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andreyandreev [35.5K]
3 years ago
10

Suppose X ~ N(6.5, 1.5), and a

Mathematics
1 answer:
dangina [55]3 years ago
8 0

Answer:

Step-by-step explanation:

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Nine tiles are numbered $\color[rgb]{0.35,0.35,0.35}1, 2, 3, \ldots, 9$. Each of three players randomly selects and keeps three
Eduardwww [97]

The probability that all three players obtain an odd sum is 3/14.

<h3>What is probability?</h3>

The probability is the ratio of possible distributions to the total distributions.

I.e.,

Probability = (possible distributions)/(total distributions)

<h3>Calculation:</h3>

Given that,

There are nine tiles - 1, 2, 3,...9, respectively.

A player must have an odd number of odd tiles to get an odd sum. That means he can either have three odd tiles, or two even tiles and an odd tile.

In the given nine tiles the number of odd tiles = 5 and the number of even tiles = 4.

The only possibility is that one player gets 3 odd tiles and the other two players get 2 even tiles and 1 odd tile.

So,

One player can be selected in ^3C_1  ways.

The 3 odd tiles out of 5 can be selected in ^5C_3 ways.

The remaining 2 odd tiles can be selected and distributed in ^2C_1 ways.

The remaining 4 even tiles can be equally distributed in \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !} ways.

So, the possible distributions = ^3C_1 × ^5C_3 × ^2C_1 × \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !}

⇒ 3 × 10 × 2 × 6 = 360

To find the total distributions,

The first player needs 3 tiles from the 9 tiles in ^9C3=84 ways

The second player needs 3 tiles from the remaining 6 tiles in ^6C_3=20 ways

The third player takes the remaining tiles in 1 way.

So, the total distributions = 84 × 20 × 1 = 1680

Therefore, the required probability = (possible distributions)/(total distributions)

⇒ Probability = 360/1680 = 3/14.

So, the required probability for the three players to obtain an odd sum is 3/14.

Learn more about the probability of distributions here:

brainly.com/question/2500166

#SPJ4

3 0
1 year ago
How do you solve this?
Basile [38]

Answer:

NO SOLUTION

Step-by-step explanation:

By the give me brainlist please

6 0
2 years ago
2/5 divided by 1/3 equals what?
notka56 [123]

Answer:

1.2

Step-by-step explanation:

3 0
3 years ago
What word problem could be used for the 2 step equation .5(x+40)=200
Fiesta28 [93]

Since multiplying by 0.5 is the same as dividing by 2, the problem is described by the sentence

"Half the sum of a number and 40 equals 200"

5 0
3 years ago
Read 2 more answers
IF A CHICKEN FARM SOLD 3,000  DOZEN EGGS LAST WEEK HOW MANY INDIVIDUAL EGGS WERE SOLD?
weeeeeb [17]
There are 250 eggs sold by not grouped in dozens
8 0
3 years ago
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