I want to know how I can find the Probability, please. Thanks. Three randomly se

Question

I want to know how I can find the Probability, please.

Thanks.

Three randomly selected households are surveyed. The numbers of people in the households are 2,4, and 9. Assume that samples of size n 2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median Probability 5.5 6.5 Type integers or fractions. Use ascending order of the sample medians.)

Explanation / Answer

here as each of 9 sample has equal probability therefore each sample has probability =1/9

hence below is table of median for each sample corresponding to its probability

summarizing above below is final probability table with addiing probability of same value of median:

please revert for any clarification required

sample sample median probability 2,2 2.00 1/9 2,4 3.00 1/9 2,9 5.50 1/9 4,2 3.00 1/9 4,4 4.00 1/9 4,9 6.50 1/9 9,2 5.50 1/9 9,4 6.50 1/9 9,9 9.00 1/9

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