Chapter 3 Probability -.49 It can be shown that for any three events A, B, and C, the probability that at least one of them will occur is given by P(AUBUC)= P(A)+P(B)+P(C) – P(ANB) – P(ANC) - P(BNC)+P(AOBOC) - | Verify that this formula holds for the probabilities of Figure 3.13. В 0.24 0.06 0.19 0.04 0.16 0.11

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: If events A and B are independent, P(B)-05 and P(A-B)-03, then P(B-A)-

A: The following information has been provided: PB=0.5 PA-B=0.3 We have given that A and B are…

Q: Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

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Q: A and B are mutually exclusive events with P(A)= 0.30 and P(B) = 0.40. Calculate P(A or

A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive

Q: Recall the multiplication rule for conditional probabilities given events A and B. P(ANB) = P(A)P(B…

A: According to the given information, we have P(A1)=0.80P(B|A1)=0.25P(A2)=0.20P(B|A2)=0.10

Q: Tom, Mike and Jane decode the code independently, the probabilities of their successfully  decoding…

A: Here, given that three people decide the code independently and the probabilities of each event is…

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?

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Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

Q: 2 The behaviour of a certain stock market index is considered over the next (n+1) consecutive…

A: a. Define N as the random variable representing the number of days among the next n days, on which,…

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

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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: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

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Q: Find the probability of selecting 9 or more girls. 00.122 00.435 00.212 O 0.001

A: Given that  The probabilities corresponding to the 14 possible values of x are summarized in the…

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)-0.70. Find P(ANB) and P…

A: We have given that A and B are independent events.

Q: (a) What is the probability that 2 or more are bad, when he samples 10 of them? (b) Instead, he…

A: Probability of product sample is bad = 0.05 = p Let variable X represent the number of bad itemsThe…

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: 3) Let us assume that we have a five sided die. The sides of the die are marked with the numbers –2,…

A: The distribution of X is given  Let us compute E(X2)  E(X2)=∑xx2P(X=x)=(-2)2 P(X=-2)…

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: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&B).

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Q: On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A)+ P(B). How…

A: If two events A and B are mutually exclusive i.e they can not be occur simultaneously then  P(A and…