Question

Some statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.72. Suppose that we randomly pick 25 daytime statistics students.

a. In words, define the random variable X.

(from these) -the number of coins that a daytime statistics student carries--the total amount of money that a daytime statistics student carries---the amount of change that a daytime statistics student carries---the number of daytime statistics students who carry change

b. Give the distribution of X.

c. In words, define the random variable x-bar

(from these)-the average number of daytime statistics students----the average number of daytime statistics students who carry change---the average amount of change a daytime statistics student carries---the average amount of money a daytime statistics student carries

d. Give the distribution of X bar (Round your standard deviation to three decimal places.)

e. Find the probability that an individual had between $0.72 and $0.90. (Round your answer to four decimal places.)

f. Find the probability that the average of the 25 students was between $0.72 and $0.90. (Round your answer to four decimal places.)

g. Explain why there is a difference between parts (e) and (f).

(from these)- The graph of sample means becomes more normal as the sample increases; therefore, in part (f), the graph is approximately normal and in part (e), the graph is exponential.-----The graph of the amount of change becomes more normal as the sample increases; therefore, in part (e), the graph is approximately normal and in part (f), the graph is exponential.----- There is always a better chance for 25 people to have between $0.72 and $0.90 than for 1 person to have that amount.-----There is always a better chance for one person to have between $0.72 and $0.90 than for 25 people to each have that amount.

Answer 1