Consider the following exponential probability density function. f(x) = 1 5e−x/5 for x ≥ 0 (a) Write the formula for P(x ≤ x0). 1−E−(X5) (b) Find P(x ≤ 4). (Round your answer to four decimal places.) (c) Find P(x ≥ 5). (Round your answer to four decimal places.)

Consider the following exponential probability density function. f(x) = 1 5e−x/5 for x ≥ 0 (a) Write the formula for P(x ≤ x0). 1−E−(X5) (b) Find P(x ≤ 4). (Round your answer to four decimal places.) (c) Find P(x ≥ 5). (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Consider the following exponential probability density function.

f(x) =

e^−x/5 for x ≥ 0

(a)

Write the formula for

P(x ≤ x₀).

1−E−(X5)

(b)

Find

P(x ≤ 4).

(Round your answer to four decimal places.)

(c)

Find

P(x ≥ 5).

(Round your answer to four decimal places.)

(d)

Find

P(x ≤ 6).

(Round your answer to four decimal places.)

(e)

Find

P(4 ≤ x ≤ 6).

(Round your answer to four decimal places.)

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