Determine the mean and the standard deviation

Reference no: EM13975600

Given the following probability distribution for an infinite population with the discrete random variable, x:

x	0	1	2	3
P(x)	0.2	0.1	0.3	0.4

a. Determine the mean and the standard deviation of x.

b. For the sample size n 5 2, determine the mean for each possible simple random sample from this population.

c. For each simple random sample identified in part (b), what is the probability that this particular sample will be selected?

d. Combining the results of parts (b) and (c), describe the sampling distribution of the mean.

Reference no: EM13975600

Questions Cloud

Provide support for your explanation : Explain why government regulation is or is not needed, citing the major reasons for government involvement in a market economy. Provide support for your explanation.

How can it directly be connected to history : Provide 3 specific passages that struck you as significant-or interesting, profound, amusing, illuminating, disturbing, sad...?

What is the spacing between the slits : The figure below shows the light intensity on a screen 2.7m behind a double slit. The wavelength of the lightis 519 nm . What is the spacing between the slits?

Determine how the same focus on quality demonstrated : Determine how the same focus on quality demonstrated by the Barcelona Restaurant Group could benefit manufacturing operations. Provide specific examples to support your response.

Determine the mean and the standard deviation : a. Determine the mean and the standard deviation of x. b. For the sample size n 5 2, determine the mean for each possible simple random sample from this population. c. For each simple random sample identified in part (b), what is the probability that..

Find the magnitude of the electric field at point p : The figure above shows a hollow disc of inner radius R and outer radius R'=3.0R. Point P lies on the central z-axis,at distance D=2.0R from the center of the disc. The disc has a charge a +Q uniform;y distributed on its surface. Find the magnitude..

Determining the campaign manager claim : If the campaign manager's claim is correct, what is the probability that the sample proportion would be no more than 0.49 for a sample of this size? Based on your answer to part (a), speculate on whether the campaign manager's claim might be mistak..

What quantity of gold will trade on a daily basis : Recently, the price of gold has been $380 per ounce, inflation 0.2%, dollar trading at 99.7 on index, silver is $4.75 per ounce. What quantity of gold will trade on a daily basis?

What is the average electric field magnitude : Assume that -4 V is the minimum potential and +4 V is the maximum for any point within the diagram. The table gives distances to neighboring equipotential for points on a line. To one decimal place, what is the average electric field magnitude in V..

User Account

All Pages