## Question

###### ExampleLet X and Y have a bivariate normal distribution with means px = 5 and py = 6. standard deviations Gx = 3 ad Oy = 2, and covariaiice eV(xy) P= OxY = 2) Let $ denote the cumulative distribution function of a normal random variable with mean 0 and variance 1. What is P(2 < X ~ Y < 5) in terms of $ ? 0(2) Pc2<2) a=| b-I Covxy 2 (2 <X-Y< 5) '~0 Cewly) Cov= |2 2= 5 4= 6

Example Let X and Y have a bivariate normal distribution with means px = 5 and py = 6. standard deviations Gx = 3 ad Oy = 2, and covariaiice eV(xy) P= OxY = 2) Let $ denote the cumulative distribution function of a normal random variable with mean 0 and variance 1. What is P(2 < X ~ Y < 5) in terms of $ ? 0(2) Pc2<2) a=| b-I Covxy 2 (2 <X-Y< 5) '~0 Cewly) Cov= |2 2= 5 4= 6

## Answers

#### Similar Solved Questions

5 answers

##### HW13-Martins: Problem 5 Prev Up Next(1pt) Use Green's Theorem t0 evaluate the line integral fcvo dx+x6 dy where C is the boundary of the square ~1 < x < 1, ~1<y < [ oriented counterclockwise fcvo dx+x6 dyPreview AnswersSubmit AnswersYou have attempted this problem 0 times You have unlimited attempts remaining:Email instructor

HW13-Martins: Problem 5 Prev Up Next (1pt) Use Green's Theorem t0 evaluate the line integral fcvo dx+x6 dy where C is the boundary of the square ~1 < x < 1, ~1<y < [ oriented counterclockwise fcvo dx+x6 dy Preview Answers Submit Answers You have attempted this problem 0 times You ha...

5 answers

##### Find f(x) dx for the graph of y = f(x) where f(x) consists of line segments and circular arca.Kx) dx =Wpe an exact answer; using 1 as needed )

Find f(x) dx for the graph of y = f(x) where f(x) consists of line segments and circular arca. Kx) dx = Wpe an exact answer; using 1 as needed )...

4 answers

##### Question 17 of 18Determine the pH at the point in the titration of 40.0 mL of 0.200 M HCAH-Oz with 0.100 M Sr(OH)z after 100.0 mL of the strong base has been added The value of Ka for HCAHzOz is 1.5 10NEXTUse the table below to determine the moles of reactant and product ater the reaction of the acid and base. You can ignore the amount of liquid water in the reaction.HCAH-Oz(aq)OH-(aq)HzO()CAH-Oz (aq)Before (mol) Change (mol) After (mol)RESET

Question 17 of 18 Determine the pH at the point in the titration of 40.0 mL of 0.200 M HCAH-Oz with 0.100 M Sr(OH)z after 100.0 mL of the strong base has been added The value of Ka for HCAHzOz is 1.5 10 NEXT Use the table below to determine the moles of reactant and product ater the reaction of the ...

5 answers

##### 3_ At this point we have found a recurrence relation for the sequence of loan balances We now find an explicit formula for Bn Beginning with the first month, we know B = 1.005 Bo 500. After the second payment; the loan balance is Bz = 1.0052Bo 500(1 + 1.005). Show that after the third payment; the loan balance is B3 = 1.005*Bo - 500(1 +1.005 + 1.0052)_

3_ At this point we have found a recurrence relation for the sequence of loan balances We now find an explicit formula for Bn Beginning with the first month, we know B = 1.005 Bo 500. After the second payment; the loan balance is Bz = 1.0052Bo 500(1 + 1.005). Show that after the third payment; the l...

4 answers

##### Cast-Iron tube is used to support & compressive load It Is glven that E= 69 GPa and the maximum allowable change In length Is 0.019%. NOTE: This is a multi-part question Once an answer is submitted, you will be unable t0 return t0 this pant:Determine the maximum norma stress In the tube_The maximum normal stress in the tube is MPa:

cast-Iron tube is used to support & compressive load It Is glven that E= 69 GPa and the maximum allowable change In length Is 0.019%. NOTE: This is a multi-part question Once an answer is submitted, you will be unable t0 return t0 this pant: Determine the maximum norma stress In the tube_ The m...

4 answers

##### Let X follow a normal distribution with mean 11 and standard deviation 2. If P(X>c)-0.0212 then c equals (J4i; 2)6.940.978814.0612.2515.06

Let X follow a normal distribution with mean 11 and standard deviation 2. If P(X>c)-0.0212 then c equals (J4i; 2) 6.94 0.9788 14.06 12.25 15.06...

5 answers

##### 60-"9 Person"s tWo fct[ cover an aled Ut A=107 cm* Assumie the prvson i5 at rest ona iool wnat is the pressurc under that fool (Puj? Consider 9 10 mVs!224299B. 6/299744859821i2150None

60-"9 Person"s tWo fct[ cover an aled Ut A=107 cm* Assumie the prvson i5 at rest ona iool wnat is the pressurc under that fool (Puj? Consider 9 10 mVs! 224299 B. 6/2997 448598 21i2150 None...

