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MissTica
3 years ago
14

Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normal

ised scores are recorded on each between 0 and 1. For a given applicant, let XX be the score on the writing test and YY the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as:
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

hello your question is incomplete attached below is the complete question

<em>answer</em> :   1

Step-by-step explanation:

Given Function:

F(x,y)=\left \{ {{1/4(2x+y)} \atop {0}} \right.      for    0<x<1, 0<y<2

                                            elsewhere.

Evaluating the marginal density of the writing test score at point

X = 1/2  = 1/4 ( 4x + 2 ) = 1/4 ( 4 * 1/2 + 2 ) = 1

attached below is the detailed solution

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6 0
3 years ago
Julie cashed a paycheck and repaired her brother $10 that she borrowed from him. She then spent $30 on fuel for her car and half
pochemuha
Remark
She starts out with x
She spends 10 dollars paying back her brother (that's - 10)
She spends 30 dollars on fuel (that - 30)
She spends 1/2 what's left on a tent ( that's 1/2 (x - 10 - 30) )
She then spent 29.45  on running shoes. 1/2 (x - 10 - 30) + 29.45 is her expenditures.

After all that she has 17.75 left. 

Equation
x - 10 - 30 - 1/2(x - 10 - 30) - 29.45 = 17.75   

Solve
Begin by adding 29.95 to both sides. 
x - 10 - 30 - 1/2(x - 10 - 30)  = 17.75 + 29.45 
x -10 - 30 - 1/2(x - 10 - 30)  = 47.20  Add the like terms on the left.
x - 40 - 1/2(x - 40) = 47.20 Add 40 to both sides. Don't go inside the brackets.
x - 1/2x + 1/2 (40) = 87.20
1/2 x + 20 = 87.20                        Subtract 20 from both sides.
1/2 x = 67.20                                Multiply by 2
x = 134.40 


3 0
3 years ago
Read 2 more answers
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