]
3 years ago
12

Suppose the random variables X, Y, and Z have the following joint probability distribution. x y z f ( x , y , z ) 1 1 1 0.05 1 1

2 0.10 1 2 1 0.15 1 2 2 0.20 2 1 1 0.20 2 1 2 0.15 2 2 1 0.10 2 2 2 0.05 Determine the conditional probability distribution of X given that Y
Mathematics
1 answer:
Airida [17]3 years ago
3 0

Answer:

Determine the conditional probability distribution of X given that Y = 1 and Z = 2. Round your answers to two decimal places (e.g. 98.76).

answer:

Given that Y = 1 :  2/5

Given that Z = 2 : 3/5

Step-by-step explanation:

The conditional probability distribution of X     F x | yz^( x )

Given that Y = 1

F x | yz . ( x | yz )  = 2/5

Given that z = 2

= 3/5

attached below is the detailed solution

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2 years ago
How do you add and subtract decimals as easily as you do whole numbers?
777dan777 [17]

If you know how to add and subtract whole numbers, then you can add and subtract decimals! Just be sure to line up the terms so that all the decimal points are in a vertical line.
To add decimal numbers:

Put the numbers in a vertical column, aligning the decimal points
Add each column of digits, starting on the right and working left. If the sum of a column is more than ten, "carry" digits to the next column on the left.
Place the decimal point in the answer directly below the decimal points in the terms.
To subtract decimal numbers:

Put the numbers in a vertical column, aligning the decimal points.
Subtract each column, starting on the right and working left. If the digit being subtracted in a column is larger than the digit above it, "borrow" a digit from the next column to the left.
Place the decimal point in the answer directly below the decimal points in the terms.
Check your answer by adding the result to the number subtracted. The sum should equal the first number.

To add these numbers, first arrange the terms vertically, aligning the decimal points in each term. Don't forget, for a whole number like the first term, the decimal point lies just to the right of the ones column. You can add zeroes to the right of the decimal point to make it easier to align the columns. Then add the columns working from the right to the left, positioning the decimal point in the answer directly under the decimal points in.

To subtract these numbers, first arrange the terms vertically, aligning the decimal points in each term. You can add zeroes to the right of the decimal point, to make it easier to align the columns. Then subtract the columns working from the right to the left, putting the decimal point in the answer directly underneath the decimal points in the terms. Check your answer by adding it to the second term and making sure it equals the first.










· Place value

· Decimal numbers

· Estimating and
rounding

· Adding / subtracting
decimals

· Multiplying decimals

· Dividing decimals

· Percent

· Exponents

· Square roots

· Signed integers

· Adding and
subtracting integers

· Multiplying and
dividing integers

· Properties of integers








First Glance In Depth Examples Workout
First Glance In Depth Examples Workout

Adding and subtracting decimals
4 0
3 years ago
Read 2 more answers
Ryan has 3 cups of chocolate milk. If he pours 1/3 of a cup each day, how many days will the 3 cups last him?
DerKrebs [107]

Answer:

Workplace Math. Everyday Math. Collaborative Learning. Class Projects. 1-3. 1-5. 1-6. 1-8 ... show them that math has any practical value – so show them! Then the ... How long will a prescription last if someone needs to take it three times a day? ... milk. ¼ cup flour. 1 ½ cups raisins. 1 ¼ cups oatmeal. 1 2/3 cups salt. ½ tsp.

Step-by-step explanation:

6 0
3 years ago
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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

Let the middle number be x.

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You can solve that equation, or you can use logic.

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Step-by-step explanation:

10000 x .45 = 4500


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3 years ago
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