b. The lifetime X of a particular species is assumed to be exponentially distributed with mean 75 time units. Find the probability that a member of this particular species picked at random survives: i. more than 90 time units; ii. less than 70 time units; iii. between 70 and 85 time units.

b. The lifetime X of a particular species is assumed to be exponentially distributed with mean 75 time units. Find the probability that a member of this particular species picked at random survives: i. more than 90 time units; ii. less than 70 time units; iii. between 70 and 85 time units.

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

b. The lifetime X of a particular species is assumed to be exponentially distributed with
mean 75 time units.
Find the probability that a member of this particular species picked at random survives:
i. more than 90 time units;
less than 70 time units;
between 70 and 85 time units.
ii.
iii.
iv. Calculate Var(X).

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