Q100 / 150 · MHT CET 2024 (09 May Shift 2) · Mathematics

A service station manager sells gas at an average of ₹ 100 per hour on a rainy day, ₹ 150 per hour on a dubious day, ₹ 250 per hour on a fair day and ₹ 300 on a clear sky. If weather bureau statistics show the probabilities of weather as follows, then his mathematical expectation is Figure

  • A
    257.5
  • Correct answer
    B
    252.5
  • C
    250
  • D
    247.5

Solution

Mathematical expectation $\begin{aligned} & =3.00(0.50)+250(0.30)+150(0.15) \\ & =150+75+22.5+5 \\ & =252.5 \end{aligned}$

Hence, the correct answer is option: 'B'.

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