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VLD [36.1K]
3 years ago
7

Help a girl out pls! Lmkkk!

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0
I’m not too sure what the question is, please let me know! are you asking what the specific number of the weight of the coffee bean is?

if you divide the weight of the coffee cherry by 20%, you should get the individual weight of the coffee bean!

let me know if this helped, or if you need more help!:)
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Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive
PtichkaEL [24]
Looks like the PMF is supposed to be

\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65

Next,

\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25

\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5

\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2
\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5
\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}

If Y=X^2+1, then X^2=Y-1\implies X=\sqrt{Y-1}, where we take the positive root because we know X can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that Y can take on the values 1^2+1=2, 2^2+1=5, and 5^2+1=26. At these values of Y, we would have the same probability as we did for the respective value of X. That is,

\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}

Part (5) is incomplete, so I'll stop here.
8 0
3 years ago
If x = 5, y = 2 and z = 3 then xz (4y - 2z) is
WARRIOR [948]
(4x2-2x3)
(8-6)
xz=2

Hope this helps!
4 0
3 years ago
Read 2 more answers
How many cubes are needed to build this structure?
Elena-2011 [213]
Hello!

I believe that 8 cubes are needed to build the given figure

I hope this helps!
6 0
3 years ago
Read 2 more answers
What is 125 centimeters to 87.5 centimeters
bagirrra123 [75]
If you are asking how to subtract 125 centimeters and make it 87.5, you have to subtract from 125. The easiest way to do this is to subtract 87.5 from 125, getting 37.5. So, if you add 37.5 to 87.5, you will have 125. So, the correct answer is to subtract 37.5 to get 87.5.
3 0
3 years ago
Read 2 more answers
Find the volume of the prism (Picture Provided)
Alisiya [41]
Volume = 12 m³

V = lwh
V = 4(2)(1.5)
V = (8)(1.5)
V = 12 m³
4 0
3 years ago
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