1
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The probability of obtaining at least two $$'SIX'$$ in throwing a fair dice $$4$$ times is
A
$$425/432$$
B
$$19/144$$
C
$$13/144$$
D
$$125/432$$
2
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $$1/6$$ and that of Ramesh is $$1/8$$. What is the probability that only one of them will be selected?
A
$$47/48$$
B
$$1/4$$
C
$$13/48$$
D
$$35/48$$
3
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance? GATE ME 2015 Set 1 Engineering Mathematics - Probability and Statistics Question 9 English
A
$${\rm I}$$
B
$${\rm I}$$$${\rm I}$$
C
$${\rm I}$$$${\rm I}$$$${\rm I}$$
D
$${\rm I}$$$$V$$
4
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Find the solution of $${{{d^2}y} \over {d{x^2}}} = y$$ which passes through origin and the point $$\left( {ln2,{3 \over 4}} \right)$$
A
$$y = {1 \over 2}{e^x} - {e^{ - x}}$$
B
$${1 \over 2}\left( {{e^x} + {e^{ - x}}} \right)$$
C
$$y = {1 \over 2}\left( {{e^x} - {e^{ - x}}} \right)$$
D
$${1 \over 2}{e^x} + {e^{ - x}}$$
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