GATE 2019: Engineering Mathematics Quiz-10

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Question 1

A company has two machine I and II which produces exactly equal number of products in 24 hours. The cost associated with both the machines are similar.
Given their probability density:
I:

II:

Which machine should the company prefer?

• AI
• BII
• CBoth I and II
• DData insufficient

Question 2

If a discrete random variable X has the following probability distribution, then the standard deviation is

• A0.5
• B1
• C1.41
• D2

Question 3

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is

• A1/20
• B1/12
• C3/10
• D1/2

Question 4

The probability of obtaining at least two “SIX” in throwing a fair dice 4 times is

• A425/432
• B19/144
• C13/144
• D125/432

Question 5

An unbiased coin is tossed three times. The probability that the head turns up in exactly two cases is

• A1/9
• B1/8
• C2/3
• D3/8

Question 6

In an experiment with 15 observations on x, the following results we available

One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is ________.

• A78
• B366
• C144
• D222

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