Individual A has a red die and B has a green die (both fair). If they each roll until they obtain five "doubles" (1-1,...,6-6), what is the pmf of X (= the total number of times a die is rolled)? What are E(X) and V(X)?

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: f(3) = 2, f(5) = 4, g(2)=5, and g(4) =3. What is the value of g(f(5))?

A: We have to find the value of gf5 where it is given that: f3=2, f5=4, g2=5, g4=3. Here, f5=4…

Q: 21 If f(x) = x - 4x + 2, simplify each of f(x + h) = f(x + h)- f(x) = %3D

A: For f(x+h) put x+h at x

Q: csc -1Vxdx (6) Vx3 -x2 CSC x3-x2

A: From the given problem:   I=∫csc-1xx3-x2dx   So we can also write as:   I=∫--2csc-1x·12x-1xdx.....1…

Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

A:

Q: If f(3) = 1, f0(3) = 3, g(3) = 2, and g0(3) = 4, what is ( fg)0(3)?

A: Given: f(3)=1, f'(3)=3, g(3)=2, g'(3)=4

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: G(y) А + Be 10

A:

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

Q: If g(q) = A = 3q-7 9-A and g(2)= 1, what is the value of A? ...

A:

Q: If e = 23, then z 4x

A:

Q: 2 tx 1

A: using by parts you can obtain the result:

Q: 2 X 2.- (D*- 4D +4)y = x *

A:

Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

A:

Q: how did you get P(x=4) in part ii?

A: The sample size 10, the probability of throwing red is 0.78.

Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: If g(2)=5 and f(5)=22 then (f o g)(2)=

A:

Q: If x= v3 + 1, then the value of (x --)² is %3D (a) 2 (b) 1 (c) 0 (d) 4

A: x=3+1 we have to find x-1x2

Q: If h(x) = (4x – 7)/5   then h-1(x) =

A:

Q: Let f(x) = 3x – 1 and g(x) = x² + 4x – 2. Evaluate the following. - a. f(3) = 8 b. ƒ( – 1) = |-4 с.…

A:

Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: Posses ho solurion forr fcs)=S but That Posseses infinitly many solutions whcn f(s) =l

A:

Q: 10. ff(e²x + x²)dx

A:

Q: If E(X) =1 and Var(X)=5 find E[(2+X)2] Var(4+7X)

A:

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: If f(a) x* + 5, g(a) =-6 and h(z) a, then

A: Given: To find:

Q: Example. If A(x) = 2* , find f(0), A3), and A-4).

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: below. Let B = the set of patients with high blood pressure. Let C= the set of patients with high…

A: Topic - Sets We are given: n(B)=39n(C)=32andn(B∩C)=14

Q: If f(x) = 4x +4 and g(x) = 2x - 1. What is (f- g)(3)? %3D A. 35 C. 45

A: This is a question of set function and real-valued function.

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

A:

Q: are there any problems where (fog )(x)=(gof )(x)

A:

Q: If y = e-3x, then y =

A:

Q: Calculate the equilibrium point using Gauss-Jordan Elimination only for the case where the number of…

A: The inter species competition scenario can be modelled in terms of standard Lotka Volterra ODE model…

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: Evaluate S(3) if S(r) = 4xr².

A: Given query is to find the value of S(3).

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.