Answer:
0.37
Step-by-step explanation:
Let n=5 and r=3.
Probability of answering correctly =p
Probability of answering incorrectly =q.
[tex]p=\frac{3}{5}[\tex] and [tex]q=1-\frac{3}{5}=\frac{2}{5}[\tex]
Now the formula for Binomial probability is giving as
B(n,p)=[tex] P(X\geq x)=\frac{n!}{(n-r)!r!}p^{r}q^{n-r}[\tex]
Probability that Naruto will get 4 or more correct answers just by guessing
implies [tex]=P(X[tex]\geq 4=P(4)+P(5)=\frac{5!}{(5-4)!4!}(\frac{3}{5})^{4}(\frac{2}{5})^{5-4}+\frac{5!}{(5-5)!5!}(\frac{3}{5})^{5}(\frac{2}{5})^{5-5}[/tex]
[tex]=\frac{5!}{4!}\frac{3}{5})^{4}(\frac{2}{5})+\frac{5!}{5!}{3}{5})^{4}(\frac{2}{5})^{0}=5\frac{81}{625}\frac{2}{5}+(\frac{3}{5})^{5}[\tex]
[tex] =5\times \frac{162}{3125}+\frac{243}{3125}=\frac{810}{3125}+\frac{243}{3125}=\frac{1053}{3125}=0.33696\approx 0.37 [\tex]
Hope its clear enough.
See the attachment for clear details
Answer:
0 -__-
Step-by-step explanation:
we all know naruto would get 0
