Could you guys help me out with some questions as i have a sac tomorrow covering this topic.(if your wondering what book this is in its the new Heinemann physics 11 3rd Edition Enhanced)
1. Gold-198 is a radioisotope with a half-life of 2.7 days. Consider one particular nucleus in a small sample of this substance. After 2.7 days this nucleus has not decayed. What is the probability that it will decay in the next 2.7 day period?
2. A hospital in Alice Springs needs 12 micrograms of the radio-isotope technetium-99m , but the specimen must be ordered from a hospital in Sydney. If the half-life of
99mTc is for 6 hours and the delivery time between hospitals is 24 hours, how much must be produced in Sydney to satisfy the Alice Springs order?
3. Radioactive materials are considered to be relatively safe when their activity has fallen to below 0.1% of their initial value.
a) How many half-lives does this take?
b) Plutonium- 239 is a by-product of nuclear reactors. It has a half-life of about 24,000 years. For what period of time does a quantity of
239Pu have to be stored until it is considered safe to handle?
Would be so helpful if you guys can reply back ASAP

PS: Could you explain how you have gotten the answer as well, it really helps me to understand the answer better
