1
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
A product is an assemble of $$5$$ different components. The product can be sequentially assembled in two possible ways. If the $$5$$ components are placed in a box and these are drawn at random from the box, then the probability of getting a correct sequence is
A
$${2 \over {5!}}$$
B
$${2 \over {5}}$$
C
$${2 \over {\left( {5 - 2} \right)!}}$$
D
$${2 \over {\left( {5 - 3} \right)!}}$$
2
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event that a tail occurs on the third toss. Let $$Z$$ be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?
A
$$X$$ and $$Y$$ are not independent
B
$$Y$$ and $$Z$$ are dependent
C
$$Y$$ and $$Z$$ are independent
D
$$X$$ and $$Z$$ are independent
3
GATE PI 2014
Numerical
+2
-0
A simple random sample of $$100$$ observations was taken form a large population. The sample mean and the standard deviation were determined to be $$80$$ and $$12,$$ respectively. The standard error of mean is ______.
Your input ____
4
GATE PI 2014
MCQ (Single Correct Answer)
+2
-0.6
Marks obtained by $$100$$ students in an examination are given in the table GATE PI 2014 Engineering Mathematics - Probability and Statistics Question 5 English

What would be the mean, median, and mode of the marks obtained by the students?

A
Mean $$33;$$ Median $$35;$$ Mode $$40$$
B
Mean $$35;$$ Median $$32.5;$$ Mode $$40$$
C
Mean $$33;$$ Median $$35;$$ Mode $$35$$
D
Mean $$35;$$ Median $$32.5;$$ Mode $$35$$
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