Mathematics, 27.03.2021 17:30 fsdfsf

Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded. Then, an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event. Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.

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Answer from: mokunola16

1.The random variable X can take any value from( 2,- ,12) in the event of the sample space.

2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]

3. The probability of getting a 4 = 1/12

4. The probability of getting a 12 = 1/36

Step-by-step explanation:

There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .

The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]

The random variable X can take any value from( 2,- ,12) in the event of the sample space.

The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]

that is it has all the possible outcomes of both the dice.

The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12

The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36

Answer from: Quest

$m< xyz=\frac{1}{2}(a-b)$

$m< xoy=b$

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

$m< xyz=\frac{1}{2}(mayor\ arc\ xy-minor\ arc\ xy)$

substitute the values

$m< xyz=\frac{1}{2}(a-b)$

the measure of angle xoy is equal to

$m< xoy=minor\ arc\ xy$ > by central angle

substitute the value

$m< xoy=b$

Which equation is correct regarding the diagram of circle o? a) m∠xzy = (a + b)b) m∠xzy = (a – b)c)

Answer from: Quest

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

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Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded....

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