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2 years ago

Help is need! look at the question

Mathematics

1 answer:

ser-zykov [4K]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Plug in the numbers: 3≤3-2(0)

3≤3-0

3≤3

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Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

2 years ago

Will give brainliest plz show work ASAP

MrMuchimi

Here is the work hope this helps!

5 0

2 years ago

Find the domain of the graphed function. (Please help me)

mel-nik [20]

Answer:

Step-by-step explanation:

I belive it is a .

8 0

3 years ago

Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-va

Nat2105 [25]

Answer:

(a square +7a+12) ÷(a+3)

5 0

2 years ago

Find the volume make it an improper fraction then a mixed number please do a step by step explanation and I will give you brainl

Andrews [41]

Answer:

8463/32=264 15/32

Step-by-step explanation:

Let's make every fraction improper first.

7 3/4=31/4

5 2/8=42/8

6 1/2=13/2

Simplify 42/8

42/8=21/4

21/4

31/4

13/2=26/4

21/14*31/4*26/4=(21*31*26)/64=16926/64=8463/32

3 0

2 years ago