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Test: Probability & Statistics- 1 - Question 1

A fair dice is rolled twice. The probability that an odd number will follow an even number is

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Test: Probability & Statistics- 1 - Question 2

Three companies X, Y and Z supply computers to a university. The percentage of computers supplied by them and the probability of those being defective are tabulated below

Given that a computer is defective, the probability that it was supplied by Y is

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Test: Probability & Statistics- 1 - Question 3

An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is

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Test: Probability & Statistics- 1 - Question 4

A fair coin is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads?

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Test: Probability & Statistics- 1 - Question 5

Consider the continuous random variable with probability density function

The standard deviation of the random variables is

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Test: Probability & Statistics- 1 - Question 6

The probability that two friends share the same birth-month is

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Test: Probability & Statistics- 1 - Question 7

A box contains 5 block balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is

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Test: Probability & Statistics- 1 - Question 8

Two dice are thrown. What is the probability that is the sum of the numbers on the two dice is eight?

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Test: Probability & Statistics- 1 - Question 9

Arrivals at a telephone booth are considered to be poison, with an average time of 10 minutes between successive arrivals. The length of a phone call is distributes exponentially with mean 3 minutes. The probability that an arrival does not have to wait before service is

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Test: Probability & Statistics- 1 - Question 10

A box contains 5 black and 5 red balls. Two balls are randomly picked one after another from the box, without replacement. The probability for both balls being red is

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Test: Probability & Statistics- 1 - Question 11

A lot has 10% defective items. Ten items are chosen randomly from this lot. The probability that exactly 2 of the chosen items are defective is

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Test: Probability & Statistics- 1 - Question 12

A box contains 20 defective items and 80 non-defective items. If two items are selected at random without replacement, what will be the probability that both items are defective?

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Test: Probability & Statistics- 1 - Question 13

If three coins are tossed simultaneously, the probability of getting at least one head is

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Test: Probability & Statistics- 1 - Question 14

If 20 per cent managers are technocrats, the probability that a random committee of 5 managers consists of exactly 2 technocrats is

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Test: Probability & Statistics- 1 - Question 15

Four arbitrary point (x1,y1), (x2,y2), (x3,y3), (x4,y4), are given in the x, y – plane Using the method of least squares, if, regressing y upon x gives the fitted line y = ax + b; and regressing y upon x given the fitted line y = ax + b; and regressing x upon y gives the fitted line x = cy + d then

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Test: Probability & Statistics- 1 - Question 16

Chebyshev’s inequality states that the probability of a “Six Sigma” event is less than :

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Test: Probability & Statistics- 1 - Question 17

Three values of x and y are to be fitted in a straight line in the form y = a + bx by the method of least squares. GivenΣx = 6, Σy = 21, Σx^{2} = 14 and Σxy = 46, the values of a and b are respectively.

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Test: Probability & Statistics- 1 - Question 18

A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with replacement. The probability that none of the two screws is defective will be

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Test: Probability & Statistics- 1 - Question 19

Which one of the following statements is NOT true?

Test: Probability & Statistics- 1 - Question 20

If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is

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