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pshichka [43]
3 years ago
5

The mean salary offered to students who are graduating from Coastal State University this year is $24,245, with a standard devia

tion of $3643. A random sample of 80 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 80 students is $23,500 or less

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:  The probability that the mean salary offer for these 80 students is $23,500 or less equals to 0.4054

Step-by-step explanation: Please find the attached file for the solution

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attashe74 [19]
B and c I believe ..........
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G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d
____ [38]

By definition of covariance,


\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]


\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]


We have


\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]

=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd


\mathbb E[aX-b]=a\mathbb E[X]-b


\mathbb E[cY-d]=c\mathbb E[Y]-d


\mathbb E[aX-b]\mathbb E[cY-d]=ac\mathbb E[X]\mathbb E[Y]-ad\mathbb E[X]-bc\mathbb E[Y]+bd


Putting everything together, we find the covariance reduces to


\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)


as desired.

5 0
3 years ago
What is sin A=0.3784 rounded to the nearest whole degree
DENIUS [597]

Answer:

∠A = 22°

Step-by-step explanation:

Given:

\sin (A)=0.3784

We take inverse of sine to find angle A.

So, \angle A=sin^{-1}(0.3784)=22.23°

22.23° rounded to nearest whole degree is 22°.

∴ \angle A=22°.

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3 years ago
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Norma-Jean [14]

The final solutions are C1=7, C2=14


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3 years ago
3.Not Answered 4.Not Answered 5.Not Answered 6.Not Answered 7.Not Answered 8.Not Answered 9.Not Answered 10.Not Answered 11.Not
tino4ka555 [31]

Answer:

The answer to your question is Dependent Variable.

In a linear regression model, the variable that is being predicted or explained is known as Dependent Variable . It is denoted by y and is often referred to as the response variable

Step-by-step explanation:

I don't really know how to explain sorry.

Brainliest pls! :)

8 0
3 years ago
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