STA301 Solved 1000 MCQs Current Paper Quizzes

STA301- MCQs:

Q21. If (1 marks)

P X  P X  P X  and 3) P X 

Then find F (1)

Q22. Write down the formula of mathematical expectation. (2 marks)

e=(w * p) + (-v *1). e

Q23. Discuss the statistical independence of two discrete random variables: (3 marks)

Q24. For given data calculate the mean and standard deviation of sampling distribution of mean if the sampling is down without replacement. (3 marks)

1000, 25, 68.5, 2.7 N n

Q25. Elaborate the Least Significant Difference (LSD) Test. (3 marks)

Q26. State the Bayes’ Theorem. (3 marks)

Q27. The means and variances of the weekly incomes in rupees of two samples of workers are given in the following table, the samples being randomly drawn from two different factories: (5 marks)

Calculate the 90% confidence interval for the real difference in the incomes of the workers from the two factories.

Q28. From the (5 marks)

given data 1340, 723, .54 n x p and 0.5 0.5 H P against H P

Carry out the significance test for the stated hypothesis.

Q29. Given the Probability density function (5 marks)

Compute the distribution function F(x).

Q30. f(x,y) (10 marks)

(6 – x – y), 0 x 2; 2 y 4,

0, elsewhere

a) Verify that f(x,y) is a joint density function.

b) Calculate Y X P

Q31. Factory (10 marks)

Sample Size · Mean · Variance

A 12.80 B 11.25

elsewhere x for x f x ,0 Let X X X be a random sample of size 3 from a population with mean and variance Consider the following two estimators of the mean

X X X T

X X X T

Which estimator should be preferred?

Q1. For a particular data the value of Pearson’s coefficient of skewness is greater then zero. What will be the shape of distribution? (1 marks)

1. Negatively skewed
2. J-shaped
3. Symmetrical
4. Positively skewed

Correct answer: Negatively skewed

Q2. In measures of relative dispersion unit of measurement is: (1 marks)

1. Changed
2. Vanish
3. Does not changed
4. Dependent

Correct answer: Changed

Q3. The F- distribution always ranges from: (1 marks)

1. 0 to 1
2. 0 to -∞
3. -∞ to +∞
4. 0 to +∞

Correct answer: 0 to +∞