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: 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: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

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: 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 any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?

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: 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 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 A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

Q: If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) = Question 27…

A:

Q: Given that P(A) = 0.10, P(B) = 0.17, and P(A and B) = 0.0230, are events A and B independent?

A: P(A)=0.10P(B)=0.17P(A and B)=0.0230

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: 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: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: Given P(A) = 0.59, P(B) = 0.51, P(C) = 0.09 and that events A, B, and C are independent, what is…

A:

Q: 25. In a small countryside, there is a doctor and a nurse. The probabilities that the doctor and the…

A: We have given that  The probabilities that the doctor and the nurse are available in the countryside…

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: Q3: b) Ahmed is taking Mathematics and Geology. His probabilities for getting grade of 90 (consider…

A: From the given information, P(grade of A in Geology class)=0.60 P(grade A in Mathematics class)=0.70…

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: 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: A and C are two events with probabilities, P(A) = 0.34, P(C) = 0.41, P(A | C) = 0.23…

A: Answer: From the given data, P(A) = 0.34 P(C) = 0.41 P(A | C) = 0.23

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: A company has 3 factories (factory 1, factory 2 and factory 3) that manufacture the same chip. Each…

A: To find the probability that the defective chip came from factory 1 given that a manufacturing…