# Question: Given the following probability distribution for an infinite population with

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

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

b. For the sample size n = 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.

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

b. For the sample size n = 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.

**View Solution:**## Answer to relevant Questions

In 2009, the average fee paid by H&R Block tax preparation customers was $187. Assume that the standard deviation of fees was $60 but that we have no idea regarding the shape of the population distribution. a. What ...The manufacturer of a travel alarm clock claims that, on the average, its clocks deviate from perfect time by 30 seconds per month, with a standard deviation of 10 seconds. Engineers from a consumer magazine purchase 40 of ...A lighting vendor has described its incandescent bulbs as having normally distributed lifetimes with a mean of 2000 hours and a standard deviation of 100 hours. The vendor is faced with an especially demanding industrial ...A consultant conducts a pilot study to estimate a population standard deviation, then determines how large a simple random sample will be necessary to have a given level of confidence that the difference between x-bar and μ ...It has been estimated that the average dinner check at Morton’s, the world’s largest chain of upscale steakhouses, is $97 per person. Such a finding could have been based on data like the 800 sample checks in file ...Post your question