1. We have an urn with 15 red, 20 blue and 25 green balls. (a) We draw 10 balls without replacement (b) A is the event we draw 4 green balls (c) Bis the event we draw 3 blue balls (d) Use simulation to find P(A|B) (e) Use theory to find P(A|B)

Q: C(n,r) = r! Use combinations to compute the probability that both balls are white. Compute the…

A: Given Two balls are drawn at random from an urn containing five white eight red balls.

Q: Samplity. 3(2~)- H (2 ") 2

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Q: Events A and B are mutually exclusive with P(A) = 0.35 and P(B) = 0.25. Then, P(B) = P(Bº) = (Enter…

A: GivenA and B are mutually exclusiveP(A)=0.35P(B)=0.25

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AN B) = 0.1. Calculate (a) P(A|B); (b)…

A: As per our guidelines we are suppose to answer three sub parts . Given,P(A)=0.5 , P(B)=0.3 ,…

Q: At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A…

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Q: 5 boys & 5 girls sit in a row randomly, then (A) Probability that 5 girls sit together = 56 10…

A: Probability = favorable outcomes /total outcomes According to guidelines, we can solve only one…

Q: 4(3 + 4y – 2m +9n) = O - 8m-36n 12+16y O 12 + 16y + 8m + 36n O 12 + 16y - 8m + 36n O -12 + 16y 8m +…

A: k(a+bx+cy+dz)=ka+(kb)x+(kc)y+(kd)z. Where, k,a,b,c and d are real constants and x,y and z are…

Q: 1. Given P(A) = 0.5, P(B) = 0.6, P(An B) = 0.4, find (a) P(ANB) (b) P(AUB) 2. Tossing a six-faced…

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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: P(S;+1|S;) = 0.15 and P(S;+1|S;) = 0.40 for j = 1, 2, 3, where S; is the event that by the jth…

A: *answer :

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

Q: Sarah is flipping a coin.  She flips it six times and gets H, H, H, H, H, H.  She thinks that…

A: If the coin is fair, then the probability of getting head (H)= 12 and the probability of getting…

Q: If n(E1 and E2)=5 and n(E1)=10 then P(E2|E1)=

A: Given that n(E1 and E2) = 5, n(E1) = 10 To find P(E2|E1)

Q: 6R 4B 8R 2B No. I No. II You take an urn, draw one ball and find that it is red. What is the…

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Q: 12:35. Three groups of children contain respectively 3 girls and 1 boy; 2 girls and 2 boys; 1 girl…

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Q: Question: Roll a fair die. Let X be the output of the experiment X- (1,2, 3,4,5,6). Then P (X - 1|X…

A: A fair die is rolled. X is the outcome of the die.

Q: Suppose all 8 possible outcomes of an experiment are equally likely and denoted as E1, E2, E3, E4,…

A: Given that, the 8 possible outcomes are equally likely events. So, the probability…

Q: 5. Suppose we toss 4 dice at the same time and write down the sum of 4 dice at each trial. Which…

A: Suppose we toss 4 dice at the same time and write down the sum of 4 dice at each trial, The value we…

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: Which of the following is NOT true:

A: Here given different sentences for probability .

Q: Events A and B are independent, where P(A) = 0.25 and P(B) = 0.10. Determine P(A∩B).

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Q: B. Find the value of n: (n+3)t 1. (n+1)! = 20

A:

Q: A spinner has equally sized area that are colored blue, pink, or yellow. The experiment chart below…

A: The results after spinning the arrow ten times are shown below:Trial…

Q: 3/18 (a) 17/18 (b) 1 (c) 13/18 (d)

A:

Q: A box has (4) balls. Choose (2) balls one by one with replacement, x is the first chosen and Y is…

A: Given information: No. of balls=4Selection=with replacementNo. of balls to be selected=2

Q: Chapter 11 Test (3) 6. Simplify the following: n!(n+1)! (n-2)!(n+3)!

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Q: 25. A bag contains n counters marked 1, 2, 3,, ... n. If two counters are drawn, show that the…

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Q: A box contains 20 balls, of which 10 are red and 10 are blue. We draw ten balls from the box, and…

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Q: the numbers on the first and second add to 7', B = 'the numbers on the second and third add to 7',…

A: When a dice is rolled there are 6 outcomes, i.e., {1,2,3,4,5,6} When 3 dice are rolled, the total…

Q: John needs eight or more tubes to flash for a special effect. If John wants to be 99% confident that…

A: Given information: P(Successful ignition) = 0.88 (Parent question) x = 8 P(x > 8) = 0.99

Q: (x − 8) (x² − 4x + 4) − (10x² – 2x³ – 7)

A:

Q: = 4.) (a) Describe the distribution of X. It might help to draw a 6 x 6 array to think about S and…

A: Note:here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS  Here two dice…

Q: (d) Find P(1 Y ≤ 3|X= 1), P(Y ≤ 2|X ≤ P(X=2|Y= 3). (e) Find E(Y|X= 1) and Var(Y|X=1). H 2), and

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Q: Roll two 5-sided fair dice independently. Let X and Y denote the numbers appeared on the upper faces…

A: There are two 5-sided fair dices.Let denote the number appeared on upper face of the first die and…

Q: (a) Suppose that we roll two six-sided dice and let X and Y be two numbers that appear. Find the pmf…

A: Here given that 2 six sided dice are rolled ,  So ,total possible outcomes = 6 * 6 = 36  NOTE : As…

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: (d) If we define the events A and B by: A = {(X,Y):2(Y – X) > Y + X} Determine P(Ān B).

A: To find the probability of the said event please repost the question with the respective probability…

Q: A. 3 А. 4 3 В. 39 С. 64 9 D.

A:

Q: Milan state

A: Here's the step-by-step explanations for each part of the problem to help understand how we arrive…

Q: (a) In an experiment, a pair of dice (green and blue) are tossed and the numbers that come up are…

A: We have given that a pair of dice ( green and blue ) are tossed and the numbers that come up are…

Q: Compute the following Probabilities Pris distributed N (4,9), P. (YS6) = 4 if Y is dis tributed…

A: 1a) ∑axi+b = a∑xi+∑b  =a*n*x + n*b therefore option ii is the correct option