# Question: Suppose that a poll is being conducted in the village

Suppose that a poll is being conducted in the village of Lemont. The pollster identiﬁes her target population as all residents of Lemont 18 years old or older. This population has 6494 people.

(a) Compute the probability that the ﬁrst resident selected to participate in the poll is Roger Cummings and the second is Rick Whittingham.

(b) The probability that any particular resident of Lemont is the ﬁrst person picked is 1/6494. Compute the probability that Roger is selected ﬁrst and Rick is selected second,

assuming independence. Compare your results to part (a).

Conclude that, when small samples are taken from large populations without replacement, the assumption of independence does not signiﬁcantly affect the probability.

(a) Compute the probability that the ﬁrst resident selected to participate in the poll is Roger Cummings and the second is Rick Whittingham.

(b) The probability that any particular resident of Lemont is the ﬁrst person picked is 1/6494. Compute the probability that Roger is selected ﬁrst and Rick is selected second,

assuming independence. Compare your results to part (a).

Conclude that, when small samples are taken from large populations without replacement, the assumption of independence does not signiﬁcantly affect the probability.

## Relevant Questions

Refer to the contingency table in Problem 17 that relates age and likelihood to buy American. Determine P(45-54 years old) and P(45-54 years old|more likely). Are the events “45-54 years old” and “more likely” ...Find the value of permutation. 6P2 Find the value of permutation. 9P4 Find the value of combination. 30C4 How many user names are possible in Problem 41 if the last character must be a digit?Post your question