1. Suppose that X ~ B(10, 0.12). Calculate: (b) P(X= 6) (е) Е(X) (а) Р(Х — 3) (d) P(X>7) (c) P(X<2) (f) Var(X)

Q: V3 х, 1 x' = x(0) = %3D

A: Since you posted a multiple question but according to guidelines, we will solve the first question…

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: Given f(r, y) = 4a* + 3a*y" - 3y, find 2.6 f:(z, y) = f,(z, y) - fz(2, y) fay(x, y) =

A:

Q: If fx) x) f(1) = and f(1) -2, find 1) -16/13

A: Formula used:

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: 3. Given f(x) = x²?+ 2x and g(x) = 2x - 10, determine: a) (f + g) (x) g(x) b) c) (f og)(x) f(x)

A:

Q: Find the max or min value of /x) -3x + 6x + 4

A: We have to find the maximum or the minimum value of the following function -  f(x) = -3x2+6x+4

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: 2. Suppose that f(4) = 2, g(4) = 5, f/(4) = 6, and g/(4) = -3. Find h/(4). a. h(x) = f(x)g(x) b.…

A:

Q: 9.Suppose that f(700)=8000 and f ′(700)=20. Estimate each of the following. ​(a) f(701) ​(b)…

A:

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A: