Clara needs to purchase a new dress for a dance. there are several malls near her location. she decides to shop for the dress at northfield mall and purchase the dress from one of the stores at that mall.

which answer best describes the sample and population?

sample: all available dresses at stores in northfield mall
population: all available dresses at any location in clara's state

sample: all available dresses at stores in northfield mall
population: all available dresses near clara's location

sample: all available dresses near clara's location
population: all available dresses at stores in northfield mall

sample: all available dresses near clara's location
population: all available dresses at any location in clara's state

Choice B

Sample = all dresses at stores in Northfield Mall

Population = all dresses at any nearby location

Explanation:

The population consists of all of the dresses Clara cares about, ie the dresses within her location. Due to time and money constraints, she cannot visit every single location. So instead she focuses on a small sample of the stores at the Northfield Mall. Ideally the sample is representative of the population. The size of the sample is always smaller than the size of the population.

note: we would ignore any answer that has "location in Clara's state" because that population is way too big. We don't need to enlarge the population. Sometimes the population can be a relatively small set. The same can be said about us ignoring any potential answers that would have "any locations in the entire country" for the population.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0