1. Shrek wants to buy a birthday gift for Fiona. Assume that the amount of time spent deciding what to get for her takes X days, where the distribution of the continuous random variable X has the memoryless property and its range is [0, 00). The probability that he takes more than 3 days to decide what to buy is e-6 0.0025. When he has decided to get a certain gift, then the amount of time taken to procure it takes an additional ex days. What is the expected amount of days it takes Shrek to get Fiona's gift (including both the decision making time and the time required for procuring it)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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1. Shrek wants to buy a birthday gift for Fiona. Assume that the amount of time spent deciding what to get for
her takes X days, where the distribution of the continuous random variable X has the memoryless property
and its range is [0, 00). The probability that he takes more than 3 days to decide what to buy is e-6z 0.0025.
When he has decided to get a certain gift, then the amount of time taken to procure it takes an additional
ex days. What is the expected amount of days it takes Shrek to get Fiona's gift (including both the decision
making time and the time required for procuring it)?
Transcribed Image Text:1. Shrek wants to buy a birthday gift for Fiona. Assume that the amount of time spent deciding what to get for her takes X days, where the distribution of the continuous random variable X has the memoryless property and its range is [0, 00). The probability that he takes more than 3 days to decide what to buy is e-6z 0.0025. When he has decided to get a certain gift, then the amount of time taken to procure it takes an additional ex days. What is the expected amount of days it takes Shrek to get Fiona's gift (including both the decision making time and the time required for procuring it)?
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