Test: Engineering Mathematics- 8 - Computer Science Engineering (CSE) MCQ

Test: Engineering Mathematics- 8 - Computer Science Engineering (CSE) MCQ

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10 Questions MCQ Test GATE Computer Science Engineering(CSE) 2025 Mock Test Series - Test: Engineering Mathematics- 8

Test: Engineering Mathematics- 8 for Computer Science Engineering (CSE) 2024 is part of GATE Computer Science Engineering(CSE) 2025 Mock Test Series preparation. The Test: Engineering Mathematics- 8 questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Engineering Mathematics- 8 MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Engineering Mathematics- 8 below.
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Test: Engineering Mathematics- 8 - Question 1

Given  X ¬ B (n,p) if E(X) = 6, Var(X) = 4.2 then what is the value of n?

Detailed Solution for Test: Engineering Mathematics- 8 - Question 1

Test: Engineering Mathematics- 8 - Question 2

The probability density function of the normal distribution of a random variable X is What is the sum of mean and standard deviation?

Detailed Solution for Test: Engineering Mathematics- 8 - Question 2

Probability density function of normal distribution is

Note:
σ = standard deviation

σ= variance

μ = mean

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Test: Engineering Mathematics- 8 - Question 3

Binomial distribution B(n,p) can be approximated to a normal distribution N(np, np(1−p)) if ____

Detailed Solution for Test: Engineering Mathematics- 8 - Question 3

Binomial distribution B(n,p) can be approximated to normal distribution N(np,np(1−p)) if n is large and p and 1-p are almost equal. Approximation generally improves as n increases (at least 20) and is better when p is not near to 0 or 1.

*Answer can only contain numeric values
Test: Engineering Mathematics- 8 - Question 4

If a random variable x satisfies the Poisson’s distribution with a mean value of 3, then the probability that (x ≥ 2) is Poisson’s distribution,

Detailed Solution for Test: Engineering Mathematics- 8 - Question 4

For Poisson’s distribution,

Test: Engineering Mathematics- 8 - Question 5

Let Harsh and Dinesh be the two players playing chess and their chances of winning a game are in the ration 4:3 respectively. What is the chance of Dinesh winning at least 4 games out of five games played?

Detailed Solution for Test: Engineering Mathematics- 8 - Question 5

*Answer can only contain numeric values
Test: Engineering Mathematics- 8 - Question 6

From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).

Detailed Solution for Test: Engineering Mathematics- 8 - Question 6

A man is to draw 2 balls at random without replacement.

Probability to draw 2 red balls
Probability to draw 2 white balls
Probability to draw one red ball and one white ball =
Let X be the random variable and it shows the money he earn.

Expectation =

*Answer can only contain numeric values
Test: Engineering Mathematics- 8 - Question 7

If the probability of passing an exam is 0.001, then determine the chance that more than 3 students out of 3,000 will pass the exam (answer up to 2 decimal place)?

Detailed Solution for Test: Engineering Mathematics- 8 - Question 7

Poisson distribution is used as probability of occurrence is very small.

mean = λ = n

∴ λ = 3000 × 0.001 = 3

= 0.35

Test: Engineering Mathematics- 8 - Question 8

A dice is rolled 180180 times, find the probability that face 44 will turn up at least 3535 times.(Assume normal distribution). Assume p(0 < z < 1) = 0.3413

Detailed Solution for Test: Engineering Mathematics- 8 - Question 8

Given that n = 180

Required Probability is given by
∴ mean

Variance = npq = 25

= 0.5 – 0.3413 = 0.1587

*Answer can only contain numeric values
Test: Engineering Mathematics- 8 - Question 9

The probability that GATE CS/IT question has an error is 1/20 and 65 questions are made in such an exam. If the probability that at least 2 question has an error is [1−[a(19/20)64]] then what is the value of (answer up to 2 decimal place)?

Detailed Solution for Test: Engineering Mathematics- 8 - Question 9

Using Binomial Distribution

Probability that x questions have an error

Test: Engineering Mathematics- 8 - Question 10

If X is a Poisson variate such that P(X=2) = 3P(X=4) then what is the value of P(X=3)?

Detailed Solution for Test: Engineering Mathematics- 8 - Question 10

P (X = 2) = 3P (X = 4)

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