GATE PI 2021 Paper 1 — page 16

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

A circular tank of 4 m diameter is filled up to a height of 3 m. Assuming almost steady flow and neglecting losses, the time taken in seconds to empty the tank through a 5 cm diameter hole located at the center bottom (take acceleration due to gravity g = 9.81 m/s²) is [round off to the nearest integer]

Your answerChoose one option.

505

187

897

354

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The probability mass function

of a discrete random variable X is given by

, where x = 1, 2, ···, ∞. The expected value of X is _________. [in integer]

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The time to pass through a security screening at an airport follows an exponential distribution. The mean time to pass through the security screening is 15 minutes. To catch the flight, a passenger must clear the security screening within 15 minutes. The probability that the passenger will miss the flight is _________. [round off to 3 decimal places]

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2021 · Paper 1

Question 36

Question 37

Question 38