If X is random variable, show that Var (aX + b) = a² Var (X)

Q: Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is…

A: Given:  100 people all toss a hat into a box and then proceed to randomly pick out a hat.  It is…

Q: 4. In an organization consisting of 5 women and 10 men, a committee of four individuals is to be…

A: The distribution of the random variable X is    X = Number of women on the committee = x…

Q: A study was conducted to determine whether there were significant differences between medical…

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Q: In 1985, neither Florida nor Georgia had laws banning open alcohol containers in vehicle passenger…

A: (i) Consider FL be a dummy or binary variable which is equal to one if a person lives in Florida,…

Q: A_____ is one that may take on only accountable number of distinct values such as 0 1 2 3 4 etc.…

A: The discrete random variable takes values in integer only. For example : Number of people in class.…

Q: A salesperson finds that, in the long run, two out of three sales calls are successful. Twelve sales…

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Q: If 40% of all commuters ride to wirk in carpools, find the probability that if 8 workers are…

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

Q: Two restaurants compete against one another for a pool of 10,000 local potential patrons. Assuming…

A: Given: The number of local potential patrons is n=10,000. Since the two restaurants are independent,…

Q: The Manufacturer of a fertilizer guarantees that with the aid of the fertilizer 80% of the planted…

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Q: Machines A and B produce 10% and 90% respectively of the production of a component intended for the…

A: Let us define some events A : product is produced by machine A  B : product is produced by machine…

Q: Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is…

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Q: A random variable X can takes values 1,2,3 or 4 with probabilities 0.6,0.2,0.15 and 0.05…

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Q: When doing blood testing for a viral infection, the procedure can be made more efficient and less…

A: In this case, it is assumed that the probability of an individual blood sample testing positive for…

Q: Suppose the random variable X is unifo Compute answers to two decimal places.

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: It is an exponential distributed random variable with an average of 45 minutes to repair a machine.…

A: Given Data: Let X represent the repair time of a machine X~ Exponential (1/45)  2 hours=120 minutes…

Q: Suppose that that you select three coins without replacement from a bag containing five milk…

A: GivenNo.of milk chocolate coins = 5No.of white chocolate coins = 4Let "W" be the random variable…

Q: here are two random variables, X and Y. X equals vith probability 50% and X equals 2 with…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: If one of these individuals is selected at random, the probability that the person is a heavy smoker…

A: Given:   Non Smoker Moderate smokers Heavy smoker Total Hypertensive 21 36 30 87 Not…

Q: From a population of 3 million residents, 12 jurors are randomly selected. Suppose that 30% of the…

A: X=random variable denotes the population which belongs to hispanics

Q: Two fair dice are rolled at the same time. If a random variable X denotes the sum of the numbers in…

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Q: When X is a binomial random variable, then the probability X ≤ r successes can be found using the…

A: Given  X is a binomial random variable Number of trials=n=167 Probability of success=p=0.051

Q: If two random variables X and Y are independent. Then Var(X + Y) could be smaller than Var(X) or…

A: It is given that the random variables X and Y are independent.

Q: When X is a binomial random variable, then the probability X ≤ r successes can be found using the…

A: Given  X is a binomial random variable n=No. of trials=125 p=Probability of success=0.016

Q: coin is flipped three times. Y is a random variable that assigns 3 times the number of heads flipped…

A: We want to find numbers is assigned to HHT

Q: Suppose that that you select three coins without replacement from a bag containing five milk…

A: Given Data: The total number of milk chocolate coins is: M=5 The total number of white chocolate…

Q: Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras Is…

A: It is given that the box has total 8 camera out of which 3 are defective. A sample of 2 camera is to…

Q: If x" bin(n1,p) and x2~bin(n2,p) then find the distribution of x1|x1+x2 ; where x1 and x2 are…

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Q: The probability of a randomly selected shark attacking during a year is 0.0612. If a family of a…

A: Answer: Given that: p= 0.0612 , n= 3 now will use Binomial probability…

Q: What is the probability that he will be selected in one of the firms?

A: Here use given information and draw venn diagram

Q: Construct a random variable X such that its first 2n moments exit and rest of moments don’t exit.

A: Generally, the x be the random variables having the particular density function is as follows,…

Q: Formulate 2 examples of each kind of random variable: DISCRETE and CONTINUOUS.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: If X, and X, are two independent random variables, then Px, + x, (@) = Øx, (@) Øx, (@) %3D

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Q: Engineering company has a task of checking compressive strength for 100 concrete cubes. The results…

A: Given that: Total number of concrete cubes = 100 Out of 100 concrete cubes, 85 cubes passed the…

Q: If X1 and X2 are independent random variables hav-ing binomial distributions with the parameters θ…

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Q: fair coin is tossed twice. 4 points for heads in both shots, 2 points are earned if one heads one…

A: Given: Number of tosses = 2 Below is the table describing the points earned  Events Points earned…

Q: When X is a binomial random variable, then the probability X ≤ r successes can be found using the…

A: Introduction: We need to find the probability, P (X ≥ 2) for the binomial random variable X…

Q: Suppose that a laboratory test on a blood sample yields one of two results, positive or negative. It…

A: P(D) = probability of disease= 0.01 P(not disease) = probability of not disease= 0.99…

Q: for a box containing 2 green balls and 3 blue balls are drawn in succession. Each ball is placed in…

A: The possible outcomes are as follow.

Q: Assume that hybridization experiments are conducted with peas having the property that for​…

A: According to the provided data, the probability that a pea has green pods, p is 0.75. The sample…

Q: I have 3 chickens where each of these chickens lays an egg with the probability 3/4 (independently).…

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Q: In a club consisting of 8 males and 4 females, 5 members will be selected to represent the club in a…

A: Given There are 8 males and 4 females. Out of which 5 members will be selected. F represents the…

Q: A specific apple disease cannot be detected without dividing the apple. In a particular apple batch…

A: From the provided information, Probability that a random selected apple is infected is set to 0.15…

Q: is rolled repeatedly until a 6 falls uppermost. Let the random variable X denote the number of times…

A: A game of rolling a die will stop only when the a player will get 6 .  The game can stop in 1 throw…

Q: When doing blood testing for a viral infection, the procedure can be made more efficient and less…

A: Given information- We have given the probability of an individual blood sample testing positive for…

Q: Determine if the random variables X and Y are statistically independent or not. NO NEED SOLUTIONS

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Q: A bottled water company has found in the past that 2% of their bottled water does not meet the…

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Q: Give 7 other examples of random variables.

A: A random variable is a set of possible values from a random experiment.

Q: A recent study shows that babies who weigh less than 5.5 pounds at birth are 40% more likely to…

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Q: hree balls are selected simultaneously and randomly from a box. But assume that the box contains 8…

A: From the given information, Consider, X be the random variable that denotes the net pay off for a…