$A$ 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 ₹ $300$ per hour on a clear sky day. If weather bureau statistics show the probabilities of weather as follows,then his mathematical expectation is:
Weather Clear Fair Dubious Rainy Probability $0.50$ $0.30$ $0.15$ $0.05$
| Weather | Clear | Fair | Dubious | Rainy |
| Probability | $0.50$ | $0.30$ | $0.15$ | $0.05$ |
- A$257.5$
- B$252.5$
- C$250$
- D$247.5$
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