5. A car travels along a banked road with a constant speed, the mass of the car is m~N(700,5²) kg, and the coefficient of static friction μ_s =0.48. What is the probability that the car will slip?

Solution

Since m follows normal distributions with m~N(700,5²) kg and μ_s =0.48, we have

Thus, the distribution of friction force at A is: .

We construct function Y as

Thus

The probability that the motorcycle might fall is

Ans.