1. Let A and B be events such that, P(A) = 0.6, P(B) = 0.7, P(A N B) = 0.4 Find %3D a. P(A U B) b. P(A|B) c. P(B|A)

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

A:

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AN B) = 0.1. Calculate (a) P(A|B); (b)…

A: As per our guidelines we are suppose to answer three sub parts . Given,P(A)=0.5 , P(B)=0.3 ,…

Q: If A and B are independent events such that P(A) = 0.2600 and P(A N B) = 0.2054. Find P(B). %3D

A:

Q: E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P( E | F )

A: Given data, P(E) = 0.3 P(F) = 0.2  P( E | F )=?

Q: x P(x) 0 0.186 1 0.417 2 0.242 3 0.131 4 0.021 5 0.003 a. Find the probability of getting exactly 4…

A: We have to choose ckrrect options.

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

A:

Q: Two events A and B are such that P(A) = 1/4, P(A / B)=1/3, P(B /A) = 1/2. Find P(A / B). Select one:…

A: Solution: From the given information,

Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?

A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…

Q: If A, and B are two independent events such that P(A) = 0.6 and P(B) = 0.5. Then P(AUB) is equal to…

A: Given  P(A)=0.60, P(B)=0.50 and P(AUB)=?

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: Let A, B be two events such that p(An B) = 0.4, P(B n A) = 0.1 and p(An B) = 0.6. Find p(A) %3D %3D…

A: P(A∩B¯) = P(only A) = 0.4 P(B∩A¯) = P(only B) = 0.1 PA∩B¯ = 1 - P(A∩B) P(A∩B)  = 1 - 0.6 = 0.4

Q: Which of the following events are equal? а. А%3D (1,3}; b. B = {x|x is a number on a die}; c. C=…

A: Given that  Which of the following events are equal?   a. A = {1, 3}; = {1,3}   b. B = {x| x is a…

Q: 4) Let P(A) = A%, P(A U B) = 0.7. Find P(B) if a. the events A and B are mutually exclusive. b. the…

A: Given, P(A) = 20% = 0.2 P(A ∪ B) = 0.7 P(B) = ?

Q: a) Two events, A and B, are such that P(AuB) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: We calculate  probability of  given events

Q: Assume A and B are independent events with P(A) = 0.1 and P(B) = 0.3. Find (a) P(A N B), (b) P(A U…

A:

Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: U and V are mutually exclusive events. P(U) =0.25; P(V) = 0.4. Find: A. P(U AND V) = B. P(U|V) C.…

A:

Q: If P(A) 04, P(B') =05 and P(A and B) 0 01 Which statement is correct? I P(B)= 06 %3D 2 P(A/B) 0 02 3…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: A student stays at home. Let event N = the student watches Netflix. Let event Y = the student…

A: Result (1)A and B are independent iff P(A and B)=P(A⋂B)=P(A)*P(B)  (2) two events and B are mutually…

Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: BAO REALT DORI

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose that A and B are independent events such that P(4)=0.70 and P(B)= 0.20. Find P(An B) and P(A…

A: We have to find given probabilty.

Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. %3D (a) If A and B are independent, then P(AU B)…

A: given that PA=0.3,PB=0.4a)If A and B are independentPA∪B=PA+PB-PA∩BPA∩B=PA·PBPAB=PAsoans:…

Q: Two events A and B are such that P(A) = 0.19, P(A N B)= 0.15, P(A or B ) = %3D 0.99. Find P(AC O…

A: Introduction :-  A and B are the two events. Here we have to find the probability of intersection of…

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.6. Find:  a.  P(U and V) =  b.…

A: When A and B are mutually exclusive events,  then  P(A∩B)= 0 P(AUB)=P(A or B) = P(A)+ P(B)-…

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: Assume A and B are independent events with P(A) = 0.8 and P(B) = 0.9. Find (a) P(A N B), (b) P(A U…

A: If A and B are independent then P(A⋂B)=P(A)*P(B) Note: According to Bartleby, an expert can solve…

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: 1 and P(B) = 1 Find P(A N B) and P(A U B). 5 Let A and B be independent events with P(A) = ..... P(A…

A: Given : p ( A ) = 1/6  p ( B ) = 1/5  event A and B are independent

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: A and B are two events such that P(A) = 0.4 and P(An B) = 0.2 Then P(An B) is equal to O 0.8 O 0.6…

A:

Q: 92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following…

A: Solution Given That  G And H Are Mutually Exclusive Events. P(G) =0.5 P(H) = 0.3

Q: Given two events A and B such that P (A) = 1/2 and P (B) = 1/3. Determine P (B | A) if   (a) A and B…

A:

Q: Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).

A: According to the provided information,  P(E) = 0.48, P(F) = 0.55, and P(E⋂F) = 0.74

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.