a) Show that for any three events A, B, and C, the probability that at least one of them occurs is P(A) + P(B) + P(C) - P(An B)-P(ANC) - P(BNC) + P(AnBnC). b) Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(ANB) c) About 52% of the residents of Capricorn municipality are happy and 48% of the residents are not happy with the delivery service. A recent study showed that 75% of happy residents and 25% of the unhappy residents are in favour of keeping the mayor of the municipality. If resident is randomly selected from the municipality residents is found to favour the motion. What is the probability that this person is happy with the delivery service?

Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…

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

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.79, what is P(B|A)?

A:

Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

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 events with P(A)=0.4, P(A or B)=0.53, and P(A and B)=0.07, find P(B)

A:

Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

Q: The P(A)=0.48P(A)=0.48 and the P(B)=0.06P(B)=0.06. Events AA and BB are mutually exclusive. What is…

A: Given, P(A)=0.48 P(B)=0.06 P(A or B)=?

Q: Suppose A and B are two independent events with P(a)=0.5 and P(b)=0.4 what is the P(A U B)?

A:

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

Q: If A and B are independent events with P(A) = 0.30 and P(A and B) = 0.15, then Find P(B).

A: Here For 2 independent events A and B  P(A)= 0.3 P(A and B) =0.15

Q: Determine P(B|A), If A and B are the events with P(A) = 0.31, P(B) = 0.28 and P(AUB) = 0.51

A: Answer: From the given data, If A and B are two events, P(A) =0.31 P(B) = 0.28 P(A U B) = 0.51

Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…

A:

Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: (a) P(ANB) and P(AUB) (b)…

A: A and B be independent eventsP(A)=0.2P(B)=0.3

Q: Given P(A) = 0.3 and P(B) = 0.9, do the following. (a) If A and B are independent events, compute…

A: Solution

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: 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: 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: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose that C and D are independent events such that P(C) = 0.7 and P(D) = 0.6. Find (C&D).

A: Two events C and D are said to be independent if,

Q: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

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: Suppose that P(A)= 0.6 and P(B)= 0.5. If events A and B are independent, find the probabilities:…

A:

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: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

Q: Suppose P(A) = .70, P(B) = .18, and events A and B are mutally exclusive. Find:  a) P(A and B) b)…

A: The provided information are :P(A) = 0.70, P(B) = 0.18The events A and B are mutually exclusive.

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: If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?

A: The given probabilities are PA=0.11,PB=0.74. The events A and B are independent.

Q: If A and B are events with P(A)=0.7, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Solution-: Given: P(A)=0.7,P(A OR B)=0.89, P(A AND B)=0.01  We find P(B)=?

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: If A and B are events with P(A)=0.4, P(A OR B)=0.78, and P(A AND B)=0.12, find P(B).

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment and…

Q: A and B are independent events P(A) = 0.29 and P(A and B) = 0.18 then, find P(B) ?

A: Answer: From the given data, A and B are independent events Which means that the occurrence of one…