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One semester I had a small statistics class of 10 students. I asked them to disc

ID: 3323586 • Letter: O

Question

One semester I had a small statistics class of 10 students. I asked them to disclose the number of people living in their households and obtained the following data: 2,4,6,6,4,4,2,3,5,5 Assume that the random variable X represents the number of people in the household.

a. Construct the following table by population information from the given data set. X Frequency, ƒ

b. Construct a discrete probability distribution table for the above table.

c. Find the mean.

d. Find the Variance.

e. Find the standard deviation.

f. Find the expected value.

Explanation / Answer

a)

b) dividing each frequency by total frequency 10;  discrete probability distribution table:

c)

c) mean =4.10

d) variance =1.89

e)std deviation =1.3748

f) expected value =mean =4.10

x f 2 2 3 1 4 3 5 2 6 2