How many ways are there to distribute r+s identical balls among five different children such that each child gets between two and seven (inclusive)? (Use a generating function method and show all your work)

Q: Let X and Y be two continuous random variables with joint probability density function given by:…

A: First we have to calculate the Var(Y) as Var(Y) = E(Y2) - [E(Y)]2

Q: VI. A three-digit number with no repeated digits is made from the digits 1 to 7. What is the…

A: Solution: From the given information, the digits are 1, 2, 3, 4, 5, 6 and 7.

Q: If a random variable X is defined such that: E(X + 4) = 10 and E[(X + 4)²] = 114. Then the values of…

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Q: With 10 degrees of freedom What value of X? leaves to its left a value of a = 0.02? None 2.99 3.059…

A: We have given that,  Degree of freedom (df) = 10 and significance level (α) = 0.02 Then,  We will…

Q: at a community event, a vendor lets attendees spin their prize wheel. the wheel consists of 5…

A: Solution: Let X be the number of spins that results in a win and n be the number of number of spins.…

Q: Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, ..., 20}.…

A: Followings are the explanation of the question A number is drawn from the set {1,2,3,....,20} i.e.…

Q: 24. There are seven finalists for the Math contest, and medals will be givền tổ thể tốp many ways…

A: Permutation:   It is nothing but the arrangement of items in a definite order where the order is…

Q: M&M's, 132 M&M's are blue, 69 are green, 68 are brown,   63 are olive, 62 are teal, 60 are navy, 56…

A: 1023 M&M in a bag Blue 132 Green 69 Olive 63 Brown 68 teal 62 navy 60 Black 56…

Q: Telephone calls enter a college switchboard on the average of two every three minutes. The…

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Q: Select the correct answer. A geologist finds out that a radioactive substance A that he found in the…

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Q: For each of the following random variables, find P(X > 5), P(2 5|X < 8). a. X ~ Geometric(G)…

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Q: 4. Getting a red card theM 5. The card is a face card. eldem 6. Drawing a numbered card. 7. The card…

A: ( 4 ) P ( red card ) = ? ( 5) P ( face card ) = ? ( 6 ) P ( numbered card ) = ? ( 7 ) P ( spade ) =…

Q: Determine whether the following statements are true or false. a) {2, 4, 6, 8} ⊂ {1, 2, 3, 4, 5, 6,…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer first…

Q: s A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4…

A: Given that blue =8 white = 6 black = 4

Q: A janitor owns a keychain with 5 identical looking keys on the chain. His must open a particular…

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Q: In a health examination survey of a prefecture in Japan, the population was found to have an average…

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Q: Question In a health examination survey of a prefecture in Japan, the population was found to have…

A: Given Data : Population Mean,μ = 99 Population Standard Deviation,σ = 12

Q: O Watch help video When Owen goes bowling, his scores are normally distributed with a mean of 105…

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Q: Problem 6: The networks Lab opens in the morning at 9:00 am. Students arrive at random for the Lab…

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Q: The joint PDF of two continuous random variables X and y is given: S(x, v) = e,x> 0, y> 0. Let U =…

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Q: Suppose again that the lifetime of a particular model of laptop is exponentially distributed with a…

A: Let X be the random variable representing the lifetime of the considered laptop in years. The…

Q: Let X be a random variable with probability density function, What is EX? , What is Var(X)? cx(5 –…

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Q: A group of people was asked what sports they've played. 30 had played soccer. 26 had played baseba…

A: 20 players surveyed have only ever played soccer.

Q: Question Suppose X, Y are two discrete random variables with probability function given by: Y\ X 1/9…

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Q: The joint distribution of the random variable X and Y is given in the following table 1 3. 4 Y 0. 18…

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Q: candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials.…

A: Solution

Q: 1%VA M >4 1:YA * Question If a random variable X is defined such that: E(X+4) = 10 and E[CX+ 4)2)=…

A: Variance V(X)= E(X2)- [E(X)]2

Q: Suppose that P(A)=0_25 and P(B) =x and P(AUB)= 0.7 For what choice of x are A and B independent? non…

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Q: B. Determine the Variance and Standard Deviation of each random variable. Write your answer in your…

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Q: If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is…

A: Introduction we have to find the probability of coming a number divisible by 5 when  (i) the digits…

Q: 15. A letter is chosen from the English alphabet. What is the probability the letter is a consonant…

A: In english alphabet there are total 26 letters . In which 5 are vowels(a,e,i,o,u) and other(26-5=21)…

Q: What is the probability that there will be exactly 4 red balls among the chosen balls? b. Given that…

A: An urn consists of 20 red balls and 30 green balls. We choose 10 balls at random from the urn. The…

Q: 15. A box contains 8 blüé balls, 6 white balls, and 4 black balls. In how many ways can we select 4…

A: Given that blue = 8 white = 6 black = 4

Q: utes, 49 seconds. * Question Completion Status: A Moving to the next question prevents changes to…

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Q: Question * Let X and Y be two continuous random variables with joint probability density function…

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Q: The joint probability density function for X and Y is given by: ((x+y) f(x. y) = x> 0, y > 0, 3x…

A: I solved exactly first question because of bartleby policy if you want more please upload separately

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X -1 1 1/9 1/9…

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Q: 27. In how many ways can each of the following be drawn deck of 52 cards? three diamonds two red…

A: To find the number of ways of choosing each of the following cards from a standard deck of 52 cards.…

Q: The random variable X designates to time between calls to the emergency telephone number 911 The…

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Q: What is the probability that a student selected randomly is a Democrat or a Republican? Do not write…

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Q: (a) Among nine randomly selected goblets, how likely is it that only one is a second? Recall that…

A: Given: probability=18%n=9

Q: 25. The class interval containing the P class is 23. The class boundaries containing the modal class…

A: For the given frequency distribution table,  we need to find; 22. The class boundaries containing…

Q: The joint distribution of the random variable X and Y is given in the following table: 1 2 3. 4 Y 1…

A: For the given joint distribution, we need to find the missing  values a and b.

Q: n how many ways can each of the following be drawn from a standard deck of 52 cards? а. three…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Given information: μ=231.7σ=1.3n=8

Q: The joint distribution of the random variable X and Y is given in the following table: X Y 2. 1 16…

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Q: Question Al At the college enquiry counter, each enquiry received is handled by Adam, Billy or…

A: Given that, The probability of Adam handling an enquiry is 0.2 Of which 60% are answered…

Q: Let X and Y be two continuous random variables with joint probability density function given by:…

A: Option C is the correct answer.

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

A: Given data n=260 And given  the population after 12 hours is double the population after 1 hour

Q: Assume a postal code consists of 6 characters. Each character can be any letter from A to Z or any…

A: Given data Assume a postal code consists of 6 characters