Answer:
a) 7% or 0.07
b) 42% or 0.42
Explanation:
Let's begin by listing out the given information:
Population = 902,
Probability distribution
Strongly support = 0.16 or 16%,
Somewhat support = 0.26 or 26%,
Mixed feelings = ?,
Somewhat oppose = 0.14 or 14%,
Strongly oppose = 0.36 or 36%
Don't know = 0.01 or 1%
a) The summation of every probability of an event (survey) is 100% ⇒ Pr (survey) = 100%
Pr (survey) = Pr [strongly support + somewhat support + mixed feelings + somewhat oppose + strongly oppose + don't know]
100 = 16 + 26 + x + 14 + 36 + 1
To obtain the probability of the 'Mixed feelings' populace, we subtract the summation of all other probabilities from 1 or 100%
x = 100 - (16 + 26 + 14 +36 + 1) = 100 - 93
x = <u>7%</u> or <u>0.07</u>
∴ the probability of the 'Mixed feelings' populace is 7% or 0.07
b) Probability of a random adult supporting is given by the summation of the probabilities of the adults who strongly support & those who somewhat support
Pr (support) = Pr (strongly support) + Pr (somewhat support)
Pr (support) = 0.16 + 0.26
Pr (support) = <u>0.42</u> or <u>42%</u>
∴ the probability that a randomly chosen adult supports the casino in Toronto is 42%
