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yawa3891 [41]
3 years ago
8

In the casino game of roulette, a $1 bet on red pays $2 with probability 18/38 and $0 with probability 20/38. So if X denotes th

e net winnings on a single bet, the distribution of X is given by the________.
Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer:

P_X(1) = 9/19

P_X(-1) = 10/19

Step-by-step explanation:

You need to take the payment and substract $1 from them, corresponding to the bet cost. With this in mind, you will win $1 with probability 18/38 = 9/19 and you will lose $1 with probability 20/38 = 10/19. With this in mind, the distribution of X is given by the following probability mass function, with range {-1,1}

P_X(1) = 9/19

P_X(-1) = 10/19

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Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

8 0
3 years ago
In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____
VladimirAG [237]
From the question, we know that we will be looking at <3, <4, and angles TKL and TLK. That being said, since <3 is congruent to <4, that means that angles TKL and TLK, which are each supplementary to either angle 3 or 4, are congruent because, since angles 3 and 4 are congruent, they are congruent because the supplements of congruent angles are congruent. 
3 0
3 years ago
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Add the following fractions. See the image below
LenKa [72]

Answer:

\dfrac{19}{840}

Step-by-step explanation:

The given fraction is:

\dfrac{1}{168}+\dfrac{3}{180}

We need to solve it.

The LCM of 168 and 180 is 2520.

So,

\dfrac{1}{168}+\dfrac{3}{180}=\dfrac{15+3\cdot14}{2520}\\\\=\dfrac{19}{840}

So, the required answer is equal to \dfrac{19}{840}.

3 0
3 years ago
Solve: 2x+4y=20 and 2x-y=4
fgiga [73]
Answer:
(x, y) = (18/5, 16/5)
OR
(x, y) = (3.6, 3.2)
4 0
3 years ago
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What is a factor in whole numbers and fractions?
harkovskaia [24]
Mixed fraction is what it is called
Mixed fraction factor: 1(1/2)
Normal fraction factor:4/2
U can use 4/2 or 2
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