SOLUTION: Suppose a student taking a multiple choice test has to guess on three answers. Assume there are five choices for each question (a, b, c, d, e) with only one being correct. Construc

Click here to see ALL problems on Probability-and-statistics

Question 286759: Suppose a student taking a multiple choice test has to guess on three answers. Assume there are five choices for each question (a, b, c, d, e) with only one being correct. Construct a probability distribution table for the possible outcomes.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Suppose a student taking a multiple choice test has to guess on three answers. Assume there are five choices for each question (a, b, c, d, e) with only one being correct. Construct a probability distribution table for the possible outcomes.
Binomial Problem with n = 3 ; p = 1/5 ; q = 4/5
P(x=0)= 3C0(1/5)^0(4/5)^3 = 0.512
---
P(x=1)=3C1(1/5)^1(4/5)2) = 0.384
---
P(x=2)=3C2(1/5)^2(4/5) = 0.096
etc.
====================
Cheers,
Stan H.