The mean and variance of a binomial variate are 4 and 3 find P[X ≥ 1]. respectively,

Q: . A sample of 60 women found that they run an average a  of 5km a week with a variance of 64.…

A: Given Data : For Sample 1 x̄1 = 5 s1 = 8 n1 = 60 For Sample 2 x̄2 = 3 s2…

Q: In simple regression, the percentage of variance in Y that can be explained by X is identified by

A: We know that, in any regression model, we need to measure the model accuracy i.e. we need to check…

Q: An instructor wishes to see whether the variation in scores of the 23 students in his class is equal…

A: 1] s2=1982] σ2=2253] n=234] level of significance α=0.05

Q: Consider the variable X whose mean and variance are given respectively by Hx = 27.2 and Var(X) =8.…

A: GivenμX=27.2Var(X)=8

Q: The average exam score is 66 with a variance of 20.  Your exam has a Z score of 0.12. What is your…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: Which statistic combines a measure of centrality with a measure of dispersion ) The coefficient of…

A: The measure of central tendency provides a measure about the center of the set of the observations.

Q: Calculate L = E(Ä|X1) and find its variance. Is the variance of L smaller than the variance of Ä? Is…

A:

Q: If X is a normal variate with mean 5 and variance 4. Find P ( -1.5 < X < 2)?

A: Given,mean(μ)=5standard deviation(σ)=2

Q: Suppose the variance of X is 95. What is the variance of .09X?

A: The objective of this question is to find the variance of a variable that has been scaled by a…

Q: The researcher found that the model’s effect size was very large where R = .957. Furthermore, R2 =…

A:

Q: A sample with a mean of M = 40 and a variance of s2 = 20 has an estimated standard error of 1 point.…

A: Mean = 40 Variance = 20 Standard error = 1

Q: A sample with a mean of M = 40 and a variance of s2 = 20 has an estimated standard error of 1 point.…

A: The provided data is, M = 40 s2 = 20 Standard error, SE = 1

Q: A sample of n = 9 scores has SS = 72. The variance for this sample is s2 = 9. O True O False

A: Given information- Sample size n = 9 Sum of squares,SS = 72 We have given that the variance for this…

Q: Given that the variances of random variables X and Y are 400 and 900, respectively. The correlation…

A: Basic

Q: The average exam score is 63 with a variance of 33.  Your exam has a Z score of 0.96. What is your…

A:

Q: Suppose x values are: 0, 1, 2, 3, p(x) = 0.46, 0.28, 0.14, 0.12 and u= 0.92 Compute the variance for…

A: The mean is 0.92.

Q: For a binomial variable X if n = 21 and p = 0.5. Find the variance?

A:

Q: The systolic blood pressure of individuals is thought to be related to both age and weight. Let the…

A: Given:

Q: Suppose it is desired to estimate the variance of the tensile strength of a particular type of…

A: Given: The sample pieces of a particular type of thread is n=21. The provided calculation is given…

Q: company has found that its profits Y are related to its sales X by the formula   Y = 0.2X + 100. If…

A: The profits of y is, Y=0.2X+100. The next year’s sales have a Normal distribution with a mean of…

Q: A variance function Var (Y IX = Xx) tells us: about the variability of Y at different values of X. O…

A: Y | X = x means the value of value given X = xConditional Probability is the probability of Y at…

Q: The probability that a Poisson variate x takes a positive value is (1 – e 1.5). Find the variance…

A: Given that  Let X denotes the discrete positive values 0,1,2...  Then X follows Poisson distribution…

Q: 2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)

A: Given The probability distributoin function The mean is calculated as shown below Here the…

Q: Suppose the mean and variance of variable X are given respectively by μ = 36.2 and Var(X) =4.2. =…

A: From the provided information, μ = 36.2 and Var (X) = 4.2

Q: Stock Prices A random sample of stock prices per share (in dollars) is shown. Find the 80%…

A: 7.50,75.37,12.00,28.37,13.88,26.69,14.75,46.12,10.87,40.25,60.50,28.00,28.25,6.94,45.12sample…

Q: The weight of cereal boxes (y) follows a normal distributed with a variance of 0.1 squared ounces.…

A: We have given  Var(sigma^2)=0.1 X~N(mu, sigma^2) Z-score = ( x- mu)/sigma

Q: The mean and variance of a binomial variate X are 4 and 4/3 respectively. Find P(X ≥ 3)

A:

Q: The sample correlation coefficient is equal to the covariance of x and y divided by the square root…

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

Q: Suppose the mean and variance of variable X are given respectively by μ = 30.9 and Var(X) =4.4. What…

A:

Q: Data for Questions 9 and 10 The following data is used to construct a regression model: 4 7 4 2 10…

A: We have given that  X 4 7 3 4 2 10 Y 15 23 9 29 3 39 We have to variance of regression…

Q: If covariance between X and Y variables is 10 and the variances of X and Y are respectively 16 and…

A: The objective is to find correlation coefficient

Q: You are conducting a study to see if students do better when they study all at once or in intervals.…

A: 1. Computing the values of the test statistics: The null and alternative hypotheses are: It is…