Find variance of Y1

Q: Determine the variance of Z.

A: Helpful formulas (i)VaX=a2VX(ii)VC=0,where c is the constant(iii)VaX+ bY=a2VX+ b2VY

Q: find out the mean profits:

A: We have to calculate the mean for given grouped frequency distribution of profits per shop.

Q: Compute the variance of the number of rainy days in this month (a month=30 days).

A: Let p be the probability that it rains on any day. Given that p = 2/3 Let X denote the number of…

Q: If the coefficient of variation of the data = 40 % , the variance = 100 , then the mean of these…

A: We have given that,  Variance (s^2) = 100 Standard deviation (s) = sqrt(variance)…

Q: Two dice are rolled. [A die has six sides, each representing the score from 1 to 6] What is the…

A: We have given that the two dice are rolled. The total possible outcome of rolling two dice are 36.

Q: The first three moments of a distribution about the value 2 are 1, 16 and-40 show that the mean is…

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Q: Suppose it is believed that the probability a patient will recover from a disease following…

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Q: Find the mean and variance of the numbers generated by rolling two die and counting the sum of the…

A: We have given that the two dice are rolled. Total number of possible outcomes = 36 The sample space…

Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…

A: Given,n=20p=0.65A random variable X~Binomial(n=20 , p=0.65)P(X=x)=20x0.65x0.3520-x  ;…

Q: Find the variance of X

A: We first have to find the value of a. We know that the total probability is 1. So,…

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: It is an important part of statistics . It is widely used .

Q: Suppose it is believed that the probability a patient will recover from a disease following…

A: Here we need to find the mean and variance of the given binomial distribution.

Q: Find the mean and variance of S2(attached)

A: Expectation of S2:The expectation of S2 is obtained as follows:

Q: There are two risky shares, where you have calculated the means, and the correlation coefficient of…

A: There are two risky shares, where you have calculated the means, and the correlation coefficient of…

Q: Compute the mean of X Variance of X Standard deviation of X

A: The mean of X, E(X) is the first derivative of MGF with respect to t at t = 0 And E(X2) is the…

Q: The mean of Binomial distribution is 3 and variance is-. Find P(1 s x < 6)

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Q: If X ~B(190,0.34), find mean and variance of x. (Rounded in 3dp.)

A: X ~B(190,0.34) Given a Binomial Distribution X ~B(n,p) Here, n = 190 , p = 0.34

Q: When conducting a t-test for independent samples we have 2 ways of computing the variance. One way…

A: Let X and Y are two different samples. The sample size of X data is n1 with sample mean (x̄) and the…

Q: If x is normal with mean and variance, find

A: Given Data: X is random variable   X~ Normal (μ, σ2)

Q: The number of passengers on a bus follows a negative binomial distribution with parameters r = 2 and…

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Q: In a fish restaurant, population variance for fish to go bad is at least 4 days. After buying a new…

A: Introduction: The 100 (1 – α) % confidence interval for the population variance, σ2, is the…

Q: | variance of X

A:

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: How to find the weighted mean of three models

A: The weighted mean is given by the following formula

Q: Each value in a sample has been transformed by multiplying by 3 and then adding 10. If the original…

A: Given information: The variance of the original sample is 4. Each value in a sample has been…

Q: The range of the random variable X is {30, 1, 2, 3, a} , where a is unknown. If each value is…

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Q: Two students sit for a university final exam whose scores are known to be normally distributed. The…

A: If raw scores are given by X= 63, Y= 93 Then z score for x is given by, Z= (X- mu)/sigma Where mu is…

Q: THE VALUE OF THE VARIANCE IS ALWAYS NOT POSITIVE. TRUE ERROR

A: The variance is square of standard deviation

Q: The variance is sometimes a negative number.

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Q: The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city…

A: Solution:  Given information: μ= 1000  Population mean σ2= 1200  Population varaince tax = 10%

Q: Solve for the coefficient of correlation

A: The given variables are sales revenue and product price.

Q: Suppose bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?

A: For a fair coin the probability of getting head= 0.5X=number of headsn=sample size=100p=probability…

Q: If the variances of two random variables are 23 and 18, find the minimum and maximum possible values…

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Q: Discuss the co efficient of variation also writedown why we use coefficient of variance

A: Coefficient of variation is a measure of dispersion. It indicates how data values vary from the…

Q: Derive the variance for the geometric.

A: Note: according to Bartleby an expert can solve only one question and maximum 3 subpart of the first…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

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Q: Let X and Y be independent random variables. Suppose X has variance 2 and let Y have variance 5.…

A: Given Data: Var(X)=2 Var(Y)=5

Q: kindly help me with this problem  Distinguish Mean from Variance

A: Here we have to distinguish the mean from variance

Q: jects obtained by one of the students was wrongly taken as 7 instead of 9. Find the correct…

A: Here use formula of rank correlation coefficient

Q: The number of passengers on a bus follows a negative binomial distribution with parameters r = 2 and…

A: From the given information, The number of passengers on a bus follows a negative binomial…

Q: The mean of Binomial distribution is 3 and variance is. Find P(1 < x < 6)

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Q: The probability Pete will catch fish when he goes fishing is 0.6. Pete is going fishing 4 days next…

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Q: Solve for y and find the mean and variance of X.

A: here use total probability law and basic of expectation(mean) and variance

Q: Find the variance of x or the number of cups of coffee.

A: Given Information:

Q: The value of the variance is always not positive. true Error

A: True  Followings are the Explanation of the Question  1) Variance is the Squared deviation from the…

Q: to obtain 3 Heads and 7 Tails. Calculate MEAN and VARIANCE.

A: Here given that coin Is tossed 10 times And head and tail are outcomes of coin tossing

Q: If the mean of grades in statistics = 65 and the variance : 400 , then the Z score of grade 50 =

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Q: find the average profit per automobile and the variance

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Q: If X has a mean μ and variance σ and Y = aX+b where a and b are constants: Find the mean, variance,…

A: Given, Mean, E(X)= mu Variance = E(X2)- (E(X))2 = sigma From this equation we can calculate the…