The GATE Grind

GATE 2021 AG – Question 8

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Temperature X is continuous on[0,100]°C with density $f(x)=.01$ for 0≤x≤100. Find its mean.

  1. 2.5
  2. 5.0
  3. 25.0
  4. 50.0

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (D) 50.0

Explanation

This is uniform on[0,100]. Its mean is the interval midpoint50. Alternatively $E[X]=\int_0^{100}.01x\,dx=.005(100)^2=\mathbf{50.0}$°C. Therefore **D**. The density integrates to one over the stated interval.

More Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions

All Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions →