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
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