A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and p(d)=0.1. Let A be the event {a,b), and B the event of {b,c,d). Determine the following probabilities: (1)P(c), (2)P(A), (3)P(B), (4)P(AC), (5)P(AUB) and (6) P(An B) (1) 0.4, (2) 0.5, (3) 0.8 (4) 0.5, (5)1 and (6) 0.3 01 (1) 0.4, (2) 0.55, (3) 0.8 (4) 0.45, (5) 1 and (6) 0.34 2 (1) 0.4, (2) 0.55, (3) 0.84 (4) 0.5, (5) 0.91 and (6) 0.34 3 (1) 0.4, (2) 0.5, (3) 0.84 (4) 0.5, (5) 0.91 and (6) 0.43 its

Q: nd the probabilities for simple events E4 and E5. =4) √5) = = =

A: We are going to find the following probability by the help general formula of probability that sum…

Q: Suppose A and B are events in a sample space with P(A) = 0.62, P(B) = 0.67, P(BU A) = 0.91 Find the…

A: Given A and B events of a sample space where; P(A)=0.62P(B)=0.67P(B∪A)=0.91 (a) We know by addition…

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Given that: Four outcomes of an experiment = {a,b,c,d}  Probability of each outcome:…

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P(ΑB) - 1/4. Find…

A: For the first question option(C) nominal is correct answer because Nominal data :- It is a…

Q: If A and B are two mutually exclusive events with P(A)=0.35 and P(B)=0.55, find the following…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.6, and P(A  B) = 0.15.…

A:

Q: If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(AnB)=

A: A and B are independent events  P(A) = 0.4  P(B) = 0.6

Q: Suppose A and B are events in a sample space with P(A) = 0.6, P(B) = 0.65, P(BUA) = 0.84 Find the…

A:

Q: If two events, A and B, are such that P(A) = 1/6, P(B) = 1/9, and P(An B) = 1/70, find the following…

A:

Q: A sample space consists of five simple events with P(E₁) = P(E₂) = 0.2, P(E) = 0.45, and P(EA) =…

A:

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.2, find the following…

A: Given that  P(A)=0.6 , P(B)=0.2 Events A and B are mutually exclusive events  Note: According to…

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (A N B) = 1/4.…

A: For events A and B, it is given that, P(A) = 1/2, P(B) = 3/8, and P(A ∩ B) = 1/4.

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given:  P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the given values in the above formula.

Q: Given P(A) = 0.62, P(B) = 0.78, P(C) = 0.61 and that events A, B, and C are independent, what is…

A:

Q: If P(A)=0.3 and P(B)=0.6, find each probability  a) P(A and B) if A and B are independent events…

A:

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

Q: If two events, A and B, are such that P(A) = 1/6, P(AUB) = 11/30, and P(An B) = 1/42, find t 1. P₁ =…

A: Given that  P(A)=1/6 , P(A U B)=11/30 and P(A ∩ B)=1/42 NOTE:- According to bartleby guidelines…

Q: If A and B are independent events with P(A) = 0.75 and P(An B) = 0.30, then, P(B) = 0.45 0.75 0.225…

A: given data, p(A)=0.75p(A∩B)=0.30p(B)=?

Q: 4. P4 = P(A | Bº). (P1, P2, P3, P4) =(

A: From the given information we have P(B) = 47/210 P(Bc) = 1 - P(B) = 1 - 47/210 = 163/210

Q: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

A: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

Q: Suppose A and B are events in a sample space with P(A) = 0.61, P(B) = 0.66, P(BUA) = 0.93 Find the…

A:

Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: For events A, B, and C, we have the following probabilities: P(A) 0.7, P(B) = 0.5, P(C) = 0.3, P(A…

A:

Q: If A and B are independent events with P(A) = 0.1 and P(B) = 0.4, then P(A or B) is a. 0.46 O b. 0…

A: P(A) =0.1P(B) =0.4

Q: P(E:) = 25, P (E>) = 1 An experiment results in one of five sample points with probabilities P P(E)…

A:

Q: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: Let A and B be events with P(A)=.07, P(b)=.44, and P(B|A)=8 P(A and B)= ?

A: Given problem  Given that A and B be events P(A) = 0.07 P(b) = 0.44 P(B|A) = 8 We have to find P(A…

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the values in the formula.

Q: A and B are both events in sample space S.   P(A)=0.4 P(B)=0.3 P(A and B) =0.2   What's the…

A: A and B are both events in sample space S. Given, P(A)=0.4 P(B)=0.3 P(A and B) =0.2

Q: Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and %3D P (A and B) =…

A: Given that P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.3

Q: Let A and B be events with P(A) = 0.6, P(B) = 0.3, and P(A∩B) = 0.2. What is the probability of…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: If A and B are independent events, and P(A) = 0.2, P(B) = 0.3, find the following:  a)         P(A…

A: Given Data: The probability of event A is: P(A)=0.2 The probability of event B is: P(B)=0.3   Event…

Q: Suppose A and B are two events with probabilities: P(A*) = .25, P(B) = .35, P(A N B) = .30. a) What…

A: Given, P(Ac) = 0.25 => P(A) = 1 - P(Ac)  = 1 - 0.25 = 0.75 P(B) = 0.35 P(A ∩ B) = 0.30