13.33%

86.67%

71.07%

13.33%

$20000\cdot 0.35806...\approx 7161$

$20000\cdot 0.2927...\approx 5854$

$20000\cdot 0.1456...\approx 219$

9.12%

25.25%

0.38

11.09%

$0.9953$ litres

$1.0392$ litres

10.9%

51.2%

5.8%

No taller than $153.7$ cm, therefore no taller than $153$ cm.

At least $170.3$, therefore at least $171$ cm.

$\mu =43.6$ cm and $\sigma =2.7$ cm.

Own answer.

$\text{P}(K<a)=0.05$ gives you $a\approx 39.2$ cm.

$\text{P}(K<g)=0.80$ gives you $g\approx 45.9$ cm. This means the longest 20% have a knee height of $45.9$ cm or more.