(1 point) A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.

Respuesta :

Answer:

2.03*[tex]10^{-3}[/tex]  

Step-by-step explanation:

Binomial Problem with n = 20 ; p = 1/5

50 % of 20 multiple-choice questions = 10

so P(x=10) = 20C10(1/5)^10*(4/5)^10

= 2.03*[tex]10^{-3}[/tex]

You could also find the probability

that the person answered "at least" 14 questions correctly.

P(10[tex]\leq[/tex]x[tex]\leq[/tex]  20) = 2.03*[tex]10^{-3}[/tex]