Classification of probability distributions:
Continuous Probability Distributions: Defined over an unbroken interval of real numbers. Examples include the Normal distribution (A), Chi-square distribution (\(\chi^2\)) (D), F-distribution (E), Student's t-distribution, and Exponential distribution.
Discrete Probability Distributions: Take only distinct, countable integer values (counts). Examples include the Binomial distribution (B) and Poisson distribution (C).

To determine the median of an odd number of observations (

• The median is the middle value at position \(\frac{n + 1}{2} = \frac{5 + 1}{2} = 3^{\text{rd}}\) item.
• The 3rd observation in the ordered dataset is 11.

Detailed Step-by-Step Calculation of 25th Percentile ($Q_1$):

• Arranged Data ($n = 14$): 30, 32, 35, 38, 40, 42, 48, 49, 52, 55, 58, 60, 62, 65.
• Position of 25th Percentile ($Q_1$):
  $$\text{Position} = \frac{n + 1}{4} = \frac{14 + 1}{4} = 3.75^{\text{th}} \text{ observation}$$
• Interpolation:
  $$Q_1 = \text{3rd value} + 0.75 \times (\text{4th value} - \text{3rd value})$$
  $$\text{3rd value} = 35, \quad \text{4th value} = 38$$
  $$Q_1 = 35 + 0.75 \times (38 - 35) = 35 + 0.75 \times 3 = 35 + 2.25 = 37.25$$