Prove Γ (n) = (n-1)! where n ∈ ℕ

Q: Suppose X is a random variable with mean 10 and variance 3. Find the numerical value of P{X < 10-…

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Q: Q4:Let X be a continuous random variable with distribution ==kif 0≤x≤8 f(x): elsewhere 1. Find P (2…

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Q: bank developed a model for predicting the average checking and savings account balance as…

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Q: If P(A)= 0.7 and P( B)= 0.6, find P (AUB) if: A and B are where Be is complement of B (not B)…

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Q: Authentic Thai rattan chairs are delivered to Gary Schwartz's chain of retail stores, called The…

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Q: Suppose that the number of drivers who travel between a particular origin and destination during a…

A: given data,poission distribution μ = 20 for poission distribution μ = λ = 20we have to find out the…

Q: 10. An undergraduate student has asked a professor for a letter of recommendation. He estimates that…

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Q: 6. A box contains good and defective items. If an item drawn is good, we assign the number 1 to the…

A: Given that, A box contains good and defective items. If an item drawn is good, we assign the number…

Q: 3. How many ways can 12 people line up in each scenario? a) There are 6 males and 6 females and they…

A: The objective is to determine the number of ways 12 people can line up.

Q: Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 13 samples are…

A: Given that        p(samples mutated)=2%p(samples mutated)=0.02…

Q: iv) Find the value of ß such that P(T> B) = 0.01, where T = ₁Z₁² + ₁W₁²

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Q: (a) If one student is selected at random from these 400 students, find the probability that this…

A: Given that    Juice  Iced Coffee  Total Regular  210 75 285 Sugar free 95 20 115 Total 305…

Q: utocovariance r₁(h) and r2(h), respectively. That is Cov[Xt, Xt+h] = r₁(h), Cov[Yt, Yt+h] = r2(h)…

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Q: A bag has six balls labeled A, B, C, D, E, and F. One ball will be randomly picked, and its letter…

A: given data a bag has 6 balls labeled A,B,C,D,E,F

Q: 4. A biologist knows that the average length of a leaf of a certain full-grown plant is 4 inches.…

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Q: Colour the six faces of a cube with two colors, blue and red. Each of the faces is either blue or…

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Q: I need formula for this problem

A: Coupon codes are  $75 Purchase $15 off The coupon codes will have a total of 5 characters…

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…

Q: 5. How many six digit numbers are there that start and end with a prime digit while the middle 4…

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Q: 4) The following two independent spinners were spun simultaneously 13 times. What is the probability…

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Q: Dependent and Independent Events A wildlife audit was recently conducted in Port Augusta, the…

A: Given data: Categories Frequency Amphibians 12 Insects 30 Fish 9 Reptiles 25 Birds 22…

Q: Verify that the following function is a probability mass function, and determine the requested…

A: Given data isf(x)=(12531)(15)x    ; x={1,2,3}

Q: 2) A company survey results shows that 46% of employees are vegans. 58 employees were surveyed. What…

A: Given that  n = 58 , p = 46% = 0.46 X ~ Binomial ( n = 58 , p = 0.46 ) p = Probability of employees…

Q: Under the MSE criterion, we want to find the best linear prediction model for Y3 based on X: Y3 = ߢ…

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Q: 7) The probability that Jack scores in a game is 4 times the probability that he will not score.…

A: 7) It is given that Jack scores in a game is 4 times the probability that he will not score.

Q: (i) Calculate the probability that a randomly chosen policy holder from this portfolio will make a…

A: Let us define some events A : a policy holder is from group A. B : a policy holder is from group B.…

Q: 8. 20% of people are "accident-prone" and have a probability of 0.15 of having an accident in a…

A: Solution To find the probabilities we will use conditional probability formula.

Q: A, B or C is 13%, 3% and 2%, respectively. (i) Calculate the probability that a randomly chosen…

A: Let us define some events A : a policy holder is from group A. B : a policy holder is from group B.…

Q: 5. Suppose that the probability of a defect in a foot of magnetic tape is 0.002. Use the Poisson…

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: 1. Two events have P(A) = P(B|A) = and P(A/B) = Compute P(A n B), P(B), P(A U B). 2. A, B, and C are…

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Q: Based on a study of 2,155 children between the ages of one and four, researchers at a certain…

A: We have to choose correct options for Population and sample in the study of 2155 between ages of one…

Q: 1.5.2. There are 5 urns, numbered 1 to 5. Each urn contains 10 balls. Urn, has defective balls, i =…

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Q: 9. A pair of dice is thrown. If the two numbers appearing are different, find the probability that…

A: When pair of  dice are thrown simultaneously, the sample space associated with the random experiment…

Q: Twenty-four people enter a tennis tournament. How many different first-round matches are possible if…

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Q: ent and i need help with this practice question please use « let » statements and permutations if…

A: Doctors 8 Lab Technicians 7 Nurses 12 Total 27 A committee formed requires a size = 3…

Q: ions f to h?

A: Month Folders Produced x Costs Jan 10 35 Feb 15 40 Mar 22 60 Apr 30 72 May 28 68 Jun 21…

Q: A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a…

A: Let X denote the number of lines is use at specified time.   The pmf of x is given in following…

Q: a) Let X₁, X₂, X3.....X30 be a random sample of size 30 from a population distributed with the…

A: Given Zi~N(0,1) and Wi~N(0,1)  Result: t~F(a,b) Then  Mean=E(t)=b/(b-2) V(t)=2b2 (a+b-2)/[a(b-2)2…

Q: A flower store has an inventory of 25 roses, 15 lilies, 30 tulips, 20 gladiola, and 10 daisies. A…

A: given data 25 roses 15 lilies30 tulips20 gladiola10 daisies100 total flowers

Q: Yоu hаvе а sеt оf tеո fаіr 6-sіԁеԁ ԁісе. Еасh оf thеsе ԁісе hаs 3 rеԁ fасеs, 2 bluе fасеs, аոԁ 1…

A: Let R represents red, B represents blue and G represents green colour.  We've 10 fair dice. n= 10…

Q: 12. The probability of a new antiviral medication successfully curing patients was found to be 0.77.…

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Q: The number of customers arriving per hour at a certain automobile service facility is assumed to…

A: Givenλ=7 customers will arrive per hour

Q: Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made…

A: Given information:

Q: Suppose that a sequence of mutually independent and identically distributed discrete random…

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Q: - Let Y₁ and Y₂ be two random variables with joint density 1. E[Y₁ - Y₂] 2. E[Y₁+Y₂] 3. E[Y₁] 0 1 2…

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Q: 1) How many 4 digit numbers exist, with at least 1 repeating digit? (example 2218, 3333, 3555, 6699)

A: The objective is to find the number of 4 digit numbers that can be formed with at least 1 repeating…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: given data margin of  error = 3% ∴ E = 0.0399% confidence leveln = ?

Q: The time intervals between cars that successively pass a toll booth have an exponential distribution…

A: Exponential distribution is the type of continuous distribution. It has only one parameter and it is…

Q: How many possible outcomes are there in the sample space of an experiment that consists of picking a…

A: All intended outcomes of an incident are part of the sample space. For example, a single six-sided…

Q: How many possible outcomes are there in the sample space of an experiment that consists of picking a…

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