An online game claims that during the promotional period 25% of the prize boxes will contain a rare item. Items awarded in prize boxes are randomly selected according to the programming of the game, so any box should have the same probability of containing a rare item. Let X be a random variable where X = number of prize boxes opened containing rare items. What is the smallest value that X can be? What is the largest value that X can be? What is the expected number of rare items out of 400 trials if the company's claim is true? What is the smallest number of rare items that would be considered usual? (round to nearest whole number). What is the largest number of rare items that would be considered usual? (round to nearest whole number). You run an experiment and open 400 prize boxes. 92 of the prize boxes had rare items. What is the probability of getting exactly 92 rare items? Round to 4 decimal places. What is the probability of getting 92 or fewer rare items? Round to 4 decimal places. Based on your answers, does the company's claim seem to be true? Type the letter (capital)