Question

Из районного центра в деревню ежедневно ходит автобус.Вероятность того что в понедельник в автобусе окажется меньше 18 пассажиров ,равна 0,85 Вероятность того, что окажется меньше 13 пассажиров, равна 0,49.Найдите вероятность того,Что число пассажиров будет от 13 до 17.

Answer 1

Событие А-в автобусе меньше 18 пассажиров
Событие В-в автобусе меньше 13 пассажиров
Событие С-в автобусе от 13 до 17 пассажиров
По условию Р(А)=0,85, Р(В)=0,49. А и В независимые события. Значит, вероятность того, что пассажиров будет от 13 до 17, равна Р(С)=Р(А)-Р(В)=0,85-0,49=0,36
Ответ: 0,36

Answer 2

Probability of the Number of Passengers in the Bus

To find the probability that the number of passengers in the bus will be between 13 and 17, we can subtract the probability of having fewer than 13 passengers from the probability of having fewer than 18 passengers.

The probability of having fewer than 18 passengers in the bus is given as 0.85, and the probability of having fewer than 13 passengers is given as 0.49

To find the probability of having between 13 and 17 passengers, we subtract the probability of having fewer than 13 passengers from the probability of having fewer than 18 passengers:

Probability of having between 13 and 17 passengers = Probability of having fewer than 18 passengers - Probability of having fewer than 13 passengers

Probability of having between 13 and 17 passengers = 0.85 - 0.49

Therefore, the probability of having between 13 and 17 passengers in the bus is 0.36.

Please note that the information provided in the question does not specify whether the probability distribution is continuous or discrete. The assumption made here is that the distribution is continuous.