Suppose that A and B are independent events with: P(A)= 0.4 P(B)= 0.7 Calculate: P( A U B)

Q: Suppose that A and B are independent events such that P(A) = 5/8 and P(B) = 4/7. Find P(A&B).

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: Let A and B be independent events with P(A)=1/8 and ​P(B)=1/3. Find​ P(A∩B) and​ P(A∪B).

A:

Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: Suppose n(S) = 40, n(E) = 6, n(F) = 14, and n(E ∩ F) = 2.  a) What is the probability of either E or…

A: (a) Obtain the probability of either E or F occurs. The probability of either E or F occurs is…

Q: Q12. In a certain college with 500 students, assume 315 like coffee, 217 like tea and 154 like both…

A: Let X represents Coffee, Y represents Tea P(X) = 315 500 P(Y) = 217500PX∩Y=154500

Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A:

Q: If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(X/Y)=?

A: Given X and Y are mutually exclusive events P(X) = 0.295, P(Y) = 0.32 If X and Y are mutually…

Q: Suppose that A and B are mutually exclusive events such that P(A) = 0.25 and P(B) = 0.40. Determine…

A: Special Addition Rule:

Q: Let A and B be independent events with ​P(A)=13 and P(B)=12. Find​ P(A∩​B) and​ P(A∪​B). P(A∩​B)=…

A:

Q: Let E and F be independent events with P(E) = 0.2 and P(F) = 0.2. What is the probability that at…

A: Solution: From the given information, E and F are independent events, P(E) = 0.2 and P(F)= 0.2.

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…

A: Given , Consider, If A and B are independent events, Then , P(A) . P(B)  = P  ( A ∩  B ) Also , P (…

Q: I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

A:

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.6, P(B) = 0.8, and…

A:

Q: Let A  and B be two events such that P (A) = 0.46 and P (B) = 0.07 (a) Determine P (A ∪ B), given…

A: Given: A and B be two events such that P (A) = 0.46   P (B) = 0.07

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: For events A and B, P(A) = 0.24 and P(B) = 0.4. If A and B are independent events, then what is the…

A: We have to find the probability.

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?

A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

Q: If A and B are two mutually exclusive events with P(A') = 0.659 and P(B) = 0.273, what is the value…

A: Solution: Given information: Let A and B are mutually exclusive events. P(A')= 0.659  P( A) = 1-…

Q: If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F).

A: It is given that E and F are independent events. The given probabilities are PE=0.4  and PE or…

Q: For a medical experiment, people are clas-sified as to whether they smoke, have a family history of…

A: E: person smokes F: person has a family history of heart disease G: person is overweight

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

A:

Q: About 5% of the population of a large country is allergic to pollen. If two people are randomly…

A:

Q: b) Given that A and B are independent events, show that A and B are also independent events.

A:

Q: compute the probability of event E if the ads in favor of E are 5 to 29

A:

Q: Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate.…

A: let, A=Earthquake magnitude is low B=Road debris is moderate

Q: . In testing a florescent light bulb, it is found that 20% of the light bulb fail to complete the…

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

Q: A and B are events such that P(A)=0.75 and P(B)=0.16 Find mutually exclusive P(A\B)

A:

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.28, what is P(B|A)?

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the largest possible value of…

A: In this question, we have the value of P(A) = 0.71 and P(B) = 0.44 and we have to find the maximum…

Q: Let E and F be independent events with P(E) = 0.15 and P(F) = 0.2. What is the probability that at…

A: Given: PE=0.15PF=0.2 E and F are independent events, so: PE∩F=PE×PF=0.15×0.2=0.03

Q: Let A, B and C be three independent events such that P(A)=P(B)=0.3 and P(C)=0.5. Find the…

A: It is given that the, P(A) = P(B) = 0.3 and  P(C) =0.5 and since these 3 events are independent.

Q: Which of the following notation is used for not mutually exclusive events? * P(A or B) = P(A) + P(B)…

A: Given that  Two events A and B are mutually exclusive events.  P(A or B)=P(A)+P(B)

Q: In a random country, the probability of getting stabbed is 1/4, and 1/6 of being robbed. The…

A: Let S=being stabbedR=being robbedP(S)=1/4P(R)=1/6P(S∩R)=1/20

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of…

A: According to the given question, A and B be two events with probability P(A)=0.71  and P(B)=0.44…

Q: Suppose A and B are mutually exclusive events, and that P(B)=0.44 and P(A OR B)=0.81. Find P(A).

A:

Q: Let A and B be two events, and P(A) = 1/2, P(B) = 1/5 and P(B|A) = 1/3. Find the value of P(A|B).

A:

Q: Is the following pair of events independent? A bulb in a car turn signal light burned out. The car…

A: The two events given to us are: Event A: A bulb in a car turn signal light burned out. Event B: The…

Q: Classify the events as dependent or independent. Events A and B where P(A)=0.7, P(B)=0.4, and P(A…

A: Solution: From the given information,

Q: Suppose events A, B, and C are independent and 1 1 P(A) = 6. %3D 42 Find the probability P(AUB).

A:

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.2, P(B) = 0.1, and…

A:

Q: If A and C are two events in a probability model such that 0 P(A).

A: Given A and C are two events and satisfy these two conditions.0<P(C)<1P(A|C)<P(A) Using the…

Q: A data set is subject to two independent scans. In the first scan, n1 events of a given type x are…

A: Given information: Given that the data set is subjected to two independent scans.

Q: If A and B are independent events, P(A)=0.28, and P(B)=0.67, what is P(B|A)?

A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…