Use Tchebychet's inequality to shew that forn > 36, the probability thad in n throws of a tair die, the number of sixes lies between – vn and + vn as - 6 6

Q: Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than…

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Q: What is the probability that given a block n of 30 bits, that you have an error sequence E(X)=P(X)…

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Q: and the last digit must De 3! [Q2] A box contains 12 red balls, 8 white balls, and 6 blue balls. (a)…

A: Given that  Total ball =12+6+8=26 Red ball=12 Blue ball=6 White ball=8

Q: Suppose that there are variables x1, X2, T3, X4 Which are natural numbers, i.e. they are nen…

A: We have to probability that for at least one of the variables xi≥10. Number of solutions of…

Q: Suppose that 35% of people have a dog, 21% of people have a cat, and 16% of people own both. someone…

A: Given that,35% of people have a dog21% of people have a cat16% of people own both

Q: Compute the probability that at least three of the four M&M's are e yellow. 0.6835

A: As we are entitled to solve one question at a time I will answer first one as some information is…

Q: Let x and y be randomly chosen from inside the circle with r = 4. For selected numbers, x+y≥ 4 and…

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Q: Find UCL, LCL for a 'c' chart when u. = 6.0 and u. = 12.5 with 0.995 and 0.005 probability limits.

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Q: Refer to the figure below in which surge protectors p and q are used to protect an expensive…

A: GivenProbability that surge protector work correctly during voltage surge = 0.89P(No fail) =…

Q: The probability that Hamed may get grade A in Maths 102 is 0.8, and Shaker may get grade A in Maths…

A: Given: P( Hamed gets grade A in Maths 102) = 0.8 P( Shaker gets grade A in Maths 102) = 0.65

Q: The probability that a biased coin comes up heads is 0.6. Let k be the number of flips that come up…

A: Given that,Probability = 0.6Sample size = 20

Q: Suppose that a certain college class contains 49 students, Of these, 27 are juniors, 24 are…

A: a) It is given that, there are 49 students in a class, among which 27 are juniors, 24 are…

Q: Given that the person in position T is the tallest of all the people in the first L positions (for 1…

A: Given Data: 1 ≤ T ≤ L ≤ N

Q: Find the probability that by guess-work a student can correctly answer 25 to 30 questions in a…

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Q: A box contains six discs numbered 1 to 6. Find for each integer k from 3 to 11, the probability that…

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Q: Consider the wheel to the right. If the wheel is spun and each section is equally likely to stop…

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Q: Q.4. Compute the probability that: (a) their sum is odd; (b) their product is even. Four distinct…

A: Given : Four distinct integers are chosen at random from the first 10 positive integers. In the…

Q: Consider the wheel to the right. If the wheel is spun and each section is equally likely to stop…

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Q: Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4…

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Q: Find the probability that a randomly chosen point in the figure lies in the shaded region. (Hint:…

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Q: Assume the spinner has 5 unequal sectors 1/6 yellow, 2/9 blue, 5/18 white, 1/9 red, and 2/9 green as…

A: Given data :  the spinner has 5 unequal sectors with probabilities of 1/6 yellow, 2/9 blue, 5/18…

Q: The probability that the protective building is between 15- and 20-microns dense is 0.417, which is…

A: From the given information, X follows uniform distribution with parameter 12 and 24. Height of the…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: The all possible sample space has 8 outcomes.

Q: Which would be the appropriate command in Excel to calculate the following? What is the probability…

A: Given: n = 13 x = 6 p = 0.80

Q: t Dee Dee's Dinette​, the probability that a customer orders coffee is 0.66​, the probability that a…

A: Given : the probability that a customer orders coffee is 0.66 the probability that a customer orders…

Q: Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than…

A: Let us define some events A : Bin 1 is selected. B : Bin 2 is selected. E : ball is green. The…

Q: Suppose that a certain college class contains 38 students. Of these, 26 are sophomores, 15 are…

A: Given Information: A certain college class contains 38 students. Of which 26 are sophomores and 15…

Q: The graph of the discrete probability to the right represents the number of live births by a mother…

A: Let x be the discrete random variable and it said to follows the probability mass fucntion with the…

Q: Show that k = 81/16. %3D Find the probability that X is less than 4. Find Var(X).

A: As f(x) is a probability density function then it must satisfy ∫04/9fx dx=1 The probability that X…

Q: ) Suppose that two balls are randomly and independently selected in succession with replacement from…

A: Given that,  Two balls are selected from a box containing 4 similar balls numbered 5,10,15,20 We…

Q: If (a,b) denotes an arbitrary interval of numbers on the real number line, Find the probability when…

A: Given [a, b] an arbitrary interval of real numbers.

Q: that the sequential probability ratio test Determine co(n) and ci(n).

A: *Answer:

Q: Let X - binomial(n, p) and Y ~ binomial(m, p) be independent. a. Derive the MGF of W = X + Y. b. By…

A: 3. Given that X~binomialn,p and Y~binomial(m, p). The MGF of X is, MXt=q+petn The MGF of Y is,…

Q: The outcome of any o 2-point shots, and 75 probability that he ma

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Q: f two fair dice are rolled, find the probability of the following result. A double, given that the…

A: Given that, two fair dice are rolled

Q: Which would be the appropriate command in Excel to calculate the following? What is the probability…

A: The sample size n is 13.

Q: Find the probability a randomly selected z-score is between -1.2 and 2.7. Round your result to 4…

A: Given that, Z scores are -1.2 and 2.7

Q: use the nonmal biwomiAL to fiud the pRobability FoR the Specific Value of x AppRoki im Ation to the

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Q: Q1) A box containing a group of balls (blue and red) totaling 25 balls. If another Five blue balls…

A: Given that, A box containing a group of balls (blue and red) totaling 25 balls. If another Five blue…

Q: What is the probability that: 1. X is at least 4? 2. X is more than 4? 3. X is less thàn 3? 4. X is…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPARTS  Here use given pmf of x

Q: Suppose the elements of 2 are the positive integers and define the probability set function P(@) =…

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Q: The probability of someone getting covid positive is 0.6, the probability of someone dying suddenly…

A: The probability of someone getting covid positive is 0.6. The probability of someone dying suddenly…

Q: Each of the digits 0-9 is written on a slip of paper, and the slips are placed in a hat. If 2 slips…

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Q: IF there are N numbers (N=86) numbered from 1 to N. what the Probability that the third number drawn…

A: We have to find correct answer..

Q: (b) How many arrangements are there of the letters in STATISTICIANS such that • the Is are…

A: Given information: STATISTICIANS Total number of letters in given word = 13(3S, 2A, 3T, 3I) Total…

Q: (a) Find the probability that in two tosses of a coin, one is heads and one tails.That in six tosses…

A: The event in which N sided die is tossed N times and N faces shows up is equivalent as N balls are…

Q: A box contains m balls of which r are red. They are randomly picked up. • Two balls are taken one…

A: Since you have asked multiple questions, we will answer the first one. If you need specific answers,…

Q: suppos that we that two boxes contains balls as, the first box A1 has 3 red balls and 5 black balls,…

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Q: Express the probability of drawing a red 2 from a deck of cards as a reduced fraction. O 1/26 O 1/52…

A: Deck consists of 52 cards.   n(S)=52   Let E be event that card is Red 2 P(E)=?

Q: that Q5A A box contains 39 red balls, 85 white balls, and 63 blue balls. (a) If one ball is drawn…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…