連続確立分布

統計学入門

George Boorman

Curriculum Manager, DataCamp

バスの待ち時間

timeline from one to two pm with six bus arrivals, one every 12 minutes.png

Set of axes with wait time on the x axis.png

Y axis of P(outcome = wait time) with a horizontal line going across the graph at 1/12.png

$$P(4 \le \text{待ち時間} \le 7) = ~~ ?$$

Area between four and seven highlighted under the horizontal line.png

$$P(4 \le \text{待ち時間} \le 7) = ~~ ?$$

Width of highlighted area is seven minus four equals three, height is one twelfth.png

$$P(4 \le \text{待ち時間} \le 7) = 3 \times 1/12 = 3/12$$

Width of highlighted area is seven minus four equals three, height is one twelfth.png

$$ P(\text{待ち時間} \le 7) = ~~ ?$$

$$ P(\text{待ち時間} \le 7) = \frac{7-0}{12} $$

$$ P(\text{待ち時間} \le 7) = \frac{7}{12} = 58.33\% $$

Area highlighted from zero to seven under horizontal line.png

$$P(0 \le \text{待ち時間} \le 12) = ~~ ?$$

Width of distribution equals one, height equals one twelfth.png

$$P(0 \le \text{待ち時間} \le 12) = 12 \times 1/12 = 1$$

Width of distribution equals one, height equals one twelfth.png

$$ P(\text{待ち時間} \ge 7) = 1 - \frac{7}{12} $$

$$ P(\text{待ち時間} \ge 7) = \frac{5}{12} = 41.67\% $$

Area highlighted from seven to 12.png

Distribution with two peaks.png

統計学入門