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Consider a population consisting of 2,6,8,0 and 1. Suppose samples of size 2 are drawn from this population. Find the Mean and Variance of the sampling distribution of sample means.

A population has mean 73.5 and standard deviation 2.5. Find the mean and standard deviation of X ̅ for samples of size 30.


The slope of f(x)=x3−12x2+36x−48 is zero at which value/s of x?


If Johnny had 20 complete living room outfits, disregard color scheme, how many different sets of five complete outfits could be arranged?  


Compute each of the double double sums below

(a)3∑(i=1) 2∑(j=2) (i+j)

(b)3∑(i=0) 2∑(j=0) (2i+3j)


What is the slope of y=2x3 +3x2−3x−2 at x=1?



The slope of the curve y=3x2−5 at point (−1,−2) is


The Test score for a class are normally distributed . what is the the probability a student scored above 90. Given: µ = 75

Ơ = 10

The Test score for a class are normally distributed . what is the the probability a student scored above 90


A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.


x 10 12 24 20 13 13 8 22

y 80 83 94 90 85 84 80 89


Compute the Pearson’s r. Interpret the results.


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