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प्रश्न
The following data gives the marks of 20 students in mathematics (X) and statistics (Y) each out of 10, expressed as (x, y). construct ungrouped frequency distribution considering single number as a class.
Also prepare marginal distributions :
(2, 7) (3, 8) (4, 9) (2, 8) (2, 8) (5, 6) (5 , 7) (4, 9) (3, 8) (4, 8) (2, 9) (3, 8) (4, 8) (5, 6) (4, 7) (4, 7) (4, 6 ) (5, 6) (5, 7 ) (4, 6 )
उत्तर
We can tublate the bi- variate frequency
distribution in a table shown below :
| x → | 2 | 3 | 4 | 5 | Total |
| y↓ | |||||
| 6 | - | - | | | (2) | | | | (3) | 5 |
| 7 | | (1) | - | | | (2) | | | (2) | 5 |
| 8 | | | (2) | | | (3) | | | (2) | - | 7 |
| 9 | | (1) | - | | | (2) | ≠ | 3 |
| Total | 4 | 3 | 8 | 5 | 20 |
Marginal distribution of X :
| X | 2 | 3 | 4 | 5 | Total |
| Frequency | 4 | 3 | 8 | 5 | 20 |
Marginal distribution of y :
| Y | 6 | 7 | 8 | 9 | Total |
| Frequency | 5 | 5 | 7 | 3 | 20 |
संबंधित प्रश्न
Solve the inequation -8 ≤ 3x - 5 < 7 and represent it on the real number line.
If a random variable X follows Poisson distribution sucli that P(X = 1) = P(X = 2), find:
(a) the mean and
(b) P(X = 0). [Given: e-2 = 0.1353)
Co-efficient of correlation between the variables X and Y is 0.3 and their covariance is 12. The variance of X is 9, find the standard deviation of Y.
Compute correlation coefficient for the following data :
| X | 9 | 7 | 6 | 8 | 5 |
| Y | 19 | 17 | 16 | 18 | 15 |
A random variable x has the following probability distribution :
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| P( X = x) | k | 3k | 5k | 7k | 9k | 11k | 13k |
Find k.
X is a continuous random variable with probability density function
f(x) = `x^3/16,` 0 ≤ x ≤ 1
= 0, otherwise
Then, the value of P(0.2 ≤ X ≤ 0.3) is
If the p.m.f of a. r.v. Xis given by
Givenif x = 0, 1, 2, ........ 5 = 0,
0, otherwise,
then which of the following is not true?
A random variable X has following probability distribution
| X = x | 1 | 2 | 3 | 4 | 5 | 6 |
| P(X = x) | K | 3K | 5K | 7K | 8K | K |
Then P(2 ≤ X < 5) = _____.
If the p.d.f. of a continuous random variable X is
f(x) = k (x - x2), 0 < x < 1
= 0, otherwise
then the value of k is ______.
A random variable X has the following has the following:
| X = x | –2 | –1 | 0 | 1 | 2 | 3 | 4 |
| P(X = x) | 6k | 8k | 5k | 4k | 6k | 11k | 7k |
Then, the value of P(–1 < X < 3) is ______.
If the p.d.f of a c.r.v. X is
f(x) = `{:("K.e"^(-thetax)";", theta > 0"," 0 ≤ x < oo),(0";", "otherwise"):}`
Then, K = ______.
