A chemical supply company currently has in stock 100-lb of a certain chemical, which it sells to customers in 5-lb lots. Let X = the number of lots ordered by a randomly chosen customer, and suppose that X has pmf: 2 3 4 P(x) .2 .3 .3 .2 Given E(X) = 2.5, compute o x. Express your answer using 3 decimal places (i.e., x.XXX).

Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

A: Given: Tn+2=12Tn+1+Tn for n≥0 T0=a T1=b To find: The limit of Tn as n→∞.

Q: An certain brand of upright freezer is available in three different rated capacities: 16 ft, 18 ft,…

A: given X 16 18 20 P(X) 0.5 0.3 0.2 E(X)=17.5 E(X2) = 305.2 V(X)=2.44

Q: The ODE ty" – 3ty' + 3y = t* has a particular solution Yp(t)

A:

Q: Solve the IVP d3 t3X(t) - 9x(t) = 18 e-3t dt x(0) =8 x'(0) = 9 x"(0) = 0 then find x(0.5) accurate…

A:

Q: Find the particular solution for f(x) with the given initial conditions. f''(x) = 4x3 and f'(1) = 5…

A: Given,           f''x=4x3  and f'1=5  and f0=50

Q: Evaluate the given function (e2x – 1)dx = (e2x + 3)(ev – y°)dy is equal to.. 3y°+1 A.- e +1 x+3ev -…

A: We need to solve the given differential equation.

Q: If x¨ + x˙ − 6x = e ^−t, with x (0) = x˙ (0) = 0, what is X (s)?

A:

Q: The pmf for X = the number of major defects on a randomly selected appliance of a certain type in a…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q:

A: We have given geometric distribution and two statistics associated with it and we have to check…

Q: A series circuit consists of a resistor with R = 20 Q, a capacitor with C = 0.01 F, and a decaying…

A:

Q: Determine the critical value of x2 with 1 degree of freedom in each of the following…

A: a) The level of significance is 0.01.

Q: 15. If g(x) and h(x) are both antiderivatives of some func- tion f(x), then what can you say about…

A: Consider that gx and hx are both antiderivative of function fx. Find gx-hx.   Since gx and hx are…

Q: inspecting devices to sample a fraction of their output for quality control purposes. The first…

A:

Q: Compute the x(1) and x(4) for the function x(t) that satisfies the initial problem. x"(t) + 2x'(t) +…

A:

Q: The function h(x) given by h(x) = –6 – 8.2944x - 4/5x + 3.84x³ has a critical number c = = -1.2.

A: We have given function hx=-6-8.2944x-45x5+3.84x3 and critical number c=-1.2

Q: Consider the following 1* order initial value problem: with y(1) = 1 t(1 +t) ' 1 + t(c+t) For which…

A: Linear differential equation

Q: Solve the initial-value problem for æ as a function of t . de = 3, x(2) = 0 (2t° – 2t? + t – 1

A: First, we separate the variables.

Q: Let X =1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a…

A: Given that X=1 if a randomly selected vehicle passes an emission test and X=0 otherwise and X is a…

Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

A:

Q: For the sum п-1 n n+1 ΣΣ(1+ j=1 k=j+1 l=j that we encountered in the analysis of the running time of…

A: During the calculation of running time of Gaussian elimination, we encounter the sum…

Q: 4. Let X-f(x;8) where f(x;0) = 0 (1-0)-10.1)(x), 8 € [0,1/2]. %3D a. Find the MME and MLE of e. b.…

A: Given that  X~ f(x,θ) where the probability mass function of X   X follows the Bernoulli…

Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5…

A: Consider f(x)=y=ex. Differentiate with respect to x  f'(x)=ex Again differentiate with respect to x…

Q: is the largest interval on which the following initial value problem is guaranteed to have a e…

A:

Q: Q2: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý-y=e*

A:

Q: 39. Suppose c and d are not both 0, and let ax + b f(x) : cx + d Show that fhas no critical numbers…

A: Please see the explanation below

Q: . In one model of the changing population P(t) of a community, it is assumed that 4 = -, where and…

