Question: Please help me to do Q1 and Q2 with Steps. 1. Let X 1 , X 2 , X 3 are independent and exponentially distributed

Please help me to do Q1 and Q2 with Steps.

1. Let X₁, X₂, X₃ are independent and exponentially distributed with parameter =1.Find the probability that the maximum of X₁, X₂ and X₃ is larger than 2. (Use P(maxx1,maxx2,maxx3 >2)

2. The daily income (in dollars) of a card player has uniform distribution in the interval (-40,50).Assume daily incomes are independent.By Central Limit Theorem, what is the probability that he wins more than 400 dollars in 50 days?(Please find mean and variance first)

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