Question

_{is the model of bernoulli trials plausible in each of the following situations? Discuss in what manner (if any) a serious violation of the assumptions can occur.}

_{Seven friends go to a blockbuster movie and each is asked whether the movie was excellent}

_{A musical aptitude test is given to 10 students and the times to complete the test are recorded.}

Answer 1

1.) No Bernoulli trails are not plausible. Though, the response from each of seven friends will be 0 or 1, 1 if movie was excellent and 0 otherwise, but the probability that movie was excellent depends on each of the people. Someone liked it or someone else didn't. So, probability is not the same in all trials, therefore violating the condition of Bernoulli trials.But if we assume that probability that movie was excellent was predecided and same forever, than this can be considered as bernoulli trials

2.) Since, time recorded for each student can be in minutes and not taking only two values ( say 0 or 1 ), therefore the values are not binary, hence trials are not Bernoulli