1

QUESTIONX1Xz X16independent random varlables each having slandard normal distribution and Yi, Yz -'Ys having Chi-square distrbution with degrees of freedom:...

Question

QUESTIONX1Xz X16independent random varlables each having slandard normal distribution and Yi, Yz -'Ys having Chi-square distrbution with degrees of freedom: State the distnbution and parameter(s) of the following variables:a) U =2x1 ' Xa + Xs + Xz]-3Xz(3 marks)b) K = 5 where U is defined in (a)marks c) V =xZ-X?+Ys -K2_(3 marks}s-Xy(2 marks)Jsk 0} W =(2 marks)CU2 0 Let Q = follaws F-distribution with parameters the value constant write the degrees of freedom for Qrespectively- Detemi

QUESTION X1Xz X16 independent random varlables each having slandard normal distribution and Yi, Yz -'Ys having Chi-square distrbution with degrees of freedom: State the distnbution and parameter(s) of the following variables: a) U =2x1 ' Xa + Xs + Xz]-3Xz (3 marks) b) K = 5 where U is defined in (a) marks c) V =xZ-X?+Ys -K2_ (3 marks} s-Xy (2 marks) Jsk 0} W = (2 marks) CU2 0 Let Q = follaws F-distribution with parameters the value constant write the degrees of freedom for Q respectively- Detemine marks}

