(a) Use the definition of conditional probability and additivity of probability to show that Р(4( В) — 1 — Р(AВ).

Q: The prior probabilities of events A1, A2 and A3 if P(A1)=0.20, P(A2)=0.50 and P(A3)=0.30. The…

A: Given that , P(A1) = 0.20P(A2) = 0.50P(A3) = 0.300.500.400.30

Q: Given X and Y are independent events respectively. P (X) = 0.65, P (Y) = 0.15. Event Z refers to the…

A: Dear students as per guidelines we solve only first three subparts only.

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

A: Find the conditional probability of the given event when two fair dice are rolled(one red and one…

Q: (a) If A and B are mutually exclusive events, compute P(A or B). To determine  P(A or B) means that…

A:

Q: Q2: Box 1 contains 30 red and 70 white balls, box 2 contains 50 red and 50 white balls, and box 3…

A: The probability that an even Ai (i=1(1)n) will occur given that a event B has already occurred is…

Q: Robots Qunz and Ruu produce 10% and 90% respectively of the production of a component intended for…

A:

Q: We have found that A n B = {E₂}. There are five equally likely simple events, E₁, E₂, E5, so each…

A: There are five equally likely simple events,  so each event has probability .

Q: selected person is a runner (the event R) is P(R) = 0.2. The probability that a randomly selected…

A:

Q: Suppose events A and B are independent and P(A) = = 1 P(B) = 4 Find the probability. (Enter the…

A:

Q: A company has estimated that the probabilities of success for 3 products introduced in the market…

A: Given  3 products introduced in the market are 1/5, 1/3,  and  1/2

Q: Shannon owns two stocks: A and B. The probability that A will be profitable is 0.7. The probability…

A:

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.2 and event B…

A: Given: A and B are mutually exclusive .         P(A)=0.2  ,   P(B)=0.64 ∴ P(A∪B)=P(A)+P(B)i.e.…

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: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: Suppose that A and B are events for which Р(A| B) — 0.8, Р(В A) — 0.15, and Р(A) — 0.2. P(B) =

A:

Q: A company has estimated that the probabilities of success for 3 products introduced in the market…

A: Let A be the event that the first product is successful, B be the event that the second product is…

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: information, (a)Are the events L and F mutually exclusive? (b)Are the events L and F independent?

A: It is given asP(L) = 0.58P(F) = 0.5P(L∩F) = 0.31

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.07 and event B…

A:

Q: A company has estimated that the probabilities of success for 3 products introduced in the market…

A: Given Information:  The probability of success of product 1 = 1/4 = 0.25 The probability of failure…