Schema lui Bernoulli
[tex]P=C_n^kp^kq^{n-k}[/tex]
Probabilitatea de a raspunde corect la o intrebare
[tex]p=\frac{1}{5}[/tex]
[tex]q=1-p\\\\q=1-\frac{1}{5} =\frac{4}{5}[/tex]
k=37
n=40
[tex]P=C_{40}^{37}(\frac{1}{5} )^{37}(\frac{4}{5})^{3}[/tex]
[tex]C_{40}^{37}=\frac{40!}{37!\cdot3!}=\frac{38\cdot 39\cdot 40}{6} =38\cdot 13\cdot 20[/tex]
[tex]P=38\cdot 13\cdot 20\cdot (\frac{1}{5})^{37}\cdot (\frac{4}{5})^3=38\cdot 13\cdot 4\cdot \frac{4^3}{5^{39}} =38\cdot 13\cdot \frac{4^4}{5^{39}}[/tex]
Un alt exercitiu cu probabilitati gasesti aici: https://brainly.ro/tema/726874
#SPJ1
