Test: Probability & Statistics - Electronics and Communication Engineering (ECE) MCQ

The mode of the following frequency distribution, is

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

The mean deviation of the following distribution is

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

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

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

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

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

If ∑x_i = 24, ∑y_i = 44, ∑x_iy_i =  306,  ∑x_i² =164 ,∑y_i² = 574 and n = 4 then the regression coefficient b_xy  is equal to 

If ∑x_i = 30, ∑y_i = 42, ∑x_iy_i =  199 , ∑x_i² =184 ,∑y_i² = 318 and n = 6 then the regression coefficient b_xy  is equal to

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

Which one of the following is a true statement

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

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

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

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

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