Question

In a certain video game that Ben plays, one particular type of enemy randomly drops special gems 32.75% of the time when defeated. Suppose that there are 8 of these enemies in the level Ben’s character is exploring in the game.

1) Assuming independence of the item drops, what kind of probability distribution would be useful in modeling the number of gems Ben receives if he defeats all the enemies and what are its defining parameters?

2) What is the mean and standard deviation of the number of gems that Ben will receive?

3) Ben needs 3 gems to obtain an important game item. What is the probability that he will receive exactly 3 gems?

4) What is the probability that Ben will receive less than 3 gems and will not be able to get the item? 5) What is the probability that Ben will have gems to spare and end up with more than 3 at the end of the level?

Answer 1

It follows a binomial distribution.We have the probabiltiy of success(p) and use the formula mentioned to calculate the mean and standard deviation.Then we use the formula to calculate the probablities asked in q.3 , q.4 and q.5.