Question

In a certain town, 45% of the voters support a school

referendum up for a vote. sharon will ask people about
why they support the referendum, but she needs to find
people who support it
what is the probability that it takes 7 people to find the
first person who supports the referendum?
o 0.0126
o 0.0277
o 0.0872
o 0.4500

Answer 1

(a) 0.0126

Explanation:

You want the probability of asking 6 nonsupporters before asking the first supporter of the referendum, if 45% of voters are supporters.

P(7th is supporter)

The probability that Sharon will ask 6 nonsupporters before she asks a supporter of the referendum is ...

P(7th is 1st) = (1 -0.45)^6 × (0.45) = 0.55^6 × 0.45

P(7th is 1st) ≈ 0.0125 . . . . . . best matches choice A

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