Similar Solved Questions

Table below represent the pared data (x, Y) consisting of average ages of ma drivers and number 0f crashes involving male driversNumber of Number of crashes Average of male licensed involivng male group age; X drivers (0OOs) (OOOs):Age group 20-241052 77690180-84400Use Excel to make scatter plot (Detailed Manual is provided on Brightspace Express your opinion whether there relationship between age and the number of crashes_Use Exce to create (four) regression models for the given data set: LINE
Table below represent the pared data (x, Y) consisting of average ages of ma drivers and number 0f crashes involving male drivers Number of Number of crashes Average of male licensed involivng male group age; X drivers (0OOs) (OOOs): Age group 20-24 1052 776 901 80-84 400 Use Excel to make scatter p...
LeU Determine the volume of the solid obtained by rotating thc region bounded by the curves Y e(x-V)? and = about the line (-)-d)= x-e-1
LeU Determine the volume of the solid obtained by rotating thc region bounded by the curves Y e(x-V)? and = about the line (-)-d)= x-e-1...
Use the trapezoidal rule with n =approximatedx and use the fundamental theorem of calculus to find the exact value of the definite integral.The pproximate value of the integral from the trapezoidal rule is Simplify your answer)The exact value of the definite integral is (Simplify your answrer:)
Use the trapezoidal rule with n = approximate dx and use the fundamental theorem of calculus to find the exact value of the definite integral. The pproximate value of the integral from the trapezoidal rule is Simplify your answer) The exact value of the definite integral is (Simplify your answrer:)...
The population P (in thousands) of a city in China from 1990 through 2015 can be modeled by P (t) = 67.2e0.0467t wheret is the time in years with t = corresponding to 1990.a) To thenearest hundred, find the population in 1990,2000,and 2010. (1pt each) b) Explain why the data do not fit a linear model: (2 pts ) c) Use the model to estimate when the population will exceed 200.000. (2 pts:)
The population P (in thousands) of a city in China from 1990 through 2015 can be modeled by P (t) = 67.2e0.0467t wheret is the time in years with t = corresponding to 1990. a) To thenearest hundred, find the population in 1990,2000,and 2010. (1pt each) b) Explain why the data do not fit a linear mo...
WuIakarThe figure below show ru%city ofun chicchforO <1<6.Uo)eI(sx)Clalefollowing estiuule \$ of dhc Jistunce Vle oblee! Unavcla bcluecu dihince Iecicaunu Indiculo * licthc eTeult |upattUutnmrechumnimanannAclltutn Wth HhubuitatI;The dilance trveled enualedtut Number(Click Ior List)This(Click ior List)AnehiaunzuhdivicinntLc UlAcc UalcicoAetunmledRumbur(Click ior List) #This i (Clck Ior List)
WuIakar The figure below show ru% city ofun chicchforO <1<6. Uo)e I(sx) Clale following estiuule \$ of dhc Jistunce Vle oblee! Unavcla bcluecu dihince Iecica unu Indiculo * licthc e Teult | upatt Uutnmrechumnimanann Aclltutn Wth H hubuitatI; The dilance trveled enualedtut Number (Click Ior List...
What is the hybridization of the P; C, and 0 atoms in the molecule below? (Hint: Lone pairs may need to be added to complete this Lewis structure )sp3, sp3, Sp3b) sp2, sp2 , spsp? , sp3 , spSp3 sp2 , sp2sp? , sp2 , sp2
What is the hybridization of the P; C, and 0 atoms in the molecule below? (Hint: Lone pairs may need to be added to complete this Lewis structure ) sp3, sp3, Sp3 b) sp2, sp2 , sp sp? , sp3 , sp Sp3 sp2 , sp2 sp? , sp2 , sp2...
HomeworkItis known that the probability of selecting a bluie ball Irom a bag i5 0 4 Jltis known that Ihc probability of selectirg & blue ball from & bag IS 0 4 (a) If there [5 80 balls in (he bag, how many blue balls are In (he bug? kb) If there are 28 blue balls In the bag how Irary balls are in Ihe bag?
homework Itis known that the probability of selecting a bluie ball Irom a bag i5 0 4 Jltis known that Ihc probability of selectirg & blue ball from & bag IS 0 4 (a) If there [5 80 balls in (he bag, how many blue balls are In (he bug? kb) If there are 28 blue balls In the bag how Irary balls ...
[-/1 Points]DETAILSLARCALCETZ 11.4.025.ML:Find the area of the triangle wlth the given vertlces_ Hint: Zilu xvll is the area of the triangle having and as adjacent sides A(0, 0, 0), B(3, 0, 5), C(-3, 2, 0)Need Help?BadllMaichlcGuamt IC[-/1 Points]DETAILSLARCALCET7 11.4.036Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u V, and (1, 3, 1) (0, 6, 6) (-45Need Help?Riadhl
[-/1 Points] DETAILS LARCALCETZ 11.4.025.ML: Find the area of the triangle wlth the given vertlces_ Hint: Zilu xvll is the area of the triangle having and as adjacent sides A(0, 0, 0), B(3, 0, 5), C(-3, 2, 0) Need Help? Badll Maichlc Guamt IC [-/1 Points] DETAILS LARCALCET7 11.4.036 Use the triple ...
Prove the following: Let A be ahl m X n matrix If A has pivot position in every TOW then for each b e R" the equation Az = b has a solution_Hint: This closely resembles known theorem; but YOu cannot prove the statement by citing the theorem Use definitions to establish the statement_
