Math Answers

Consider all samples of size 5 from this population:6 8 10 12 13

1. Compute the mean and variance of the population

2.list all samples of size 4 and compute the mean for each sample

3.construct the sampling distribution of the sample means

4.Calculate the mean of the sampling distribution of the sample means and compare this to the mean of the population

The recent global development of Russia invading Ukraine has led to USA and European countries imposing sanctions on Russia. Given that Russia is a major player in OPEC, discuss the implication of this in South African economy

sketch the normal curve and find the area in each of the following cases 

1. between z=-2.76 and z= -1.2

2. To the right of z=1.31

3. To the left of z=0.35

4.to the right of z= -0.95

When do we add the corresponding area of the z-score to 0.50?

A green urn contains three red balls and five black balls. A blue urn contains three red balls and seven black balls. A yellow urn contains two red balls and four black balls.

1. If an urn is selected at random and a ball is drawn, then the probability that it will be red is .
2. If a red ball is selected, then the probability that the green urn is selected is .
3. If the person drawing a ball from an urn favors choosing the yellow urn twice more than the green urn and thrice more than the blue urn, then the probability of drawing a red ball is .

Symbolize the following by using qualifiers, predicates and logical connectives.

1. All rational numbers are real numbers.
2. some rational numbers are integers.
3. some even numbers are multiplied of two four and five.
4. some triangles are scalene.
5. every integer is multiple of 10 if and only if it is a mulple of 5 and 2.

Prove that every non-trivial sub group of cyclic group has finite index. Hence prove that (Q,+) is not cyclic.

Between z=-1.46 and z=2.15

Task 4 make your own experiment and trial .choose your own random variable X and compute for its mean , variance and standard deviation