Question

Use the Bindmial probability Table to ansuwer tha follauing Assuma that randon quasses are made for ve mutiple- croice quoshansS on an ACT test, So thuro ara n-sStrials ma prokability of suess (corract) Is givanbye-0a0 a) Ficd tha probability that the amber xof corect ansuars i8at east 3 b hnd tho probability that tha numbr xofeuract answers is fower thon 3 ind tho pronbility thot al ansuars aro corect

please break down each part of the problem with the binomial probabilities

Answer 1

Pace solution Gren- XNB(nip) n=5 a to p=0.20 p(x=x)=X) p? (-2)* - x=0,1,2, - n H o L ;o.co © P(X33) = 1- P(x<3) 31-4p(x=0) + PCX=1 ) +p (X=2) 0-3276+ 0.4096 t 0. 2048 ? = 1- {0.94243 - 0.9421 = 0.0579 PCX73) = 0.05797 0.057g is the correct answer probability that the number * is at least 3 of

classmate Date Page p(x<3) = P(x=0) + P(X=) + pcx=2) = 0.3276+ 0.4096+ 0.2048 = 0.942 ) | P(x(3) = 0.9421 0.9421 is the is fewer than probability that at the consect 3 answer | © P(X=5) = 0. 0003 0.0003 correct is the probability that all answer are