Mechanical Engineering
2021 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.
Question 33
Open questionMEMCQ2 marksNeeds review
Customers arrive at a shop according to the Poisson distribution with a mean of 10 customers/hour. The manager notes that no customer arrives for the first 3 minutes after the shop opens. The probability that a customer arrives within the next 3 minutes is
Your answerChoose one option.
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Let
be a continuous function defined on
. The point
at which the tangent of
becomes parallel to the straight line joining
and
isYour answerChoose one option.
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Open questionMENAT2 marksNeeds review
Activities A, B, C and D for the critical path for a project with a PERT network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) distribution, and are independent of each other.
Activity | A | B | C | D |
|---|---|---|---|---|
Mean (days) | 6 | 11 | 8 | 15 |
Variance (days ) | 4 | 9 | 4 | 9 |
The probability that the project will be completed within 40 days is ______ (round off to two decimal places).
(Note: Probability is a number between 0 and 1).
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