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timama [110]
3 years ago
14

If y has moment-generating function m(t) = e 6(e t −1) , what is p(|y − µ| ≤ 2σ)?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0
Since \mathrm M_Y(t)=e^{6(e^t-1}, we know that Y follows a Poisson distribution with parameter \lambda=6.

Now assuming \mu,\sigma denote the mean and standard deviation of Y, respectively, then we know right away that \mu=6 and \sigma=\sqrt6.

So,

\mathbb P(|Y-\mu|\le2\sigma)=\mathbb P(6-2\sqrt6\le Y\le6+2\sqrt6)=\dfrac{66366}{175e^6}\approx0.940028
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Kobotan [32]

Answer: I. only

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

Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

4 0
3 years ago
The sum of 6 consecutive integers is 270. What is the second number in the sequence?
Rina8888 [55]
N+(n+1)+(n+2)+(n+3)+(n+4)+(n+5)=270
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Now we group like terms:
6n+15=270
Minus 15 from both sides of the equation
6n=255
n=42.5 which is not an integer
Is this a joke question?
Besides that, the 2nd number will be 43.5
3 0
3 years ago
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barxatty [35]

Answer:

(x+4)(x+8)

Step-by-step explanation:

when you use the FOIL method then you can check the work and make sure that this is correct.

4 0
3 years ago
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Sliva [168]

Answer: If the frequency is 0, it does not repeat.

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3 0
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inessss [21]
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5 0
3 years ago
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