A: As we have to solve for p(t) in (a) so there is clearly  a misprint it should be dD/dt in place of…

Q: Suppose that T is to be found from the formula T = x (ey + e-y), where x and y are found to be 2 and…

A:

Q: d [e'- In (21+1)]dt, find g(x) . dx -2 A ex-In(2x+1) 2 B ex_ (2x + 1)2 4 C (2x + 1)² 4 D (2x + 1)²…

A:

Q: 2. Give an example of a regulated function f on [0, 1] such that f(x) > 0 for all æ e (0, 1), So…

A:

Q: If 8(x) = [e²-m (21+ - dx S[e²-In (21+1) ]dt, find g(x). -2 A e-In(2x+1) 4 B (2x + 1)² 2 Ⓒ (2x + 1)²…

A:

Q: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

A:

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

Q: Compute the following values for the given function. h(s, t) = 2s ln(t) − 7t ln(s) h(1, e) =…

A: a) Given that s=1 and t=e  Then we plug the values in the formula and simplify

Q: 4. In one model of the changing population P(t) of a community, it is assumed that dP dt dB dD dB…

A:

Q: If f(x) = x(e*+) , then f'(x) = %3D (A) (e + x³) x(e²+x²-1) (B) (e" + 5x*) In(x) æ(c*+z*) (C) (e* +…

A: To find f'(x) for the given function

Q: a'(t) = -x(t – 1), x(t) = 1 on [-1,0], is given by 1(t) = E(-1)* t – (k – 1))* k! for n-1<t <n, k=0

A: As per the question we are given the following first order time varient differential equation :…

Q: [MO51] Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous a.…

A: The Given P.D.Es are        (a) y+22∂2u∂x2-2xlogy∂2u∂y2+k∂u∂y-u=2e-x, k&gt;0       (b)…

Q: Given that X has pmf f(x)=1/(2)^(x+1) , x=0,1,2,... and et<2 , use mgf technique to…

A: Given: X has the pmf as follows, f(x)=1/(2)^(x+1) , x=0,1,2,...et&lt;2

Q: (3) In one model of the changing population P(t) of a community it is assumed that dP dB dD dt dt dt…

A:

Q: Evaluate the given function (e²x – 1)dx = (e2* + 3)(e" – yº)dy is equal to. 3y°+1 = x + 3e –…

A:

Q: If X and Y are independent and identically distributed exponential variables with parameter X = 4,…

A: We have given : X &amp; Y = independent and identically distributed exponential variables Parameter…

Q: The ODE ty" – 2ty' + 2y = t has a particular solution Yp(t)

A:

Q: [If the solution of the following initial value probiem is y(x), find y(6)]. S 6xy' – by = 9x, ly(1)…

A:

Q: • In z Find F" (2) if F(x) et dt a² _4 O A. 1 O B. 0 Ос. -2 O D. -4 O E. –3

A: Given:         Fx=∫x2-4ln xet dt                 =etx2-4ln x                 =eln x-ex2-4…

Q: Consider a poputation Piti satistying the extinction expiosion equation-ap - bP. where B= aPis the…

A: Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

Q: Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous a. (y +…

A: Linear PDE: If the dependent variable and all its partial derivatives occure linearly in any PDE…

Q: Compute T2(x) at x = 1 for y = eª and use a calculator to compute the error |e – T2(x)| at x = -1.5.…

A:

Q: Find the initial value of f(t), if: 2(s + 2) s(s + 1)(s + 3) F(s) = -

A:

Q: In order to maximize tomato yield we are interested in whether using different cultivars of tomatoes…

A: Solution: Given information: k= 4  groups  Five plants of each group  n1=n2=n3=n4=…

Q: eAt = I + At + A²2 + + 2! k! k=0 o compute eAt and e-At (; ) 1 A = 0 2 eAt = e-At Need Help? Read It

A: Given, eAt=I+At+A2t22+...+Aktkk!=∑k=0∞Aktkk! A=1002A2=10021002=120022⋮Ak=1002⋯1002=1k002k

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.