Uniform random variables over the interval
Let x, y, z be i.i.d. uniform random variables over the interval [0,20]. Let U=min(X,Y,Z) V=max(X,Y,Z). Find E(U), E(V), Var(U), Var(V), Cov(U,V) and correlation coefficient of U and V.
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Sylvia has the apple orchard. One season, her 100 trees yielded 140 apples per tree. She wishes to increase the production by adding more trees to orchard.
Determine the numbers of hydrogens does diazepam have? Diazepam, marketed as an ant anxiety medication under the name Valium, has three rings, eight double bonds, and the formulaC16H? ClN2O.
The group of people could rent the social hall for $600. When five more people join venture cost per person is reduced by $10. Find how many people are in larger group?
Determine (i) the capacitance in pico-farads (ii) the magnitude of the charge in nano-coulombs on each plate (iii) the stored energy in micro-joules, (iv) the electric field in N/C among the plates (v) the energy density among the plates.
Illustrate how coefficients a,b,c, and d can be written in terms of p,q, and r. Show results by explaining roots of equation x3-2x2-2x+1=0.
What is the Ksp of lead(II) sulfate when a saturated solution of lead(II) sulfate can be prepared by diluting the 0.0101 g of PbSO4 to 250 mL.
An inductor and a resistor are joined in series across an AC generator. After the switch is closed: i) Current and voltage across inductor in phase?
The melting points of two alloys employed in formulating solder were investigated by melting 21 samples of each material. The sample mean and standard deviation for alloy 1 was X1= 420.48 and S1= 2.34. And for alloy 2 they were X2= 425 and S2=2.5
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