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A population consists of three housing units, where the number of rooms in each unit is 2, 2 and 4, respectively. Represent the population distribution

A population consists of three housing units, where the number of rooms in each unit is 2, 2 and 4, respectively.

  1. Represent the population distribution of the number of rooms in a histogram.
  2. Find the mean and standard deviation of the population distribution.

A random sample with replacement of 2 housing units is picked from the population.

  1. Represent the sampling distribution of sample mean in a histogram.

  1. Find the mean of the sampling distribution of sample mean and compare it with the mean of the population distribution.

Now, a random sample without replacement of 2 housing units is picked from the population.

  1. Represent the sampling distribution of sample median in a histogram.

  1. Represent the sampling distribution of sample standard deviation in a histogram.

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