A random variable X has a probability density function ; x<0, f(x)= 0 0≤x≤l, ; 1

Q: technique to find the density function for the random variable Y. The density function should be…

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Q: a) b) c) P(X>Y+1), X-3 P(X=³ <c)=0.5 S a constant c such that P standard deviation of X, <c=0.95…

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Q: If A and B are two mutually exclusive events with P(A)= 0.5 and P(B)=0.4, find the following…

A: Followings are the answer of the question

Q: L. Classify the following random variables as discrete or continuous. 1. The number of cellphone…

A: Comments: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: Question 1: Discrete random variables DI 59 D2 D3 D4 D5 920 p(x) = Let X be a discrete random…

A: " Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Suppose (i) X, has a pdf f₁(x₁) = - x₁²e-x²/2 16 0 X₂ has a pdf f₂(x₂) = { x₂²e-x₂²³/2 4 0 (iii) X,…

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Q: 3. From a container of 900 computer disks, 30 of these disks are defective (therefore 870 disks are…

A: From a container of 900 computer disks, we randomly take out 25 disks.

Q: 1 Joyce's purse contains 48 pennies, 12 nickels, 26 dimes, and 14 quarters. She draws one coin from…

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Q: What is the probability either Dan or Jill will go to the party?

A: Here given,  The odds in favor of Dan going to the party tomorrow is 11:3. The odds against Jill…

Q: Note that an Ace is considered a face card for this problem) In drawing a single card from a…

A: A deck contains 52 cards which has 4 suits: Diamonds, hearts, clubs and spaded. Each suit has 13…

Q: A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each…

A: Let p denotes the probability of coming each of 1, 3 and 5. It is given that P(2) = P(4) = P(6) =…

Q: A single card is drawn from a standard deck of playing cards. Let A be the event that an ace is…

A: There are total 52 cards in a standard deck. It contains 4 aces and 13 heart cards.

Q: Product codes in a manufacturing company having 2, 3, or 4 letters are equally likely. What is the…

A: There are two types of distributions, they are discrete and continuous distribution. If all the…

Q: Part 1 Directions: Using a spinner, conduct an experiment to compare experimental probability with…

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Q: A.z. Let A be a fixed positive constant, and define the function f(x) by f(a) - de if x>0 and f(x) =…

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Q: FORMULATE TWO (2) SITUATIONAL PROBLEM OF REAL LIFE PROBLEMS INVOLVING CONCEPTS OF SAMPLING…

A: Given five variables for which examples of information to be collected : A. Height B. Weight C.…

Q: 1. Suppose that two teams play a series of games that ends when one of them has won 2 games. Assume…

A: Answer 1

Q: Within the class, my classmates and I are given a fixed daily allowance by our parents. Curious, I…

A: Solution: Let X be the daily allowance. The data for X is 20, 50, 150, 50, 50, 50, 70, 50, 100, 30,…

Q: 30. The mean of Binomial distribution is 3 and the variance is MRI+ (i) the value of n (ii) p (x ≥…

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Q: A manufacturing company that produces laminate for countertops is interested in studying the…

A: Obtain the 99%prediction interval for the number of defects per countertop. The 99%prediction…

Q: Have you ever wondered about the likelihood of an event occurring? Whether it’s the odds of your…

A: We need to consider a situation for understanding of probability to make an informed decision.

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: Question-5 uniform A packaging line consistently packages cartons. After weighing every package…

A: Given,A random variable X~Uniform(18.2 , 20.4)f(x)=120.4-18.2f(x)=12.2       ;   18.2≤x≤20.4

Q: We measured the length of two sides X and Y of a rectangular plate several times under fixed…

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Q: A random point (X,Y) is distributed uniformly on the square with vertices (1,1), = on the square.…

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Q: Use the table below to find the standard deviation of the following data set: Use at least three…

A: Given data set is14,15,31,32,43,48

Q: 2.25 Suppose the pdf fx (x) of a random variable X is an even function. (fx (x) is an even function…

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Q: 17 cards are numbered 1 to 17. One card is taken at random. What is the probability that the number…

A: Followings are the Explanation of the question

Q: You roll 4 standard dice. Find the probability of rolling at least 2 fives.

A: Given Roll 4 standard dice

Q: Question 1: Poisson distribution ( Suppose that the number of accidents in a given highway during a…

A: Given,The average no.of accidents per month(λ)=4A random variable X~Poisson(λ=4)P(X=x)=e-44xx!   ;…

Q: A random point (X, Y) is distributed uniformly on the square with vertices (1,1), (1,-1), (-1, 1),…

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Q: Find the margin of error

A: The level of significance is 1-0.95=0.05.

Q: (a) Obtain the distribution function of X. (b) Find the probability density function of Y 1 X

A: f(x)=0; x&lt;0,12; 0≤x≤1,12x2; 1&lt;x&lt;∞ a) Distribution function of x is given as; F(x)=∫∞x f(x)…

Q: a) State with parameter(s) the probability distribution of Z. b) Find the mean and variance of Z. c)…

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Q: 1) If Var(X-Y) = 2, Var(X+Y) = 4, E(X) = 3 and E(Y) = 1, than what is E(XY)? 2) If X and Y are…

A: Solution is given below

Q: The probably not correct. states that if, under a given assumption, the probability of a particular…

A: As we know that according to given defination we can say that the rare rule in the inferential…

Q: Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assun bits are…

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Q: 3 Consider the following transition matrix: [00100 01 000001 P = 0000 1 0 000 000 0 100 0000 a Which…

A: a)  transient state define as: A state i is said to be a transient state if there exists a state j…

Q: Within the class, my classmates and I are given a fixed daily allowance by their parents. Curious, I…

A: The give data is,  student  daily allowance (in PHP) 1 20 2 50 3 150 4 50 5 50 6 50…

Q: Using the table below, find the following: Education Less than a HS diploma HS diploma or GED Some…

A: From the given information, Education Current Smoker Former Smoker Non-Smoker Total…

Q: A randomly selected card from a standard 52-card deck is noted. The card is then replaced, the deck…

A: It is known that Total number of cards in a deck = 52 Number of Aces = 4

Q: 14. In a sample space of 200 left handed batsmen (LHB) and 300 right handed batsmen (RHB), it is…

A: Binomial is the distribution which tends to be discrete. It has finite number of random variable. In…

Q: baseball player has a lifetime batting average of 0.313. If, in a season, this player has 385 "at…

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Q: Apple produces about 300 iPads every hour at their factory in Silicon Valley. On average, about 2.5…

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Q: Let A be a fixed positive constant, and define the function f(x) by f(x) - e-if x>0 and f(x) = de^…

A: Given    Let λ be a fixed positive constant and f(x) be given by               f(x)=12λe-λx       ;…

Q: The shelf life of a battery produced by one major company is known to be normally distributed, with…

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Q: If X~ Bin(66, 0.11), what is the expected value of (54X+29)? O a. = 7.26 O b. = 21170.16 O c. None…

A: GivenX~Bin(66,0.11)n=66p=0.11

Q: A test market study of the potential demand for the product is expected to report either a favorable…

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Q: An airline estimates that the probability is 0.05 that people making reservations on a certain…

A: Probability is the measure of chances. It takes the values between 0 to 1. It never takes negative…

Q: What is the value of Σ(X – 2 )2 for the following scores? Scores: 3,6,9.

A: The values of X are given by 3,6 and 9. We have to calculate Σ(X – 2 )2