40! p(X =x)= P)" (q)** ,x =0,1,.,40 x!(40 –x)! : A V(x) q =0.1 i 2.5 1.4 3.6

Q: 10. 2. dx o v4+x- V4+x2

A: The given intergral, ∫02dx4+x2

Q: Find f(t) for each of the following functions: 18s + 66s + 54 a) F(s) (s + 1)(s + 2)(s + 3)' 8s +…

A: The Laplace transform of a function ft is denoted by the function Lft=Fs. The Laplace transform is…

Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

A:

Q: In the set-up of Example 11.1, evaluate P(R = r, Y = y) for all possible values of R and Y. Use your…

A: Here, balls are drawn without replacement. Hence, the joint PMF of R: The number of red balls, and…

Q: In an automatic geolocation system, a dispatcher sends a message to six trucks in a fleet asking…

A: The objective of this question is to find the probability that all six responses will arrive within…

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: 10 6. Evaluate -dx. (x – 1)(x² + 9)*

A: Given integral is We will evaluate the integral by using the concept of partial fraction…

Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

A:

Q: PERPARA EPIFFERITEURE HIFCERERE dx SURASEULEET EXPLOREZPIER MERASAKASH FLERENCE r 7)Evaluate ↑n(x²)…

A: I have stated the used formulas in the solution.

Q: 3 - dx x² – x - 2 (1) (ii) fx'e* dx

A:

Q: 9/Express flx) in the form fCx\=(x-K)q(x) tr for the given value o f k ):子メー5x3 -12x°-X; K3 -5 9.…

A:

Q: If X~ Uniform(b, 1) and o² = 3μz, what is b? (a) -0.82 (b) 12.18 (c) 20.82 (d) 17.00 (e) None of the…

A: To find the value of b, we first need to find expressions for the mean μX​ and…

Q: + 7 Find fix) if f"(x) = Nx+1. and f"C0) =1, fcO)=-1, fc0) =7. O cheet metal is to

A: Let's find.

Q: 22. Find f/(x) and simplify 1 -1 a) f(z) 3-52+1 3 b) f(x) 1.8Vc) f(x) = 32

A: Given, functions