Question

# 1a.Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x −...

1a.Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec)spent at the median line. (Round your answers to three decimal places.)

(a) What is the probability that waiting time is at most 2 sec? More than 2 sec?

 at most 2 sec P(X ≤ 2) = more than 2 sec P(X > 2) =

(b) What is the probability that waiting time is between 6 and 7 sec?

1b)Suppose the reaction temperature X (in °C) in a certain chemical process has a uniform distribution with A = −9 and B = 9.

Compute  P(−6 ≤ X ≤ 8). (Round your answer to two decimal places.)

1b)0.78

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