There are two traffic lights on Darlene's route from home to work. Let E denote the event that Darlene must stop at the first light, and define the event F in a similar manner for the second light. Suppose that  P(E) = 0.2,   P(F) = 0.3,  and  P(E ∩ F) = 0.13. (a) What is the probability that Darlene must stop at at least one light; that is, what is the probability of the event  P(E ∪ F)?   (b) What is the probability that Darlene doesn't have to stop at either light?   (c) What is the probability that Darlene must stop at exactly one of the two lights?

Q: If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).

A: given data  P(A) = 0.5 P(B) = 0.3 P(A∪B) = 0.67P(A∩B) = ?

Q: Let A and B be two disjoint events such that P(A) = 0.27 and P(B) = 0.51. 4 What is P(A or B)?

A: GivenLet A and B be two disjoint eventsP(A)=0.27P(B)=0.51

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 mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A:

Q: If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) = a. 0.209 b.…

A: P(A)=0.38, P(B)=0.55

Q: If the probability for one and only one event of A and B to happen is 0.3, P (A) = 0.2 and P (B) =…

A: Given: P(A)=0.2 P(B)=0.3  the probability for one and only one event of A and B to happen is 0.3

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: Suppose A and B are independent events. If P(A) = 0.45 and P(B) = 0.35, find each of the following:…

A:

Q: Given P(A) = 0.150, P(B) = 0.172, and P(C) = 0.185, and that events A, B, and C are mutually…

A: here given, P(A)=0.150, P(B)=0.172 P(C)=0.185   A,B and C are mutually exclusive event. so, P(A and…

Q: Two workers A and B are both working for a certain store. Worker A comes to work 80% of the time…

A: The provided information is  P(A)=0.60 P(B)=0.80 If A and B are independent  Then,…

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.2 and event B…

A: Given: A and B are mutually exclusive .         P(A)=0.2  ,   P(B)=0.64 ∴ P(A∪B)=P(A)+P(B)i.e.…

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A:

Q: Suppose that A and B are two independent events for which P(A) = 0.17 and P(B) = 0.59 Find each of…

A: For the given data Find p(A/B ) =? P(B/A) =? P( A and B ) =? P (A or B ) =?

Q: If A and B are independent events such that P(A )=0.7 and P(B)=0.5 then P(A U B) O a. 0.9 O b. 0.5…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and…

A: P(A)=0.1P(B)=0.5events A and B are independent

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

A:

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: If A and B are events such that P(A)=0.55, P(B)=0.35 and P(A U B)=0.7. Then P(A/B) O a. 0.2 O b.…

A: It is given that P(A)=0.55, P(B)=0.35, P(AUB)=0.7.

Q: If A and B are two events such that P (A or B) =2/3 , P(ABC)=1/3 and P(A/B)= 1/6. Find P(A). Select…

A: For two events A and B,

Q: Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

Q: Suppose that A and b are events such that P(A) = 0.75 and P(A&B) = 0.25. Determine P(B|A).

A:

Q: Given the probability that "she's up all night til the sun" is 0.30, the probability that "she's up…

A: Let S denote the "she's up all night til the sun" and F denote "she's up all night for good fun".…

Q: t A and B be two disjoint events such that P(A)=.18 and P(B)=.42 what is P(A or B)

A: given data , disjoint events, p(A)=0.18p(B)=0.42p(A or B)=?

Q: f Mary is late for school one particular day of the week, the probability she arrives on time the…

A: Given Data: P( late the next day | on time the previous day)=0.3 P( late the next day | late the…

Q: A - the event that a customer at a restaurant has fish for a main course B - the event that a…

A: Let,  A - the event that a customer at a restaurant has fish for a main course B - the event that a…

Q: Suppose A and B are two events such that, P(A)=0.4, P(B)=0.3 and P(A and B)=0.1a.Find 푃퐴!b.Find…

A: We have the formula

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: The probability that Ms. Smith will get an offer on the first jobs she applies for is 0.5 and the…

A: Given :   I = event of getting job on first offerII = event of getting job on second offer PI =…

Q: Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the…

A:

Q: Let A and B be events with P(A)=0.5, P(B)=0.55, and P(B|A)=0.9. Find P(A and B).

A:

Q: Given P(A and B) = 0.34, P(A) = 0.94, and P(B) = 0.36 are events A and B independent or dependent?

A: Given  P(A and B) = 0.34, P(A) = 0.94, and P(B) = 0.36 are events A and B independent By the…