Question

In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that P(N) = 33%, where N denotes a response of "never." What does P(Nc) represent, and what is its value?

Answer 1

1) P(Nc) represents the probability that those who took part in the survey travelled on commercial flights.

2) The value of P(Nc) is 67%

• We are told that;

P(N) = 33% = 0.33

N represents a response of never.

Nc means complement of N. That is remaining part of the universal set not contained in N.

• From the law of complements in sets, we know that complement of a set A is;

P(A') = 1 - P(A)

• Thus, applying this rule to our question, we have;

P(N') = 1 - 0.33

P(N') = 0.67

P(N') = 67%

• This means that 67% of the adults in the survey have travelled on commercial flights

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