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MHT CET20249 May 2024Evening ShiftMathematicsProbabilityActual

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

Options

  1. A257.5
  2. B252.5
  3. C250
  4. D247.5

Correct answer

B. 252.5

Step-by-step solution

Mathematical expectation aligned & =3.00(0.50)+250(0.30)+150(0.15) & =150+75+22.5+5 & =252.5 aligned

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