National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers Previous Year Questions

The value of the Kolmogorov-Smirnov statistic to test whether the observations 0·32, 0·16, 0·98, 0·16 and 0·08 arise from a U(0, 2) population is

Leela has appeared in an examination which follows multiple choice questions, each having five possible answers. The probability that she knows an answer is 0·75. If she does not know an answer, she will guess, with the conditional probability \( 1/5 \) of being correct. The conditional probability that Leela knows the answer, given that she gives the correct answer, is

Directions for the following 10 (ten) items : Each of the following items in this section has a sentence with a blank space and four words or groups of words given after the sentence. Select whichever word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly. I ________ you to be at the party this evening.

Directions for the following 10 (ten) items: Each question in this section has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter i.e., (a) or (b) or (c). If you find no error, your response should be indicated as (d). My friend was habitual to drive a car at very high speed. No error.

Suppose the probability mass function of a random variable X under the parameter = 0 and = 1, 1 0 0 is given by | X | 0 | 1 | 2 | 3 | | p0(x) | 0 | 0 | 00 | 05 | | p1(x) | 0 | 0 | 00 | 00 | Define a test function 8 such that 8(x) = {1, if x = 0, 1 0, if x = 2, 3 For testing H0 : = 0 against H1 : = 1 the test 8 is

Consider the following for the next three (03) items that follow : Let the joint p.d.f. of X and Y be f(x, y) = {6 (1 - x - y), x > 0, y > 0, x + y < 1 0, otherwise. What is the value of E(XY) ?