The author surveyed students in one of his statistics classes about the number of hours they worked per week. The density histogram in Fig. 17 describes their responses.

For a randomly selected student in the class, let X be the number of hours the student works per week.

a. Find P(X ≥ 25).

b. Find P(X < 20).

c. Find P(15 ≤ X < 30).

d. Describe the shape of the distribution.

e. Rather than use the mean or the median to estimate the center of the entire distribution, explain why it would be more meaningful to separate the data into two groups and estimate the center of each group.

Transcribed Image Text:

Time Spent Working per Week 0.08t 006 0.04 0.33 0,02 0.19 014 0.12 0.10 0.12 S 10 20 2530 35 Hours per week Figure 17 Exercises 53 and 54