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Vikentia [17]
3 years ago
10

In a school with 2,000 students, a random sample of 120 students were asked which fruit is their favorite. Their

Mathematics
2 answers:
alex41 [277]3 years ago
7 0
567 students would pick orange
Maslowich3 years ago
5 0
567 students would pick orange
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A system has one each of two different types of components in joint operation. Let X and Y denote the random lengths of the live
RSB [31]

Answer:

The value of E(Y/X) is 2.

Step-by-step explanation:

As the complete question is not given, thus the complete question is found online and is attached herewith.

So the joint density function is given as

f(x,y)=\left \{ {{\dfrac{x}{8}e^{-\dfrac{x+y}{2}}    \,\,\,\,0 \leq x,0\leq y \atop {0}} \right.

So the marginal function for X is given as

f_x=\int\limits^{\infty}_0 {f(x,y)} \, dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x+y}{2} }dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x}{2}}e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{8}e^{-\frac{x}{2}}\int\limits^{\infty}_0e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{4}e^{-\frac{x}{2}}

Now

f(Y/X)=\dfrac{f(X,Y)}{f(X)}\\f(Y/X)=\dfrac{\dfrac{x}{8}e^{-\frac{x+y}{2} }}{\dfrac{x}{4}e^{-\frac{x}{2}}}\\f(Y/X)=\dfrac{1}{2}e^{-\frac{y}{2} }

Now the value of E(Y/X) is given as

E(Y/X)=\int\limits^{\infty}_0 {yf_{Y/X}} \, dy \\E(Y/X)=\int\limits^{\infty}_0 {y\dfrac{1}{2}e^{-\frac{y}{2} } }\, dy\\E(Y/X)=\dfrac{1}{2}\dfrac{\sqrt{2}}{(\dfrac{1}{2})^2}=2

So the value of E(Y/X) is 2.

3 0
3 years ago
Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using
galben [10]

Answer: 1.8 s

Step-by-step explanation:

Given

The height of the spring mass system above the table is given by

h(t)=6.85\cos (3.42t)+9

The mass is performing S.H.M with frequency \omega =3.42

and \omega T=2\pi

\therefore T=\dfrac{2\pi }{\omega}

time when mass returns to its original position

T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s

5 0
2 years ago
A is the center of one circle, and B is the
andreyandreev [35.5K]

Answer:

a

Step-by-step explanation:

because it goes to one side to another

7 0
3 years ago
Please help me!!
Jobisdone [24]

Answer:

b .because the surface area of the sandwich

8 0
3 years ago
4. If A is at (4, -1) and B is at (2,-7), find the midpoint of segment AB.
melomori [17]
The answer is (3,-4). On a graph you see it is right in the middle. Hope this helps.

8 0
3 years ago
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