Naruto is taking an important multiple choice ninja exam that is 5 questions long. each question has 3 possible answers. what is the probability that naruto will get 4 or more correct answers just by guessing? (if x is the (random variable giving the) number of correct answers naruto gets while guessing, then convince yourself that x = bin(n, p) for a good choice of n and a good choice of p.)

0.37

Step-by-step explanation:

Let n=5 and r=3.

Probability of answering correctly =p

Probability of answering incorrectly =q.

[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

step-by-step explanation: