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vovikov84 [41]
3 years ago
5

0.19444444444 as a fraction

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0
<span>19444444444/100000000000</span>
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The joint probability mass function of XX and YY is given by p(1,1)=0p(2,1)=0.1p(3,1)=0.05p(1,2)=0.05p(2,2)=0.3p(3,2)=0.1p(1,3)=
inessss [21]

Answer:

P(Y=1|X=3)=0.125

Step-by-step explanation:

Given :

p(1,1)=0  

p(2,1)=0.1

p(3,1)=0.05

p(1,2)=0.05

p(2,2)=0.3

p(3,2)=0.1

p(1,3)=0.05

p(2,3)=0.1

p(3,3)=0.25

Now we are supposed to find the conditional mass function of Y given X=3 :  P(Y=1|X=3)

P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)

P(X=3)=p(3,1) +p(3,2) +p(3,3)

P(X=3)=0.05+0.1+0.25=0.4

P(Y=1|X=3)=\frac{P(X=3,Y=1)}{P(X=3)} =\frac{p(3,1)}{P(X=3)}=\frac{0.05}{0.4}= 0.125

Hence P(Y=1|X=3)=0.125

8 0
3 years ago
Multiply and Simplify<br> (x-4)(x^2 - 5x - 6)
kirill [66]

Answer:

x^3 -9x^2 +14x +24

Step-by-step explanation:

(x-4)(x^2 - 5x - 6)

Multiply the x by everything in the second term

x * (x^2 - 5x - 6)

x^3 -5x^2 -6x

Multiply the -4 by everything in the second term

-4 * (x^2 - 5x - 6)

-4x^2 +20x +24

Add everything together

I like to line them up vertically

x^3 -5x^2 -6x

      -4x^2 +20x +24

-------------------------------

x^3 -9x^2 +14x +24


4 0
3 years ago
Read 2 more answers
What is the mean absolute deviation for the data set? {10, 15, 18, 20, 24}
Arlecino [84]

Answer:

3.92

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Find the sum of the data values, and divide the sum by the number of data values.

Find the absolute value of the difference between each data value and the mean: |data value – mean|.

Find the sum of the absolute values of the differences.

Divide the sum of the absolute values of the differences by the number of data values.

7 0
3 years ago
Read 2 more answers
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
Elodia [21]

Answer:

StartFraction 1 over 8 EndFraction

Step-by-step explanation:

It would be 1/8 because there is 8 sections on the spinner and 5 is on 1 section of the spinner so it would 1/8.

8 0
3 years ago
A jar contains 5 purple, 6 yellow, 8 green, and 5 orange jellybeans. What is the probability of selecting a yellow jellybean fol
Oksana_A [137]

Answer:

\frac{5}{96}

Step-by-step explanation:

At the beginning, the jar contains the  following beans:

5 purple

6 yellow

8 green

5 orange

Therefore, the total number of jellybeans in the jar tha beginning is:

n=5+6+8+5=24

The number of yellow beans at the beginning is

y=6

Therefore, the of selecting a yellow jellybean at the beginning is

p(y)=\frac{y}{n}=\frac{6}{24}=\frac{1}{4}

After selecting this yellow bean, the yellow bean it is replaced in the jar, so the number of total beans is still n = 24.

And the number of purple beans inside is

p=5

So, the probability of selecting a purple bean at the 2nd attempt is

p(p)=\frac{5}{24}

Therefore, the combined probability of selecting a yellow jellybean followed by a purple one is

p(yp)=p(y)\cdot p(p)=\frac{1}{4}\cdot \frac{5}{24}=\frac{5}{96}

3 0
3 years ago
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