lim s n where s₁ = 1, and S n+1 = (1 – = -)Sn n+31 for n ≥ 1.

Q: (8) Let X-b(n, p), with E(X) = 6 and var(X) = 4.2, then P(X ≤ 6) = 0.608.

A: here given , E(X) = 6 var(X) = 4.2 for Binomial Distribution  mean = E(X) = np and Variance  = npq

Q: xy" - (4x + 1)y + (4x + 2)y = 0,

A:

Q: Marco sells and ships oranges from his grove for $1.20 per pound plus a shipping fee. One package…

A: Total cost = 18.65 shipping fee = 4.25

Q: 7. lim X-2 x+2 A. 1/4 В. 1/-4 C. -4 D. DNE

A: We can find the answer as below.

Q: Given So (x) = exp{- (Ax + Bx² + D* – } In D Calculate |10930 ƒor t = 10 round to 4 decimal places…

A: t|10q30 is the probability that a life aged 30 years will survive the next t years and will die…

Q: One of the methods that the Internal Revenue Service allows for computing depreciation of certain…

A:

Q: d) P(-х <X —9 <х) %3D 0.95. X = i e) Р(-х <X—9 < х) %3D0.99. X =

A:

Q: If X~N(3,16) then P(4SX<8) = 0.5987 0.2957 0.8944

A:

Q: x • e e- for x <x < ∞ f(x) elsewhere

A:

Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

A: Given,

Q: What are the algebraic steps to isolate [H+] so I can solve for it with given variables?

A: Given that, CT=9.5×10-5 and Ka=10-7.6 To find the value of H+, substitute the given values in…

Q: P(-1<Z<1)= round to four decimal places

A: Given that P(-1&lt;Z&lt;1)

Q: If X~N(3,16) then P(4<X<8)= 0.8944 (0.2957 0.5987

A:

Q: Z~N(0,1). Use Excel to find Pr(1.42 &lt; Z &lt; 2). Enter your answer as a decimal rounded to three…

A: The objective of this question is to find the probability that a normally distributed random…

Q: x -x 3 Let A=0 x+1 1 X -8 x-1 Ximx101 (A) 3sb = (A)dobyerit ov For what values of x does A-1 exist?…

A:

Q: V8m²n V2m² (3) V32m*n? 1 (4) V5+ V3

A:

Q: 2. Given: L//L2, L3//L4 Prove: < 2 E< 4 L2 2. Ls LA

A: Given:- L1 || L2 ,L3||L4        To prove :- ∠2≅∠4

Q: 30/33 Solve for x. 3. 10 21

A:

Q: 11.) A company training program has determined that a new employee can process an average of 105s…

A: P(s)= 105 s/(s+7)

Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: lid Let X1,.,X10 N(7,4). Find k so that, (x-7)2 sk = 0.9 (a)2.833 (b)11.332 (c) 0.708 (d) 3.003 (e)…

A: Given that,  Xi ~ N(7,4)So, Xi -72 ~ N(0,1)T = ∑i=110(Xi - 7)24~ χ102Now, P∑i=110(Xi - 7)2≤k =PT…

Q: hat is y(t)?

A:

Q: P(x ≥ 168.75) = 1 P(Z ≤ 0.4545) = 1 - 0.1736 0.6736 = X

A: Given that  We have to find  P(x-≥168.75)=1-P(Z≤0.4545)

Q: that Edn H(n/d)7(d) = 1 and Edn H(n/d)o(d) = n for all n, where r(n) = d(n) and σ(n) = σι (n) Σm d.…

A:

Q: 16. prove that Edn 2(d) = 2u(n). 17. prove that Edn H(n/d)T(d) = 1 and Edn H(n/d)o(d) = n for all n,…

A:

Q: L{5cosh2t-3sinht} 1. 5s 3 a. s²-4 s²-1 3 5s b. s²+4 s²-1 3 5s C. s²-4 s²+1 5s 3 d. s²-4 s²-1 - +

A:

Q: • To find sn, we raise $₁ to the power Sn ||*)/2-1/ 1/n 2-1/2) 2(n+1)/2 |sn|1/n Sn = 1/2 n

A: The given step is

Q: If k(x) = {x + 4 1 - x if x < 0 if 0 sx < 1, find the following. if x 2 1 (a) k(-5) (b) k(0) (c)…

A: We are given a piecewise function k(x) and we need to find the value of the function for different x…

Q: Use the reduction formula: [(In 2)" dx = 2(In x)" — n f (In 2)¹-1, times. First application of the…

A: Given: ∫(ln x)n dx=x(ln x)n-n ∫(ln x)n-1 dx     ........(1) By using the above result we have to…

Q: Xi lim Σ n18 i=1 (x)² + 4 Δx, [1, 3]

A: Write integral as limit of a sum.

Q: k* for some constant k". Lp.) Show that L(po)

A:

Q: Q2/B/ check the function continuity at x-0, for the fimction f(x)%= 1+ 4 2/3

A:

Q: Suppose f(n) = 9n² 16n + 42(log(n))² and g(n) = 4n². Using the formal definition of Big- O, prove…

A: First of all, let        h(n) = log(n) - n + 1    =&gt; h'(n) = 1/n - 1 &lt; 0 for all n &gt; 1…

Q: 7. Solve for x: {x: xER, x<1}N{x: xER, x20}

A: Given