Suppose that A and B are events such that P (A|B) = P (B|A), P (AUB) = 1, and P (AB) > 0. Prove tha P(A) > /.

Q: The event that exactly one of the events A or B occurs can be represented as (An B') U (A'n B). Show…

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Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

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Q: Let A and B be events such that P(A)=.P(B)= and P(AUB)= 5. 10 (a) Find P(A|B) (b) Find P(A|B') (c)…

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Q: Let A,= {2,4,6,..., 2i) where i = 1, 2, 3, ... ex A7 (2.4.6.8, 10, 12, 143 Find A F4 {2,4,.., 2n-3}…

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Q: P (A) a, P (B) b and P (P (AB)- c then the expression of P (A'B')in erms of a, b and c is:

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Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

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Q: a. Let A and B be two events such that P(A) = 0.05 and P(A U B) = 0,49. Calculate P(B') if events A…

A: Continue with Simple probability theory...............

Q: COM C 2 1 ("skorjo, jossa avoy os submitus pencury (4) (XX 9 C C F inox puncs ['sophe the sonop and…

A: Let X = the number of people who arrive late for the seminar. Total no. of individuals (n) = 8…

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

A: Given thatA and B are independent events.such that

Q: If E and F are two independent events, such that P (E ∩ F ) = 1/6 , P (E' ∩ F' ) = 1/3 and (P (E) −…

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Q: (2x-x*), 2x-x²), 0<xs2 Suppose X is random variable whose p.d.f. is f(x)={4 0, elsewhere Find the…

A: It is an important part of statistics. It is widely used.

Q: a) Show that P(E) =1-P(E). b) if the probability that an automobile mechanic will service 3, 4, 5,…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: Let X be the number of students who show up for a professor's office hour on a particular day.…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: Suppose that A and B are events such that P (A|B) = P (B|A) , P(AUB) = 1, and P(An B) > 0. Prove…

A: Solution: From the given information,

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: Bn be independent events. Show n P(ŰB₁) = 1 - (1 - P(B;)).

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Q: Suppose that the number of customers visiting a fast food restaurant in a given day is N-…

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Q: Let A and B be events in an experiment and suppose that P(A) not equal to zero.In n trials the event…

A: Given that there are two events A and B.   The total number of trails: n Number of times event A…

Q: 6. If X~P,(1.8), find the following probabilities. a) P(X=1) b) P(X22) c)PCX<1)

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Q: 1) IfX~B(10,0.7), find the probability for P(X=5)

A: Answer: From the given data, X ~ B(10, 0.7) X is a binomial random variable with parameters n = 10…

Q: Q1) 14% of the adults in a certain population are infected by a Corona Virus. Five adults are…

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Q: QIC/ If the disjoint events A and B such that P(B)=1/3 , then the value of P(BN A) is-----,

A: It is an important part of statistics. It is widely used.

Q: Suppose that A and B are independent events such thatPA)30.10 and P (B)=0.60. Find P (A N B) and P…

A: It is given that event A and B are independent. P(A¯) =0.10 Hence, P(A) =1-P(A¯) =1-0.10=0.90 and…