Let P, Q, R be events in a sample space S and suppose the following: Pr[P] = Pr[Q] = Pr[ R] = 0.30 Pr[ Pn R] = Pr[QnR] = 0.12 Pr[ Pn QnR] = 0.04 . P and Q are independent Find the probability that an outcome selected at random from S belongs to neither P, nor Q, nor R. ● ● ●

Q: Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the…

A: (2)Answer:- We know that the sample space for a roll two number cubes is,  {(1,1) ,(1,2) ,(1,3)…

Q: A store runs a sale exclusively for their club members every 20 days. If Marcus joins the club on…

A: A store runs a sale exclusively for their club members every 20 days. If Marcus joins the club on…

Q: In a deck of playing cards, there are 52 cards consisting of 4 suits (hearts, diamonds, clubs, and…

A: Ans:- Given, In a deck of playing cards, there are 52 cards consisting of 4 suits (hearts, diamonds,…

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A: 5. The data about award by grade are given.

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Q: Find the probability of event B NOT occurring.

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A: Five distinct numbers are randomly distributed to players numbered 1 through 5. When- ever two…

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A: we want to find the probability of drawing a club three times in a row from a regular deck of 52…

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Q: In a class of students, the following data table summarizes how many students have a brother or a…

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A: X~U(a,b) a=45  , b=55 f(x)=1/(b-a)  , a<x<b

Q: I dont understand how we go from P(B) = P(A) + P(B ∩ A') to P(B) ≥ P(A)

A: A,B  belongs to F  We have to prove that If A ⊂B then  P(A)≤ P(B)

Q: The following table provides a probability distribution for the random variable x. (a)Compute E(x),…

A: We have given the following probability distribution table  x f(x) 8 0.25 16 0.50 24 0.25

Q: My answer choices are 1/10. 1/150. 3/20. 1:15

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Q: A sales rep for a national clothing company makes 4 calls per day. Based on historical

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Q: Find the number of different selections of 4 letters from the word STATISTICS.

A: "STATISTICS" No.of letters in the word " STATISTICS " =10

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A: Bayesian probability is the probability of occurrence of an event based on available evidence.

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: A given data set is normally distributed and has a mean of 25 and a standard deviation of 3. What…

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Q: Calculate the Interquartile range (IQR) of the following: Minimum = 9 First quartile = 16 Median…

A: we have given  Minimum = 9 First quartile Q1= 16 Median Q2= 23 Third quartile Q3 = 29 Maximum = 36…

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Q: The lighting department of a city has installed 2000 electric lamps with an average life of 10,000 h…

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A:

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Q: You have just created a probability distribution - a table that shows all the possibilities for an…

A: You have just created a probability distribution - a table that shows all the possibilities for an…

Q: In a game of chance, there are three boxes: Box A contains 5 red balls and 3 blue balls, Box B…

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Q: Question 2: For the following data. X Y 2 -1 3 3 67 78 98 2 3 5 6 11 11 12 14 14 16 3 3 11 13 (a)…

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A:

Q: b) (i) The probability distribution of the number of customers visiting a specialty store each…

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