If two events, A and B, are such that P(A) = 1/6, P(AUB) = 11/30, and P(An B) = 1/42, find t 1. P₁ = P(B | A); 2. P₂ = P(B);

Q: given events Q and T, compute P (Q) if P(T and Q) =0.3 and P (T/Q) =0.6

A: provided that, P(T and Q) =0.3 and P (T/Q) =0.6 we use the formula, P (T/Q) = P( T and Q)/P(Q)

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

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Q: (b). A and B are two events such that 3 P(-4)=P(B) = 1/ and P(AUB) = 2 4 Calculate: (i). P(BA) (ii).…

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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: E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P( E | F )

A: Given data, P(E) = 0.3 P(F) = 0.2  P( E | F )=?

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)…

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Q: Two events A and B are such that P(A) = 1/4, P(A / B)=1/3, P(B /A) = 1/2. Find P(A / B). Select one:…

A: Solution: From the given information,

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

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Q: s some event, if P(A) = 0.91 , what is the value of P(A)?

A: Given P(A) = 0.91

Q: 2. Tracey feeds 9 squirrels and 3 of them have wonky tails. Tracey chooses 2 of them at random to…

A:

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: If P(A) = 0.7, P(B) = 0.4 and P(A/B) = 0.28, then P(B/A) is %3D %3D Select one: a. 0.16 O b.0.48 c.…

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Q: Use the diagram to answer the questions. (Example: AB is the event that A happens and then B…

A: Given the diagram to answer the following questions: (a) P(AB) (b) P(DF) (c) P(G|D) (d) P(C|A) (e)…

Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: J and K are independent events. P(J | K) = 0.17. Find P(J) P(J) =

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Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

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Q: J and K are independent events. P(J | K) = 0.76. Find P(J) P(J) =

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

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

Q: The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b.…

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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: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…

A: Answer: From the given data, P(A) = 0.32  and  P(B) = 0.28 If events A and B are independent events

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A∩B')   16/25   1/4   4/25…

A: Solution: From the given information, P(A) = 0.80 and P(B) = 0.20.

Q: Suppose the probability distribution for X = number of jobs held during the past year for students…

A: Given data: x Probability 0 0.15 1 0.37 2 0.27 3 0.14 4 0.07

Q: The two events E and F are independent with P(E) = 0.45 and P(F) = 0.3. Find P(E ∪ F).

A: Given that, The two events E and F are independent with  PE=0.45 PF=0.3 The probability PE∪F is…

Q: Suppose that A and B are independent events such that P(4)=0.70 and P(B)= 0.20. Find P(An B) and P(A…

A: We have to find given probabilty.

Q: Find the indicated probability by using the general addition rule. For a person selected randomly…

A: From the provided information,

Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: If events A and B are independent and P(A)= 0.25, P(B)= 0.30 Calculate P(A and B)? Round to two…

A: Events A and B are independent.

Q: Suppose that events E and F are independent with P(E)=0.65 and P(F)=0.72 What is P(E andF)? Round…

A: P(E)=0.65 P(F)=0.72 The events E and F are independent .

Q: J and K are independent events. P(J | K) = 0.93. Find P(J) P(J) =

A: A and B are the Independent Event if P(A ∩ B) = P(A) P(B)

Q: b. Use the fact that the total probability is equal to 1 to create a formulafor P(X = 3) in terms of…

A: Given information:Discrete random variable:If the variable X takes finite or countable values, then…

Q: The events are approximately independent because 0.700 = 0.700.  The events are not independent…

A: Two events, A and B, are independent ifP(A and B) = P(A) x P(B)We can then rearrange this…

Q: A researcher wishes to estimate the mean amount of money a person spends on lottery tickets each…

A: n=sample size= 50 X¯=sample mean=19σ=sample standard deviation=6.8 So the point estimate=X¯n=1950…

Q: For two events A and B, P(A) = 0.4 and P(B) 0.1. (a) If A and B are independent, then P(ANB)%3D…

A: As given by the question There are given that two events and their values: PA=0.4PB=0.1 From the…

Q: 92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following…

A: Solution Given That  G And H Are Mutually Exclusive Events. P(G) =0.5 P(H) = 0.3

Q: b. Let the events A and B be such that P(AC) = (0 + 10) %, P(B) = (6 + 15) %. find P (A U B), if i.…

A: Given: P(AC)=10%P(B)=21%

Q: Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).

A: According to the provided information,  P(E) = 0.48, P(F) = 0.55, and P(E⋂F) = 0.74

Q: Let A and B be two events such that P(A) 0.47 and P (B)=0.05. Do not round your responses. (If…

A: