GATE CSE 2021 Paper 1 — page 10

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

The lifetime of a component of a certain type is a random variable whose probability density function is exponentially distributed with parameter 2. For a randomly picked component of this type, the probability that its lifetime exceeds the expected lifetime (rounded to 2 decimal places) is ________.

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There are 6 jobs with distinct difficulty levels, and 3 computers with distinct processing speeds. Each job is assigned to a computer such that:

The fastest computer gets the toughest job and the slowest computer gets the easiest job.

Every computer gets at least one job. The number of ways in which this can be done is ________.

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Consider the following expression.

The value of the above expression (rounded to 2 decimal places) is ________.

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2021 · Paper 1

Question 18

Question 19

Question 20