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Nata [24]
3 years ago
13

Let X be a random variable that is equal to the number of times a 5 is rolled in three rolls of a fair 5-sided die with the inte

gers 1 through 5 on the sides. What is E[X2 ]? What is E2 [X], that is, (E[X])2 ? Justify your answers briefly.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Firstly we will make PMF

For X=0, P=(4/5)^3=64/125

For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125

For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125

For X=3, P=C(3,3)*(1/5)^3=1/125

So,

E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84

E[X]=48/125+12/125*2+1/125*3=0.6

So,

E[X]^2=0.36

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10% of what number is 14
vovikov84 [41]
That would be 140

10% is basically the same thing as 1/10. So if you want to find the answer, do the opposite of 1/10, which is 10.

That way, you can get 14 * 10 = 140
3 0
3 years ago
Read 2 more answers
the formula for the circumference (c) of a circle is c= 2πr. calculate c if r=0.8695 mm, keeping the highest possible number of
Marianna [84]

The value of the circumference (C) of a circle, having a radius (r) = 0.8695 mm, using the formula C = 2πr, is calculated to be <u>5.4632296245926504416865368435231‬ mm</u>.

A circle is a shape formed by all points in a plane that are at a particular distance from the center.

The linear distance around a circle is defined as its circumference. In other words, if a circle is opened to produce a straight line, the length of that line equals the circumference of the circle.

The formula for the circumference of a circle is given:

C = 2πr,

where C is the circumference of the circle, r is its radius, and π is a constant.

We are asked to find the circumference of the circle (C), given its radius (r) = 0.8695 mm.

Using the formula of the circumference C = 2πr, we can find the circumference as:

C = 2*π*(0.8695) mm,

or, C = 5.4632296245926504416865368435231‬ mm.

Thus, the value of the circumference (C) of a circle, having a radius (r) = 0.8695 mm, using the formula C = 2πr, is calculated to be <u>5.4632296245926504416865368435231‬ mm</u>.

Learn more about the circumference of a circle at

brainly.com/question/12823137

#SPJ1

6 0
1 year ago
Volume of sun is 1.4×10^18 and volume of earth is 1.1×10^12 how many earth can fit in the sun
Advocard [28]
\frac{1.4\cdot10^{18}}{1.1\cdot10^{12}}=&#10;1.(27)\cdot10^6=1272727.(27)

1272727 \hbox{ Earths}

6 0
3 years ago
1) Find EB, if AE = 3 cm , EB = x + 3 cm, DE = 6 cm and EF = x - 2 cm
lawyer [7]
1) B  



2) C 


can you help me? since I helped you?
                            
7 0
3 years ago
The measure of arc LK is?
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80

5 0
3 years ago
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