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# In Exercises 87 and $88,(a)$ show that the nonnegative function is a probability density function, (b) find $P(0 \leq x \leq 4),$ and (c) find $E(x) .$ $f(t)=\left... ## Question ###### In Exercises 87 and$88,(a)$show that the nonnegative function is a probability density function, (b) find$P(0 \leq x \leq 4),$and (c) find$E(x) .f(t)=\left\{\begin{array}{ll}{\frac{1}{7} e^{-t / 7},} & {t \geq 0} \\ {0,} & {t<0}\end{array}\right.$In Exercises 87 and$88,(a)$show that the nonnegative function is a probability density function, (b) find$P(0 \leq x \leq 4),$and (c) find$E(x) .f(t)=\left\{\begin{array}{ll}{\frac{1}{7} e^{-t / 7},} & {t \geq 0} \\ {0,} & {t<0}\end{array}\right.$## Answers #### Similar Solved Questions 4 answers ##### Homew ork #7, Fart B Due at the Start of Class Monday October 28, 2019The owner of _ chain of eleven retail stores wished compare the number of shoplifter apprchensions in his stores [)r one-morth period prior thcinctuaton Oi security system t0 thc number of apprehension: in sanie slores for ~month period after the new security system waS place. Did the new security system result in diffcrent level of shoplifter The data appcar in the table below_ detection?Store Old Security New Security Kstem Homew ork #7, Fart B Due at the Start of Class Monday October 28, 2019 The owner of _ chain of eleven retail stores wished compare the number of shoplifter apprchensions in his stores [)r one-morth period prior thcinctuaton Oi security system t0 thc number of apprehension: in sanie slores for ~month... 4 answers ##### Define[0.1] ~ Rby f(r) = 0 for 0 < r < 1/2 and f(r) = L for 1/2 < r < 1. For n â‚¬ N let Pz {0, be thc regular partition of size for [0. 1]: Compute U(f .FPza) and L(f . Pze) . the upper and lower Riemann Sums for on Pzn. Deduce that f is Ricmann integrable - Jo,1/, and evaluate J' f(x) dx. Remark: this problem gives eXaumple of KicHa integrable function which is not COHtiHUQUS Define [0.1] ~ Rby f(r) = 0 for 0 < r < 1/2 and f(r) = L for 1/2 < r < 1. For n â‚¬ N let Pz {0, be thc regular partition of size for [0. 1]: Compute U(f .FPza) and L(f . Pze) . the upper and lower Riemann Sums for on Pzn. Deduce that f is Ricmann integrable - Jo,1/, and evaluate J&#... 5 answers ##### Pt) Find the general solution of the homogeneous equation 1fy' Iy = 1 +y. To solve this we should use the substitution U = help (formulas) Or, writlng y and y in terms Ol I , and U" we haveVtrvhelp (formulas)After the substitution from the previous part;, we obtain the following linear differential equation in T , 0 ,0'. v=(1+V^2)x help (equations)The general solullon t0 Ihe original dilferentlal equalion (use tor Ihe arbitrary constant): help (equations) pt) Find the general solution of the homogeneous equation 1fy' Iy = 1 +y. To solve this we should use the substitution U = help (formulas) Or, writlng y and y in terms Ol I , and U" we have Vtrv help (formulas) After the substitution from the previous part;, we obtain the following linear ... 5 answers ##### Is it logical for someone to say there is life in outer space other than as we understand it? Now when discussing this do not focus on whether there is life in outer space as no one knows that but whether it can be as we understand it or not: Is it logical for someone to say there is life in outer space other than as we understand it? Now when discussing this do not focus on whether there is life in outer space as no one knows that but whether it can be as we understand it or not:... 3 answers ##### Wouadojd 01 HJAUOJ 01 %0*SS JOJ JY1] I IILM Juol Moy JnoqB "auedoudopoko aind 4IIM BuQeIs +oi X OL'9Jo iuCiSUOJ J1EJ 4uM Sopau!y Jopjo-JSIIJ SMOI[OJ JoOOS I8 auadoud 01 auedoudojoks Jo UOLJE31 UOVEZHJWIOS! J4L "0[8+0' 009*0 Ooz 0 9[0z0 O0z= Ooz 0 +oso 0 Ooz 0 001*0 (S/W) 3184 (W) [a] (W) [vl Jujupuadx] (S)av ~ (8)8 + ()v Jo JUBISUOJ J1EJ 341 JIEULIS? "BIEp Sulmolo J41 UJNID *6 6X 006 JE Jzuiequov 7 00*8 UE U! pooeid S! IJSHT) 8 ZZEZ J! J1BJ UOLIOBJJ J41 S! 184m 4006 IE s wouadojd 01 HJAUOJ 01 %0*SS JOJ JY1] I IILM Juol Moy JnoqB "auedoudopoko aind 4IIM BuQeIs +oi X OL'9Jo iuCiSUOJ J1EJ 4uM Sopau!y Jopjo-JSIIJ SMOI[OJ JoOOS I8 auadoud 01 auedoudojoks Jo UOLJE31 UOVEZHJWIOS! J4L "0[ 8+0' 009*0 Ooz 0 9[0z0 O0z= Ooz 0 +oso 0 Ooz 0 001*0 (S/W) 3184 (W... 5 answers ##### Determine if the equation represents y as a function of 7. x2 +y2 =4Cp Determine if the equation represents y as a function of 7. x2 +y2 =4 Cp... 5 answers ##### 3) (5 point) a) Graph the function (2x g(x) = (x -1x < 6 x26(10 point) b) By using the definition of continuity determine the g(x) is continuous or discontinuous at X= 4and x = 6 ? 3) (5 point) a) Graph the function (2x g(x) = (x -1 x < 6 x26 (10 point) b) By using the definition of continuity determine the g(x) is continuous or discontinuous at X= 4and x = 6 ?... 5 answers ##### Question Completion Status:s(t) = 100 16 W 16t2 , 25t velocity on the 100. tlme interval [0,2] of an object moving according to the nositon functionCalculate QUESTION 5 the following Ilmlt: im7x+10 Question Completion Status: s(t) = 100 16 W 16t2 , 25t velocity on the 100. tlme interval [0,2] of an object moving according to the nositon function Calculate QUESTION 5 the following Ilmlt: im 7x+10... 5 answers ##### IA. 1 [Cross: foforeintg H with the 1 JV genotypes are crossed What are the 1 the633 1d0in IA. 1 [ Cross: foforeintg H with the 1 JV genotypes are crossed What are the 1 the 6 33 1d0in... 5 answers ##### WuncTAz0om 0l tencing und mants {ornllot reclnzular fiela tordertne alonc the nvor Let repretent tha Wdth olihe feldIntk Ing nrdrdWrite an expression for the length of the field Find the area of the field Find the value of x leading to the maximum rea using calculus)d, Find the maximum area WuncT Az0om 0l tencing und mants {ornllot reclnzular fiela tordertne alonc the nvor Let repretent tha Wdth olihe feld Intk Ing nrdrd Write an expression for the length of the field Find the area of the field Find the value of x leading to the maximum rea using calculus) d, Find the maximum area... 1 answers ##### Find the integrals. 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##### Find all the second partial derivatives of f (2,y) = ln (1 + sin (zy)
Find all the second partial derivatives of f (2,y) = ln (1 + sin (zy)...
##### (1 point) If f(t) = 4t1 4 find f' (t).f' (t) =
(1 point) If f(t) = 4t1 4 find f' (t). f' (t) =...