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Consider a population consisting of 1,2,3,4 and 5. Supposed samples of size 3 are drawn from this population.Find the sampling distribution of the sample means.

what is the lowest valeu of the sample mean in this sampling distribution



Find a unit vector perpendicular to the plane through P(2, 1, -1), Q(-1, 1, 2) and R (1, -1, 2)


Let u=(-5, -2, 4), v= (3, 6, -5) and w = (-7, 1, -8)

a) Calculate (u × v).w and hence find the volume of the parallelepiped with adjacent sides u, v, and w.

b) Show that vector (u - projwu) and w are orthogonal.

c) Use the cross product to find the angle between u and w.

Write Z = 4√(3) e(7π/4)i in algebraic form


A population consists of 4 number 3, 7, 11, 15 of sample size n=2 which can be drawn without replacement from the population.




a. Population mean



b. Population variance



c.population standard deviation



d. Mean of the sampling distribution of the sample means



e. Variance of the sampling distribution of the sample means



f. Standard deviation of the sampling distribution of the sample means




A population consists of the numbers 2, 4, 5, 9, and 10. A random sample of size 2 is


taken from the population.


1. Compute the number of samples using combination.


2. Complete the table on the right and compute the mean µ, variance


σ2 and standard deviation σ of the population.


3. Complete the table on the right and compute


the mean μx̄, variance σx̄2


, and standard


deviation σx̄ of the sampling distribution of


sample means.

A population of size N=150 has u=8 and standard deviation of o=5.4. What is the probability that a random sample of size n=20 will have a mean of 9.5 above.

a meeting of envoys was attended by 4 americans and 5 filipinos. If 6 envoys were selected at random one after the other, determine the values of the random variable F representing the number of filipinos


three balls are drawn in succession without replacement from a jar containing 8 white balls and 5 black balls. Let B be the random variable representing number of black balls


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