4) Suppose a dice-rolling experiment has () = 1000 0.0990210258 as its model. a) What is the initial number of dice rolled? b) How many rolls does it take to reach half of the original 1000 dice? c) How many rolls does it take to reach a quarter of the original 1000 dice? d) How many rolls does it take to reach an eighth of the original 1000 dice? e) How many rolls does it take to reach a sixteenth of the original 1000 dice? f) What did you notice about these "half-lives"?

Explain it clearly and need only typed answers Thank you