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# GATE 2022 : Engineering Mathematics-8

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Question 1

If ‘m’ is the mean of Poisson Distribution, the P(0) is given by ___________

Question 2

Match the following Lists.
List-I
A- B- C- D- List-II
1- Discrete distribution
2- Continuous distribution

Question 3

An examination paper has 150 multiple choice questions of one mark each, with each question having four choices. Each incorrect Answer fetches -0.25 marks. Suppose 1000 students choose all their Answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is

Question 4

Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is

Question 5

The number of corona positive people in a city in a month follows poisson distribution with mean of 7.8. find the probability that number of corona positive is less than 3 during a randomly selected month is

Question 6

A continuous random variable X has a probability density function f(x) = e–x, 0 < x < ∞. Then P{X > 1} is
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