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One guy is selling a cake. Potential customers will buy the cake with probability p=0.05. Answer...

One guy is selling a cake. Potential customers will buy the cake with probability p=0.05.

Answer the questions, rounding your answer to 4 digits.

(1) What is the probability that 11th customer will buy the cake?

(2) What is the pobability that one of the first 11 customers will buy the cake?

(3) What is the expected rank of the customers who will buy the cake, E(X)?

(4) Write the formula of the quantile function F^(-1)(m), the function solving x: F(x)=m

(5) What is the 3rd quartile of the distribution?

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