A random variable X can be modeled by the Exponential distribution, where 3 = 0 = 4, λ = 1. (a) Complete the sentence. The distribution of X is ? and ox 0 μx (Enter numerical answers to two decimals.) (b) Find P(2 ≤X ≤ 4). Use four decimals. ◆, with (c) Find the 25-th percentile. Enter your answer to two decimals. Use two decimals in your answer.

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A random variable X can be modeled by the Exponential
distribution, where ß = 0 = 4, λ = 1.
(a) Complete the sentence.
The distribution of X is ?
μχ -0
and ox
(Enter numerical answers to two decimals.)
=
(b) Find P(2 ≤X ≤ 4). Use four decimals.
X 25
(c) Find the 25-th percentile. Enter your answer to two
decimals. Use two decimals in your answer.
=
◆, with
(d) Find P(X> 8.5). Use four decimals in your answer.
Transcribed Image Text:A random variable X can be modeled by the Exponential distribution, where ß = 0 = 4, λ = 1. (a) Complete the sentence. The distribution of X is ? μχ -0 and ox (Enter numerical answers to two decimals.) = (b) Find P(2 ≤X ≤ 4). Use four decimals. X 25 (c) Find the 25-th percentile. Enter your answer to two decimals. Use two decimals in your answer. = ◆, with (d) Find P(X> 8.5). Use four decimals in your answer.
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