Assume a population of 40​, 45​, 47​, and 53. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts ​(a​) through ​(c​).
40,40 40,45 40,47 40,53 45,40 45,45 45,47 45,53
47,40 47,45 47,47 47,53 53,40 53,45 53,47 53,53

a. Find the median of each of the sixteen​ samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians.

Respuesta :

The median of each of the sixteensamples, the sampling distribution of the medians are shown in the table.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have data:

40,40 40,45 40,47 40,53 45,40 45,45 45,47 45,53

47,40 47,45 47,47 47,53 53,40 53,45 53,47 53,53

We can find the sample mean, median, and probability:

sample median   probability   sample median      probability

40                                1/16                         46.5                          2/16

42.5                         2/16                        47                          1/16

43.5                                2/16                       49                          2/16

45                                1/16                          50                             2/16

46                              2/16                         53                             1/16

Thus, the median of each of the sixteensamples, the sampling distribution of the medians are shown in the table.

Learn more about the probability here:

brainly.com/question/11234923

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