Prove the following: Let A be ahl m X n matrix If A has pivot position in every TOW then for each b e R" the equation Az = b has a solution_ Hint: This closely resembles known theorem; but YOu cannot prove the statement by citing the theorem Use definitions to establish the statement_...
Provide the ion symbol for each of the following elements_ (2 points)a) phosphideIon Symbol:b) calcium cationIon Symbol:Complete the following table regarding ions and ionic compounds (10 points)Name Of Ionlc CompoundCation SymbolAnion SymbolChemical FomulaSodium sulfateIron (III) oxideMns(POskOH `Caz"Provide the name formula for Ihe following covalent (molecular) compounds_ pts)a) iodine pentalluorideb) P4O1oc) hexasulfur dioxided) NzOz
Provide the ion symbol for each of the following elements_ (2 points) a) phosphide Ion Symbol: b) calcium cation Ion Symbol: Complete the following table regarding ions and ionic compounds (10 points) Name Of Ionlc Compound Cation Symbol Anion Symbol Chemical Fomula Sodium sulfate Iron (III) oxide M...
Mr: Smith dropped a marble off of the press box; which took 1.32 seconds to hit the ground. Ignoring air resistance; calculate the height (h) of the press box:GivenEquationWorkAnswersec mls?h=%gtHow long did it take your egg drop device to hit the ground? {= 3.8 secWhat is the mass of your device?m = 0.55 kgThe mass of the egg is 0.05 kg: What is the mass of the egg & your device? kg (2)
Mr: Smith dropped a marble off of the press box; which took 1.32 seconds to hit the ground. Ignoring air resistance; calculate the height (h) of the press box: Given Equation Work Answer sec mls? h=%gt How long did it take your egg drop device to hit the ground? {= 3.8 sec What is the mass of your d...
Exercise I: Integral of the exponential Consider a rcal number 8 / 0.Use left Riemann sums to computeBt dt,where a < b are two rcal numbers You will need to know that for any real numbcr r h1, 2 i=0In the formula obtained in Question 1, rcplace by Fx and b by In x (with â‚¬ > 0). This gives a function of â‚¬ which we denote G(z). Compute G' (z). Note that we have G(z) dt.Compute G' (z) using FTC 1 (without using the formula of Question 1) Check that you obtain the samc result as
Exercise I: Integral of the exponential Consider a rcal number 8 / 0. Use left Riemann sums to compute Bt dt, where a < b are two rcal numbers You will need to know that for any real numbcr r h1, 2 i=0 In the formula obtained in Question 1, rcplace by Fx and b by In x (with â‚¬ > 0). This ...
Below is the share price of FTSE Malaysia KLCI (KLSE) for the past 10 months_ Obtain a trend value for this data using exponential smoothing with a smoothing constant of & 0.4. Hence, find the forecasted share price for the month of APRIL 2020. (Please round up the forecasted figure to decimal places)_Date 2019-Jun 2019-Jul 2015 9-Aug 2019-Sep 2019-Oct 2019-Nov 2019-Dec 2020-Jan 2020-Feb 2020-MarPrice (RM) 1.672.13 1.634.87 1,612.14 1,583.91 1,597.98 1,561.74 1,588.76 1,531.06 1,482.64 1,350
Below is the share price of FTSE Malaysia KLCI (KLSE) for the past 10 months_ Obtain a trend value for this data using exponential smoothing with a smoothing constant of & 0.4. Hence, find the forecasted share price for the month of APRIL 2020. (Please round up the forecasted figure to decimal p...
The Earth completes one eastward rotation every 23.935 h =86,164 s (close to 24 h). For this problem, assume that theEarth is a perfect sphere, and use these physicalvalues: 1 gee = 9.800 m/s2 REarth = 6.384 Ã— 106 m (at equator)1. Due to the Earthâ€™s rotation, what isyour linear (tangential) speed if youare located on the Earthâ€™s equator? Convert your final answerto mph: ___ miles/hour2. While located on the equator, what isthe magnitude ofyour centripetal (radial)acceleration (the acceler
The Earth completes one eastward rotation every 23.935 h = 86,164 s (close to 24 h). For this problem, assume that the Earth is a perfect sphere, and use these physical values: 1 gee = 9.800 m/s2 REarth = 6.384 Ã— 106 m (at equator) 1. Due to the Earthâ€™s rotation, what is your linear (t...
Question 3 Exponential Distribution (30 points) The inter-arrival time of customers into a bank is exponentially distributed with a mean of u minutes a) What is the probability that the inter-arrival time of a random customers is more than 7 minutes? [10 points] b) What is the probability that the inter-arrival time ofa random customers is less than 5 minutes? [10 points] c) Suppose that no customer arrived in the past M minutes. What is the probability that the next Customer arrives within the
Question 3 Exponential Distribution (30 points) The inter-arrival time of customers into a bank is exponentially distributed with a mean of u minutes a) What is the probability that the inter-arrival time of a random customers is more than 7 minutes? [10 points] b) What is the probability that the i...
4. A certain lightning bolt moves 40.0 C of charge. How many fundamental units of charge Iqe| is this?
4. A certain lightning bolt moves 40.0 C of charge. How many fundamental units of charge Iqe| is this?...