# Probability and statistic

Suppose X has an exponential distribution with mean equal to 13. Determine the following:

(a) Upper P left-parenthesis x ⁢ greater-than 10 right-parenthesis (Round your answer to 3 decimal places.)

(b) Upper P left-parenthesis x ⁢ greater-than 20 right-parenthesis (Round your answer to 3 decimal places.)

(c) Upper P left-parenthesis x ⁢ less-than 30 right-parenthesis (Round your answer to 3 decimal places.)

(d) Find the value of x such that Upper P left-parenthesis Upper X ⁢ less-than x right-parenthesis equals 0.95. (Round your answer to 2 decimal places.)

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