If P(A) = 0.29 , P(B) = 0.32,  P(B | A) = 0.42 then P(A ∩  B) =

Q: F (2, 12)

A: Given that  F( 2 ,12) It is the F statistic with the df1 = 2  and df2 = 12 df1 = Degrees of freedom…

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: (f+g) (4) = F+g was... 16x + 9 9x-7

A:

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: Given:P(E) = 0.45, P(F) = 0.53, and P(E ∪ F) = 0.67(i) Find P(E ∩ F)(ii) Find P(F | E)a) (i) 0.31…

A: Given Two events E and F, probability of P(E) =0.45 and probability of P(F) =0.53 andP(E U F)=…

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: If P(A) = 0.45, P(B) = 0.41, and P(A or B) = 0.86, are A and B mutually exclusive? yes or no?

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: = [5,-3] and q.= [1,4], find | p - 5q |

A: Given query is to perform indicated vector operation.

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: A consultant estimates that the total weekly computer usage by the company employees to be:…

A: Given query is to find the computer usage for first 14 weeks.

Q: If n(A) = 44, n(B) = 15, and n(A n B) = 4, find n(A u B). %3D

A: Using the union formula we get:n(A∪B)=n(A)+n(B)-n(A∩B)=44+15-4=55

Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…

Q: Is det(AB) = det(B A)? Justify your answer.

A: Given- detAB=detBA To justify- The above expression.

Q: P(A) = 0.4, P(B) = 0.5, P(A U B)= 0.6 a) Find P(A given B)    b) P(B|A)

A:

Q: Q7) Let P(A) = 0.3 and P(B) = 0.6. a. Find P(A or B) when A and B are independent. %3D b. Find P(A…

A: When A and B are independent, then P(A∩B)=P(A)xP(B) When A and B are mutually exclusive then…

Q: If P(A)-0.274, What is P(A)? Where A' is the complement of A

A: P(A) = 0.274 P(A') = ? a' is complement of A

Q: If P(A)=0.33 and P(Bc)=0.11, can A and B be disjoint?

A:

Q: Given that P(B|A) = 0.33 and P(A) = 0.20, what is P(A∩B)?

A:

Q: If n(A U B)=96 and n(A)=n(B)=66, find n(A n B)

A: Here from the given information:

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.