A) When a coffee shopused physical cups for their Roll up the Rim contest (before switching over to "digital cups") they printed the cupsso that1 out of every 6 cups would be a winner.If the winning cups are truly randomly spread throughout the country, what is theexpected number of cupsyou would need to buy until you found awinning cup?

B) What would represent a significant difference from the expected number of cups purchased before a successful cup is purchased?In other words, what is the standard deviation for the number of cups needed before a winning cup is found?

Round the answer to 2 decimal places.

C) A person feels they are particularly unlucky when it came to buying Tim Hortonscoffee and winning Roll up the Rim.They often tell the story about how they kept buying losing coffee cups until the 18th cup was their first winning cup.What is the probability that someone could purchase this many cups and only win on the 18th cup?

Express the final answer as a percentage to 2 decimal places.

D) What is the probability of buying a winning cupwithin your first3cups?

Express the final answer as a percentage to 2 decimal places.

E) The probability distribution for these questions could be best written as:

a)X ~ G(q) b)X ~ B(n,q) c)X ~ G(p) d)X ~B(n, p)