Two dice are rolled. [A die has six sides, each representing the score from 1 to 6] What is the variance of value of the SUM of the obtained scores?

Q: Probabilities of values of X-[10 21 24 27 30], a random discrete variable, are [0.16 0.09 0.13…

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Q: If X is distributed as N(0,2), and Y = 3 + 2X. (a) What is the mean of Y? (b) What is the variance…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: The probability that a sample variance of size 11 taken randomly from a normally distributed…

A: Variance = 2× df ∵ chi-square distributionGiven data,Sample size  n = 11 degree of freedom , df =…

Q: In testing the lethal concentration of a chemical found in polluted water, it is found that a…

A: a)

Q: Consider the probability distribution. ________________________________________          x:      0…

A: The following probability distribution is given:   x:              0         1         2         3…

Q: An office has four copying machines, and the random variable X measures how many of them are in use…

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Q: 10. From historical data, the Probabilities of 0, 1, 2, 3, 4, or 5 calls in a 5 minute- period are…

A: Given: X: No. of calls arriving in 5-min period X P(x) 0 0.1 1 0.15 2 0.25 3 0.2 4…

Q: The random variable, X, representing the number of cherries in a cherry cake, has the following…

A: The random variable x denotes the number of cherries in a cherry cake.

Q: 3. Find the mean and variance of the random variable using the values in the table below. f(x) 0.25…

A: For the given data Find Mean =? variance =?

Q: Two random samples were drawn from two normal populations and their values are : A : 66 67 75 76 82…

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Q: No. of accidents, x 2 3 4 Probability P(x) 0.35 0.25 0.20 0.1 0.1

A: Ans;   Given table         No. of accidents, x 0 1 2 3 4 Probability P(x) 0.35 0.25 0.20 0.10…

Q: Suppose X∼N(9,1.5), and x=13.5. Find and interpret the z-score of the standardized normal random…

A: Given: X~N(9, 1.5) x = 13.5 Formula Used: Z-score = x-μσ

Q: The expected value of a random variable X that is denoted by u is called its: a. variance. O b.…

A: According to the given information, we haveRandom variable 'X' is given.

Q: The data in table below represent the number of hours of pain relief provided by 5 different brands…

A: hypothesis  null hypothesis : there is no significance difference between mean number of hours of…

Q: If R is a random variable on a sample space S and expected value E(R) = µ, then the variance V(R) =…

A: We have given that a random variable R on a sample space S and expected value E(R)=mu.

Q: Two random samples were drawn from two normal populations and their values are : A: 66 B : Test…

A: Given : At 5% level for v1=10 and v2=8  F0.05=3.36 The null and alternate hypotheses are : Ho:…

Q: A researcher studying public opinion of proposed Social Security changes obtains a simple random…

A: Given that n =30 and p=0.20.

Q: A researcher studying public opinion of proposed Social Security changes obtains a simple random…

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Q: The Variance of the Binomial distribution is... O a.u O b. npq O d. None of these. O e.A

A: The Variance of the Binomial distribution is =npq

Q: A sample of 60 items from population 1 has a sample variance of 8 while a sample of 40 items from…

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Q: 1. The random variable X, representing the number of defective missiles when 3 missiles are fired,…

A: Introduction: The random variable X represents the number of defective missiles on firing 3…

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: Two random samples were drawn from two normal populations and their values are : A : 66 67 75 76 82…

A:

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

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Q: Which of the following better approximates the variance of the sample means? b. 4. VN-n N-1 a. 4 vn

A: Varince is the measure of dispersion. It used to understand the variance of each observation from…

Q: Suppose X∼N(16.5,2), and x=18.5. Find and interpret the z-score of the standardized normal random…

A: X∼N(16.5,2) X=18.5 PZ&gt;18.5-16.52 P(Z&gt;1) = 0.1587

Q: A discrete random variable X has variance 3. Which of the following is the variance of 3X - 2? 25 3…

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Q: The total number of cars to be sold next week is described by the following probability distribution…

A: Given,V(X)=0.88Y=4-2X

Q: For a simple random sample, is: A. Standardized to have mean 0 and variance 1 always B. Normally…

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Q: Consider the two densities shown in the figure below. What is the value of μX and what is the value…

A: It can be observed that both the distributions of  X and Y are bell shaped and symmetric.

Q: The table below shows the probability distribution of a random variable Y. Y P(Y) 11 0.7 12 0.1 13…

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Q: A population of N = 200 scores has u = 10 and o = 3. What is the population variance? 100 1

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

Q: Which of the following better approximates the variance of the sample means? a. 4 b. 2. VN-n Vn N-1

A: here given, σ = population standard deviation  N= population size  n= sample size

Q: Compute the variance of random variable, Y. Y 1 P(Y) 0.25 0.5 0.25 Select one: a. 0.34 O b.0.5 C.…

A: Given: Probability distribution of Y. The variance of random variable Y is obtained as below:…

Q: Let X, Y, and Z have means 1,2 and 3, respectively, and variances 4,5, and 9 respectively. X, Y and…

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Q: The random variable ?, which is the number of telephones coming to a telephone exchange in a…

A: Part (a) Let X be a random variable denotes the number of telephone calls coming to a telephone…

Q: For a given random variable X, the relationship between the variance and the moments is given by Ox…

A: The mean is the measure of central tendency for continouus data the average is denoted as expected…

Q: A study wants to investigate whether the population variance is greater than 8. If a random sample…

A: Given : n = 40 s2 = 10 Hypothesis : H0 : σ2 ≤ 8 H1 : σ2 &gt; 8

Q: A random sample of size n = 25 is drawn from a normal population with a variance of 16, what is the…

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Q: We have provided a normal probability plot of data from a sample of a population. In each case,…

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Q: The service times for customers coming through a checkout counter in a retail store are independent…

A: Given that μ=1.5,σ2=1.0, n=100 P1.5-y0≤Y¯≤1.5+y0=0.95

Q: A plant pathologist wants to compare two strains of bacteria in terms of its reproduction rate. Test…

A: Here we have to test a plant pathologist wants to compare two strains of bacteria in terms of its…

Q: Give the percent of scores between the mean and the z-value of normally distributed random variable.…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: The variance of a random variable (X+ a) is equal to the variance of the random variable X itself

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Q: Let X be a random variable with the following probability |-6 3 9 distribution: 1 f(x) 4 1 1 2 4…

A: Given X is random variable with the probability distribution: x -6 3 9 f(x) 14 12 14 and…

Q: Let μ and σ2 denote the mean and variance of a random variable X. Determine: (a) E[(X −μ)/σ] (b)…

A: Let μ and σ 2 denote the mean and variance of a random variable X

Q: Let X1, X2, X3… X20 be a random sample from a distribution with mean 8 and variance 5. Find the mean…

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Q: therefore, it means that the average number The mean is equal to of cellular phones of sold per day…

A: Probability is a common term everyone use in their day-to-day life. For example, probably an 80%…

Q: D find the Maximum liklihood statistic for 2 Lind the Variance of Ô

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.