Given three events A, B and C such that P(A n B n C) ‡ 0 and P(C|An B) = P(C|B), show that P(A/B nC) = P(A|B).
Q: Given N(23.4, 6.2), the probability that X is less than 23.4, is:
A: Given, N(23.4, 6.2) i.e., μ=23.4σ2=6.2σ=2.49P(X<23.4)=?
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A: In general, there are 36 possible outcomes when rolled a fair dice rolled tow times.
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A: Answer: From the given data, P(A) = 0.6 P(B) = 0.2 Event A and event B are mutually exclusive,
Q: The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4…
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Q: The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4…
A: GivenThe probability that a randomly selected person has high blood pressure (the event H) is P(H) =…
Q: b) The events M and Y are independent such that P(M) = a,P(Y) = 0.3, and P(M n Y) = 0.15. i) Find…
A: b)GivenP(M)=aP(Y)=0.3P(M∩Y)=0.15
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Q: Be sure to keep up to 4 decimal places for all answers Suppose that P(A)=1/4 and P(B)=1/3. Assuming…
A: P(A) = 14P(B) = 13mutually exclusive events.
Q: Suppose each one overlaps with equal probability because of 6 of a membrane. Imagine a game played…
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Q: V) Two fair dice are tossed. What is the probability that the sum of the number of dots shown on the…
A: V). Two fair dice are rolled.
Q: State whether the following statements are true or false, and provide a brief explanation. i. For a…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
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A:
Q: Q15: Let A and B be two events such that Let A and B be two events such that P (A) > 0 and P (B) >…
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A:
Q: The probability of drawing (3 :red ball before addition is
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Q: From deck of 52 playing cards, 2 cards are randomly selected without replacement. Let D₁ = the event…
A: According to our guidelines, we can solve 3 subparts only. I solve part a , b and c .
Q: Translate the following statements using probability notation. Use X as the random variable. The…
A: Translate the statements using probability notation.
Q: Q3) a) There are two boxes; the first one has 5 red balls and 7 blue balls while the second box has…
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A:
Q: [Q2] A box contains 12 red balls, 8 white balls, and 6 blue balls. (a) if a ball is drawn at random,…
A: Given Information: Red balls = 12 White balls = 8 Blue balls = 6
Q: T1.4 Three balls are selected randomly from a box containing 6 green, 4 red and 3 blue balls. Find…
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Q: if the probability of a student succeeding in probability is 0.6, the probability of his success in…
A:
Q: Find the probabilities for parts a and b. a. P(F≤3.90) for v₁ = 5, V₂ = 24 b. P(F>2.47) for V₁ = 24,…
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Q: 2) Given X-N (10,9), find the probability for P (9.25 ≤ x ≤12.25)
A: X~N(10,9) Mean(μ)=10 standard deviation(σ)=9
Q: Q.6| Suppose that I have a coin for which P(H)=p and P(T)=1-p. I toss the coin 5 times. a) What is…
A: Given: P(h)=p P(T)= 1-p suppose a coin is tossed 5 times a) what is the probability that the out…
Q: Event E: Being a lifeguard; Event F: getting a suntan b) Event E and F are independent or…
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Q: Marvin is deciding a path from three (3) routes to reach = Village C (he is at Village A): A → Bk →…
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Q: Is the probability of A given Complement of A equal 1? True or false
A: Here, it is required to check whether the probability of A given Complement of A is equal to 1 or…
Q: 15. On Main Street, there are three traffic lights which operate independently. Each light is red…
A: It is an important part of statistics . It is widely used in statistics .
Q: If rhe isss u. Favor of chria winning the elcetuon are 6:5, then what ia the probability that chria…
A: The odds in favour of event A is P(A)/(1 - P(A)).
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- Check the validity of the inference given below directly.I need the answer as soon as possibleA lecturer knows that the probability distribution for X = number of students who come to his office on Monday is as follows: X 0 P(X=x) 0.20 1 0.25 A) 0.40 B) 0.50 C) 0.80 D) 0.90 2 0.30 3 0.15 4 0.10 What is the probability that at least 2 students come to his office on Monday?
- assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A n B] = 0.25. Compute the following conditional probabilities: (1) Pr[A|B] = (2) Pr[B|A] =b) The table below shows a random sample of respondents consists of 109 local and 91foreign visitors and the island they preferred to vacation. Island Respondent Redang Island (R) Tioman Island (T) Rawa Island (W) Pangkor Island (P) Local (L) 34 2a a 15 Foreigner (F) 5/2 b 38 18 b i) Find the value of a and b .ii) Find the probability, P(T' U F).let X ~ n(8, 1.5) wwhat is the rpobability associated with an outcome between (6.5, 9.5)?
