Questions: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock price increased in value for the day, "Down" means the stock price decreased in value for the day, and "No change" means the stock price closed at the same price it closed for the previous day. Complete parts (a) through (e) (i) Click the icon to view the table of data. Down 0.367 No change 0.167 Up 0.467 (Round to three decimal places as needed.) (c) Construct a frequency bar graph. Choose the correct graph below. A. B. C. D.

Solution Steps

• The table provides the probabilities for each stock movement: Down (0.367), No change (0.167), and Up (0.467).
• To find the frequencies, multiply each probability by the total number of trading days (30).

\[ \text{Frequency of Down} = 0.367 \times 30 = 11.01 \approx 11 \] \[ \text{Frequency of No change} = 0.167 \times 30 = 5.01 \approx 5 \] \[ \text{Frequency of Up} = 0.467 \times 30 = 14.01 \approx 14 \]

• The correct bar graph should reflect the calculated frequencies: Down (11), No change (5), and Up (14).

• Option A: Down (10), No change (5), Up (15)
• Option B: Down (10), No change (5), Up (15)
• Option C: Down (11), No change (5), Up (14)
• Option D: Down (11), No change (5), Up (14)

Final Answer