(1 point) Discrete random variable, x, can be one of the following 6 values: 4 Its probablity mass function is given by What is P(x = k)? P(x = k) = k is a positive value. What should the value of k be? k = (1 point) The negative binomial distribution is a discrete probability distribution where discrete random variable, x, is the number of failures that will occur before r successses occur in a sequence of repeated Bernoulli trials, and where p is the probability of success for each trial. The probability mass function is given by x+r1 r1 f(X) = (1 - P)"p' In a certain video game, players are rewarded with loot boxes. Suppose each loot box contains a single random item. Players do not know what item is contained in the loot box until it is opened. Also suppose each loot box has a 0.04 chance of containing a rare item. A) What is the probability that a player will get 47 nonrare items from loot boxes before getting 1 rare item(s)? Probability = B) Hana likes to save all her loot boxes so that she can open a bunch at once. She has amassed 76 loot boxes to open. What is the probablity that she will get 3 rare items? Probability =