Q1. Consider the following stem and leaf plot:

Stem       Leaf
1         0, 2, 5, 7
2         2, 3, 4, 4
3         0, 4, 6, 6, 9
4         5, 8, 8, 9
5         2, 7, 8

Suppose that a frequency distribution was developed from this, and there were 5 classes (10- under 20, 20-under 30, etc.). What is the cumulative frequency for the 30-under 40 class interval?

A. 5
B. 9
C. 13
D. 14

Q2. Chebyshev's Theorem says that the number of values within 3 standard deviations of the mean will be _______.

A. at least 75%
B. at least 68%
C. at least 95%
D. at least 89%

Q3. A commuter travels many kilometres to work each morning. She has timed this trip 5 times during the last month. The time (in minutes) required to make this trip was 44, 39, 41, 35 and 41. The mean time required for this trip was 40 minutes. What is the variance for this sample data?

A. 8.8
B. 11
C. 0
D. 3

Q4. Meagan Davies manages a portfolio of 200 common stocks. Her staff classified the portfolio stocks by 'industry sector' and 'investment objective'.

Investment                    Industry Sector
Objective       Electronics   Airlines    Healthcare    Total
Growth              100           10            40            150
Income               20            20            10             50
Total                 120           30            50            200

If a stock is selected randomly from Meagan's portfolio, P(Growth|Healthcare) = _____.

A. 0.25
B. 0.40
C. 0.20
D. 0.80

Q5. Adam Shapiro, Director of Human Resources, is exploring employee absenteeism at Plain Power Plant. Ten per cent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively. A plant employee is selected randomly; F is the event 'works in the finishing department'; and A is the event 'is absent excessively'. P(A|F) = _____________.

A. 0.37
B. 0.70
C. 0.13
D. 0.35