A random variable X is exponentially distributed with an expected value of 33.
a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
b. Compute P(23 ≤ X ≤ 43). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. Compute P(20 ≤ X ≤ 46). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
TOPIC:Exponential distribution.
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