A tenquestion quiz is generated from a large question pool w

A ten-question quiz is generated from a large question pool with: five true-false questions and five multiple choice questions (each with four possible choices for the answers). A student picks an answer for each question. Each quiz question is a “stand-alone” question (i.e. not dependent on information from a previous question.)

Let X = the number of correct answers out of the 10 questions for a student taking the quiz

Which binomial condition not met? _________

Solution

sample space is    2⁵ + 4⁵   = 1056.

the number of correct answers probability is P then wrong one is 1-P.

mean = NP and Variance = NPQ condition is not met .