Imagine you are playing roulette this time in America The pr

Imagine you are playing roulette this time in America. The probability of winning a bet on black is 18/38. Call this a success.

a)Let\'s say we spin 15 times. What is the probability that we get 10 successes? In detail

b)Let\'s say we spin 30 times. Write a summation expression for getting 15 or more successes. Do not compute the answer explicitly. In detail

c)You are now the casino floor manager for roulette. You witness 40 spins and it comes out black 18 times. Is this a weird or unexpected outcome? Explain using a calculation and a few sentences.

d)You witness 40 spins and it comes out black 38 times. Is this a weird or unexpected outcome? Explain using a calculation and a few sentences in English.

e)You witness 40 spins. How many times should black occur normally? At which large values of number of blacks do get concerned by? At which small values of number of blacks do you get concerned by?

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