e following two way table shows the distribution of ily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A= heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Heavy Traffic Light Traffic Total No, P(A) + P(A|B). Bad Weather O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). 25 30 Good Weather 55 15 75 Total 80 20 100 Weather Conditions

Q: A and B are two events such that P(A)-0.5 and P(B)-0.6 and P (AIB) = - then P (AIB) = 0.9 1 0.6 not…

A:

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AN B) = 0.1. Calculate (a) P(A|B); (b)…

A: As per our guidelines we are suppose to answer three sub parts . Given,P(A)=0.5 , P(B)=0.3 ,…

Q: 5. A and B are two events such that P(B) = P(An B) =and P(B|A) = Find a) P(A) b) P(A|B) c) P(A|B)

A:

Q: If the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

Q: A and B are two events such that P(A) = 0.36, P(B) = 0.41, P(A or B) = 0.53 then What is P(A and…

A: Answer: From the given data, P(A) = 0.36 P(B) = 0.41 P(A or B) = 0.53

Q: 10. P(A) = 0.5 and P(A + B) = 0.7, find P(B) if – %3D (i) A and B are independent events; (đi) A and…

A:

Q: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

A:

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AIB) = 0.1 Then P(A|AUB) is

A: Given that Two events A and B  P(A)=0.5 P(B)=0.3 P(A/B)=0.1 We have to find P(A/AUB)

Q: erhaps unsurprisingly, the events A, B, and C are dependent.  That is, a congressperson having or…

A: Hello! As you have posted 2 different questions, we are answering the first question with the 3…

Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6,  P(A and B)=1/11.

Q: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).

A: Given data,P(A)=27P(A & B)=325P(B|A)=?

Q: C1. (a) (i) State the three axioms of probability. (ii) Using the axioms, and clearly stating any…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.... We…

Q: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

A:

Q: uppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. P(A^c) =________ e)…

A: Use complement rule,

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine P(AUB)'

A: Given data, P(A∪B) = 0.86 P(B) = 0.72  P(A) = 0.64 P(AUB)' =?

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: ppose that E and F are two events and that P(E and F) = 0.5 and P(E) = 0.8. What is P(F|E)? FIE) =…

A:

Q: Let A and B are two events. P( A' and B') = 0.35 Find P( A Or B)

A: Answer: From the given data, A and B are two events, P(A' and B') = 0.35

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

A: Solution-: Given: P(A¯)=0.70 , P(B)=0.20 and P(B) =0.20  (A and B are independent event) We want to…

Q: 8. Let A, B and C be three events such that P(BOC) > 0. Prove or disprove each of the following…

A: a) P(An BC) = P(A|BC)P(BC) is actually true. This can be proven using the conditional probability…

Q: The following two-way table shows the distribution of daily traffic and weather issues in a certain…

A: Given :

Q: Question 1. Suppose A and B are events with P(A) = ½, P(B) and 113 P(A or B) = a) Are A and B…

A: Given that  P(A) = 1/3 , P(B) = 1/4 , P(A or B) = 1/2

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: If A and B are independent events P(A)= 0.25 and P(AuB) = 0.67 then Find P(B)

A: From the given data, A and B are independent events, P(A)=0.25 P(A∪B)=0.67

Q: Let  A and B be events with  P(A)=, 0.2 P(B)=, 0.9 and P(B|A)=0.5   Find  P(A and B)=

A: From the given information,P(A) = 0.2,P(B) = 0.9And P(B|A) = 0.5.

Q: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

Q: 3. Two events A and B are such that P (A) = 0.6, P (B) = 0.4 and P(A/B) = 0.2 Find a) P(ANB) b)…

A: it is given that  P(A) = 0.6 P(B) = 0.4 P( A/B ) = 0.2   Note: According to Bartleby expert…

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

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: If A and B are independent events and P(a)=0.6 and P(b)=0.3, what is P(a^c U b^c)?

A:

Q: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event

Q: Event A and Event B are equally likely, mutually exclusive, collectively exhaustive and independent…

A: Mutually Exclusive Events: Two events are said to be mutually exclusive if they cannot occur at the…