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Test: Probability & Statistics - Civil Engineering (CE) MCQ


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20 Questions MCQ Test Engineering Mathematics - Test: Probability & Statistics

Test: Probability & Statistics for Civil Engineering (CE) 2024 is part of Engineering Mathematics preparation. The Test: Probability & Statistics questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Probability & Statistics MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Probability & Statistics below.
Solutions of Test: Probability & Statistics questions in English are available as part of our Engineering Mathematics for Civil Engineering (CE) & Test: Probability & Statistics solutions in Hindi for Engineering Mathematics course. Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free. Attempt Test: Probability & Statistics | 20 questions in 60 minutes | Mock test for Civil Engineering (CE) preparation | Free important questions MCQ to study Engineering Mathematics for Civil Engineering (CE) Exam | Download free PDF with solutions
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Test: Probability & Statistics - Question 1

If the arithmetic mean of two numbers is 10 and their geometric mean is 8, the numbers are

Detailed Solution for Test: Probability & Statistics - Question 1

Let the numbers be a and b Then

Solving a + b = 20 and a - b = 12 we get a  = 16 and b = 4.

Test: Probability & Statistics - Question 2

The median of
0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6 is

Detailed Solution for Test: Probability & Statistics - Question 2

Observations in ascending order are -3, -3, -1, 0, 2, 2, 2, 5, 5, 5, 5 6, 6, 6
Number of observations is 14, which is even.

Test: Probability & Statistics - Question 3

Consider the following table

The median of the above frequency distribution is

Detailed Solution for Test: Probability & Statistics - Question 3

The given Table may be presented as

Test: Probability & Statistics - Question 4

The mode of the following frequency distribution, is

Detailed Solution for Test: Probability & Statistics - Question 4

Maximum frequency is 23. So, modal class is 12–15.

Test: Probability & Statistics - Question 5

The mean-deviation of the data 3, 5, 6, 7, 8, 10, 11, 14 is

Detailed Solution for Test: Probability & Statistics - Question 5

Test: Probability & Statistics - Question 6

The mean deviation of the following distribution is

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Test: Probability & Statistics - Question 7

The standard deviation for the data 7, 9, 11, 13, 15 is

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Test: Probability & Statistics - Question 8

The standard deviation of 6, 8, 10, 12, 14 is

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Test: Probability & Statistics - Question 9

The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once is

Detailed Solution for Test: Probability & Statistics - Question 9

Here p  = 0.4, q = 0.6 and n = 3.

Test: Probability & Statistics - Question 10

Eight coins are tossed simultaneously. The probability of getting at least 6 heads is

Detailed Solution for Test: Probability & Statistics - Question 10

p = 1/2, q = 1/2, n = 8. Required probability  = P (6 heads or 7 heads or 8 heads)

Test: Probability & Statistics - Question 11

The ranks obtained by 10 students in Mathematics and Physics in a class test are as follows

The coefficient of correlation between their ranks is

Detailed Solution for Test: Probability & Statistics - Question 11

Di = -2, -8, -2, 3, 3, -3, 3, 0, 2, 4.

Test: Probability & Statistics - Question 12

If ∑ xi = 24, ∑yi = 44, ∑ xiyi =  306,  ∑ xi2 =164 ,∑yi2 = 574 and n = 4 then the regression coefficient bxy  is equal to 

Detailed Solution for Test: Probability & Statistics - Question 12

Test: Probability & Statistics - Question 13

If ∑ xi = 30, ∑yi = 42, ∑ xiyi =  199 , ∑ xi2 =184 ,∑yi2 = 318 and n = 6 then the regression coefficient bxy  is equal to

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Test: Probability & Statistics - Question 14

Let r be the correlation coefficient between x and y and bxy ,byx be the regression coefficients of y on x and x on y respectively then

Detailed Solution for Test: Probability & Statistics - Question 14

Test: Probability & Statistics - Question 15

Which one of the following is a true statement

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Test: Probability & Statistics - Question 16

If byx  = 1.6 and bxy = 0.4 and θ is the angle between two regression lines, then tan θ is equal to

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Test: Probability & Statistics - Question 17

The equations of the two lines of regression are : 4x + 3y + 7 = 0 and 3x + 4y + 8  = 0. The correlation coefficient between x and y is

Detailed Solution for Test: Probability & Statistics - Question 17

Test: Probability & Statistics - Question 18

If cov(X, Y) = 10, var (X) = 6.25 and var(Y)  = 31.36, then ρ(X,Y) is

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Test: Probability & Statistics - Question 19

If ∑x = ∑y = 15, ∑x2 = ∑y2 = 49, ∑xy = 44 and n = 5, then bxy = ? 

Detailed Solution for Test: Probability & Statistics - Question 19

Test: Probability & Statistics - Question 20

If ∑x = 125, ∑y = 100 , ∑x2 = 1650, ∑y2 = 1500 , ∑xy = 50 and n = 25, then the line of regression of x on y is

Detailed Solution for Test: Probability & Statistics - Question 20

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