Final Answer:
C) P($16 < x < $21) = 0.60 because The probability that a randomly selected person spent between $16 and $21 is 0.60 because it represents the area under the probability distribution curve within that range.
Step-by-step explanation:
The probability that a randomly selected person spent between $16 and $21 is 0.60. This can be calculated by finding the area under the probability distribution curve between the two given values.
In this case, the probability corresponds to the area between $16 and $21 on the distribution curve.
To elaborate, probabilities in a continuous distribution are represented by the area under the curve within a given range. The total area under the curve represents a probability of 1.
By identifying the range $16 to $21 and calculating the corresponding area, we determine the probability of a person spending within that range.
In statistical terms, the probability is the integral of the probability density function (PDF) over the specified interval.
In this context, the probability that a randomly selected person spent between $16 and $21 is 0.60, which indicates a relatively high likelihood of individuals falling within this expenditure range according to the given distribution.
Therefore, the correct answer is option C