An eight-sided die is loaded in a way that each even face is twice as likely as each odd face. all even faces are equally likely, as are all odd faces. (a) construct a probabilistic model for a single roll of this die and find the probability that the outcome is a prime number. (b) if the die is rolled repeatedly until the first time an odd number is observed, what would be the sample space of the experiment?

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes