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Question 2 20 points Select the appropriate distribution for part a c and justify your answer with corresponding pmf For instance if the r v follows binomial distribution you should specify the parameters n and p in b x n p and you don t need to provide the full pmf Parta 5 points You roll a 6 sided die Let X be the number of rolls required to get a 6 What type of random variable is X b binomial d negative binomial e hypergeometric Part b 5 points A class has 25 business students and 20 engineering students You randomly select 10 students for a survey at one time without replacement Let Y be the number of engineering students obtained What type of random variable is Y b binomial d negative binomial e hypergeometric Part c 5 points When St phane plays chess against his favorite computer program he wins with probability 0 60 loses with probability 0 10 and 30 of the games result is a draw Assume independence Let Y be the number games he wins in 10 plays What type of random variable is Y b binomial d negative binomial e hypergeometric Part d 5 points A website receives an average of 10 visits every minute The site manager starts to monitor the number of visits at 10 00 am How would you calculate the probability of receiving 30 visits in the period between 10 00 and 10 05 am You don t need to calculate the final result just show the equation with specific values for the r v and distribution parameters

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