Elementary Statistics - Probability - General Aptitude (GA) Previous Year Questions

1

2012 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2012

Two independent random variables X and Y are uniformly distributed in the interval [-1, 1]. The probability that max{X, Y} is less than 1/2 is

A

3/4

B

9/16

C

1/4

D

2/3

Open complete paper

2

2012 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2012

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is

A

1/3

B

1/2

C

2/3

D

3/4

Open complete paper

3

2014 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2014

In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.

Check answer

Open complete paper

4

2014 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2014

10% of the population in a town is HIV+. A new diagnostic kit for HIV detection is available. This kit correctly identifies HIV+ individuals 95% of the time, and HIV- individuals 89% of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is ______

Check answer

Open complete paper

5

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2015

Question Number : 10 Question Type : MCQ
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

Open complete paper

6

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2015

The probability that a thermistor randomly picked up from a production unit is defective is 0.1. The probability that out of 10 thermistors randomly picked up, 3 are defective is

A

0.001

B

0.057

C

0.107

D

0.3

Open complete paper

7

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2015

The probability density function of a random variable $X$ is $p_X(x) = e^{-x}$ for $x \geq 0$ and 0 otherwise. The expected value of the function $g_X(x) = e^{3x/4}$ is __________.

Check answer

Open complete paper

8

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2015

The current in amperes through the resistor R in the circuit shown in the figure is __________ A.

Check answer

Open complete paper

9

2022 · General Aptitude (GA) · Probability · Elementary Statistics

Instrumentation Engineering (IN) 2022

A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown.
Two such disks are used in a game where their arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?

A

\(\frac{1}{16}\)

B

\(\frac{5}{64}\)

C

\(\frac{3}{32}\)

D

\(\frac{7}{64}\)

Open complete paper