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Your goal is to collect all 80 player cards in a game. The Player cards are...

Your goal is to collect all 80 player cards in a game. The Player cards are numbered 1 through 80. High numbered cards are rarer/more valuable than lower numbered cards. Albert has a lot of money to spend and loves the game. So every day he buys a pack for $100. Inside each pack, there is a random card. The probability of getting the n-th card is c(1.05)^-n, For some constant c. Albert buys his first pack on June 1st.

What is the expected number of Player cards Albert will collect in June?(30 days) Find the expected number of unique Player cards Albert will collect in June. (Answer may include summation symbol or integral sign.

Math   Statistics-And-Probability   
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