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

1

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

Ecology and Evolution (EY) 2015

Maximum heterozygosity (in decimal notation, not in fractions or percentage) at a neutral locus with two alleles, given random mating, is ________

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2

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

Ecology and Evolution (EY) 2015

A predator encounters a group of 10 prey and kills one of them to feed. The probability of getting killed is the same for all prey individuals. The probability that a given prey is killed by the predator is ________

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3

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

Ecology and Evolution (EY) 2015

Flower colour in a plant is governed by a gene with two alleles (A1 and A2). The genotypes A1A1, A2A2 and A1A2 produce red, white and pink flowers, respectively. The frequency of white flowers in a population is 0.16. In an experiment, if only the plants with pink flowers are selfed, then the resulting ratio of red:pink:white phenotypes in the next generation is expected to be

A

3:2:1

B

2:2:1

C

1:2:1

D

1:1:1

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4

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

Ecology and Evolution (EY) 2015

Assuming that the chance of a male or female being born is equal, the probability (in decimal notation, not in fractions or percentage) that three out of four offspring born are female is ______

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5

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

Ecology and Evolution (EY) 2015

An animal starts moving from point O as shown in the diagram below. At every junction marked by a thick circle, it has an equal probability of choosing any of the paths that takes it northwards.

The probability (in decimal notation, not as fraction or percentage) that the animal will reach point B is _____

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6

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

Ecology and Evolution (EY) 2015

The DNA sequence -AAAAAAAAAAAA- undergoes substitutions at the rate of one change every day. Assuming that all base changes are equally probable, the MOST LIKELY composition of this 12 base pair sequence at the end of ten years will be

A

A=0.25 T=0.25 G=0.25 C=0.25

B

A=0.75 T=0.15 G=0.05 C=0.05

C

A=0.70 T=0.10 G=0.10 C=0.10

D

A=0.40 T=0.40 G=0.10 C=0.10

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7

2021 · General Aptitude (GA) · Probability · Elementary Statistics

Ecology and Evolution (EY) 2021

Let \(X\) be a continuous random variable denoting the temperature measured. The range of temperature is \([0, 100]\) degree Celsius and let the probability density function of \(X\) be \(f(x) = 0.01\) for \(0 \leq X \leq 100\).
The mean of \(X\) is ______

A

2.5

B

5.0

C

25.0

D

50.0

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8

2017 · General Aptitude (GA) · Probability · Elementary Statistics

Ecology and Evolution (EY) 2017

In a population, the frequency of genotypes at a locus are A₁A₁ = 0.16, A₁A₂ = 0.48, A₂A₂ = 0.36. The probability of fixation of the A₁ allele by genetic drift is ______________.

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9

2017 · General Aptitude (GA) · Probability · Elementary Statistics

Ecology and Evolution (EY) 2017

An experimentalist rejects a null hypothesis because she finds a \(p\)-value to be 0.01. This implies that :

A

There is a 1% chance that the alternative hypothesis explains the data

B

There is a 1% chance that the null hypothesis explains the data

C

There is a 99% chance that the alternative hypothesis explains the data

D

There is a 99% chance that the null hypothesis explains the data

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10

2017 · General Aptitude (GA) · Probability · Elementary Statistics

Ecology and Evolution (EY) 2017

Which of the following graphs best represents the function given by the following equation : \[ f(x) = \frac{1}{\alpha} e^{-\frac{|x|}{\alpha}} \]

A

B

C

D

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11

2026 · General Aptitude (GA) · Probability · Elementary Statistics

Ecology and Evolution (EY) 2026

A day can only be cloudy or sunny. The probability of a day being cloudy is 0.5, independent of the condition on other days. What is the probability that in any given four days, there will be three cloudy days and one sunny day?

A

1/4

B

3/4

C

2/3

D

3/8

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12

2026 · General Aptitude (GA) · Probability · Elementary Statistics

Ecology and Evolution (EY) 2026

An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the sum of the two recorded numbers is a prime number is _____

A

3/36

B

13/36

C

15/36

D

19/36

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