Question

Problem A: The table below shows the portfolio of a private investor on the stock market. Share Share price ($) Number of shares 3004BD 2,000 400 5302WE 3,500 1100 1023TQ 10,500 200 2385HT 20,000 2700 3478MD 3,600 1900 4528PZ 8,000 1000 2375TU 4,700 300 (3) Refer to Problem A. Identify the experimental unit in the table above. (1) A particular share. (2) The share price. (3) The number of shares. (4) The private investor. (4) Refer to Problem A. If the variable Share price ($) is displayed on a pie chart, what is the angle of the segment/slice that the share '2385HT' occupies on this pie chart? (1) 20.00° (2) 72.28° (3) 220.33º (4) 137.67° (5) Refer to Problem A. Suppose one of the shares were selected at random from the total number of shares. Calculate the probability that it is a “5302WE' share. (1) 0.355 (2) 0.145 (3) 0.026 (4) 0.300

Answer 1

3.

The experimental unit is the physical entity which can be assigned, at random, to a treatment.

Here, A particular share is the experimental unit.

Option A is the right answer.

4.

The total angle of a pie chart is 360 degrees.

Angle = [20,000 / (2000 + 3500 + 10500 + 20000 + 3600 + 8000 + 4700)] *360 = (20000 / 52300)*360

Angle = 0.382*360 = 137.67

Option B is the right answer.

5.

P(A) = n(E)/n(S)

Where P(A) is the probability of an event A

n(E) is the number of favorable outcomes

n(S) is the total number of events in the sample space.  

The number of shares for 5302WE are 1100 whereas total number of shares are 7600.

P = 1100/(400 + 1100 + 200 + 2700 + 1900 + 1000 + 300) = 1100/7600 = 0.145

Option B is the right answer.