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Exercise

Formula 1 engines

Suppose that two manufacturers, A and B, supply the engines for Formula 1 racing cars, with the following characteristics:

  • 99% of the engines from factory A last more than 5,000 km.
  • Factory B manufactures engines that last more than 5,000 km with 95% probability.
  • 70% of the engines are from manufacturer A, and the rest are produced by manufacturer B.

What is the chance that an engine will last more than 5,000 km?

Instructions
100 XP
  • Calculate the following probabilities:
    • The manufacturer is A (P_A).
    • The engine lasts more than 5,000 km given that manufacturer is A (P_last5000_g_A).
    • The manufacturer is B (P_B).
    • The engine lasts more than 5,000 km given that manufacturer is B (P_last5000_g_B).
  • Use the total probability law to calculate the probability that the engine will last more than 5,000 km and store the result into P_last_5000.