Previously, De Anza statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of \($0.88.\) Suppose that we randomly pick 25 daytime statistics students.

a. In words, Χ = ____________

b. Χ ~ _____(_____,_____)

c. In words, X̅ = ____________

d. X̅ ~ ______ (______, ______)

e. Find the probability that an individual had between \($0.80\) and \($1.00.\) Graph the situation, and shade in the area to be determined.

f. Find the probability that the average of the 25 students was between \($0.80\) and \($1.00.\) Graph the situation, and shade in the area to be determined.

g. Explain why there is a difference in part e and part f.