1 answers

##### Find each sum. The sum of the first 46 terms of the sequence $$ 2,-1,-4,-7, \ldots $$

Find each sum. The sum of the first 46 terms of the sequence $$ 2,-1,-4,-7, \ldots $$...

5 answers

##### A company publishes a deluxe edition and a standard edition of its English language dictionary: The weekly demand and cost functions for these products are p = 20 0.005x 0.001y 15 0.001x 0.003y C(x) 300 + 12x + 15yWhere Sp is the price of a deluxe edition; Sq is the price of a standard edition, x is the demand for the deluxe edition; andy is the demand for the standard edition. a) Find the total revenue and profit functions R(x,Y) and P(x;- y) b) Evaluate Px(300,200)and interpret your result: Be

A company publishes a deluxe edition and a standard edition of its English language dictionary: The weekly demand and cost functions for these products are p = 20 0.005x 0.001y 15 0.001x 0.003y C(x) 300 + 12x + 15y Where Sp is the price of a deluxe edition; Sq is the price of a standard edition, x i...

5 answers

##### Solve the inequality. Then graph the solution set.$$x^{2}+2 x-3<0$$

Solve the inequality. Then graph the solution set. $$x^{2}+2 x-3<0$$...

1 answers

##### A rectangular solid has a length of $6.8 \mathrm{m},$ a width of $2.5 \mathrm{m},$ and a height of $2 \mathrm{m} .$ Find the volume of the solid.

A rectangular solid has a length of $6.8 \mathrm{m},$ a width of $2.5 \mathrm{m},$ and a height of $2 \mathrm{m} .$ Find the volume of the solid....

1 answers

##### Perform each operation if possible. $$2\left[\begin{array}{rrr} 2 & -1 & -1 \\ -1 & 2 & -1 \\ -1 & -1 & 2 \end{array}\right]+3\left[\begin{array}{lll} 1 & 2 & 3 \\ 2 & 1 & 3 \\ 2 & 3 & 1 \end{array}\right]$$

Perform each operation if possible. $$2\left[\begin{array}{rrr} 2 & -1 & -1 \\ -1 & 2 & -1 \\ -1 & -1 & 2 \end{array}\right]+3\left[\begin{array}{lll} 1 & 2 & 3 \\ 2 & 1 & 3 \\ 2 & 3 & 1 \end{array}\right]$$...

5 answers

##### A particle is being moved along the straight axis by a forcethat measures 10/(1 + x)2 pounds at a point x feetfrom the initial point. Find the work performed in moving theparticle 9 feet

A particle is being moved along the straight axis by a force that measures 10/(1 + x)2 pounds at a point x feet from the initial point. Find the work performed in moving the particle 9 feet...

5 answers

##### Let f(x,y)=y^2 +xy-3x+y+2. find the xritical point of this function. what is the x-value of the critical point? what is the y-value of the xritical.point?

Let f(x,y)=y^2 +xy-3x+y+2. find the xritical point of this function. what is the x-value of the critical point? what is the y-value of the xritical.point?...

5 answers

##### 3 ] 37 I77T>7 M7 5The function graphed above is:Increasing on the interval(s) (2.4.3)PreviewDecreasing on the interval(s) (-1.5.2.6)PreviewGet help: Video

3 ] 37 I77T>7 M7 5 The function graphed above is: Increasing on the interval(s) (2.4.3) Preview Decreasing on the interval(s) (-1.5.2.6) Preview Get help: Video...

5 answers

##### Shown to the right are two positive "inlinite" parallel conducting sheets The Region Eleetrie field from ech sheet has Value "E (constantSheeLSheet Region BRegion â‚¬Three regions (A,B and CE ae shown Incuchof these regions; draw "E and "E z representing lhe fields in these regions Irom sheets and respeetively. Then show what their SUms would be for Each region below in terms of"E"RegionRegion BRegion â‚¬

Shown to the right are two positive "inlinite" parallel conducting sheets The Region Eleetrie field from ech sheet has Value "E (constant SheeL Sheet Region B Region â‚¬ Three regions (A,B and CE ae shown Incuchof these regions; draw "E and "E z representing lhe fields ...

5 answers

##### A particle moves In a straight Iine and has acceleratlon Ewven by a(t) = 2t 3 m/5". Its Inltial velocity [5+(0) 4mf and its initial displacement #(0) 6 m Find Its position function s(t}

A particle moves In a straight Iine and has acceleratlon Ewven by a(t) = 2t 3 m/5". Its Inltial velocity [5+(0) 4mf and its initial displacement #(0) 6 m Find Its position function s(t}...

5 answers

##### How many moles are in 89.7 g of purc aluminum?89.7 g Al =xlOHow many atoms are in 89.7 gof pure aluminum?89.7 g Al =:TOOLS X1o'

How many moles are in 89.7 g of purc aluminum? 89.7 g Al = xlO How many atoms are in 89.7 gof pure aluminum? 89.7 g Al = :TOOLS X1o'...