Question

the frequency distribution to the right shows the number of voters (in millions) according to age. consider the event below. can it be considered unusual? a voter chosen at random is between 21 and 24 years old choose the correct answer below. a. no. the probability of the event is not close to 0. b. yes. the probability of the event is close to 1. c. yes. the probability of the event is close to 0. d. no. the probability of the event is not close to 1.

Explanation:

Step1: Calculate total number of voters

Add up all the frequencies: \(9.2 + 10.9+22.5 + 27.7+19.5 + 52.8=\sum f=142.6\) (in millions)

Step2: Calculate probability of the event

The frequency for the \(21 - 24\) age - group is \(f = 10.9\). The probability \(P\) of an event is given by \(P=\frac{f}{\sum f}\). So \(P=\frac{10.9}{142.6}\approx0.076\)

An event is considered unusual if its probability is close to \(0\) (usually \(P\leq0.05\) is a common cut - off, but \(0.076\) is not extremely close to \(0\))

Answer:

A. No. The probability of the event is not close to 0.