Question

Previous Problem Problem List Next Problem (1 point) A quick quiz consists of 4 multiple choice problems, each of which has 6 answers, only one of which is correct if you make random guesses on all problems (a) What is the probability that all of your answers are incorrect? wwwer 2181296 () What is the probability that all of your answers are correct? wwer 0.52

Answer 1

TOPIC:Binomial distribution.

Define, n = Total no. of problems in the quiz 4. p = p (of guessing connecty). Е . Г. But с родины. I choices, there is only one answer, which - is coppect. Let, x = 'No. of questions answered connectly. (by guessing). [x~ Bin (n=4, b = 1) So, the pref of x is - (x=x) = {(26)* (*)** ;301,-14 ; otherwise. @ we need, = P(AM 4 answers are incorpect = P (No answer is connect). = P(x=0), 0975) 37 2 () 625 1296 10.48.23)

connect) - ③ we need, - P (AM 4 answers are = P(x=4), (6) 693 = 1296 = 0.0007716. & 10.0008 Tan I The answers are rounded to Jour decimals. If more precision is needed, the anowers are a Part-a 625 = = 0.482253086 1296 Part by g = 0.000771605.