Задание 1 Футбольная команда "Квадратный круг"состоит из 11 игроков, включая вратаря. Какое утверждение является верным? 1) Хотя бы два игрока команды родились в один день недели. 2) Хотя бы два игрока команды родились в понедельник. 3) Вратарь и один из полевых игроков родились в один день недели.

Question 6 find \( P(Z<-1.23) \) Add your answer Integer, decimal, or E notation allowed

Question 1 For some computers, the time period between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. Rohan has one of these computers and needs to know the probability that the time period will be between 50 and 70 hours. Add your answer Integer, decimal, or E notation allowed

Assuming that the number of accidents that occur in a certain company in a week has a Poisson distribution with a standard deviation of 1.4 . Determine: a) the mean number of accidents that occur in a week b) the probability that in a week, there are no accidents.

b) Passengers arrived randomly at the ABC bus station at a rate of FOUR (4) passengers per hour. Let X be the number of passengers arrived at the ABC bus station. i. Identify the type of probability distribution of \( X \). Find the probability that at most TEN (10) passengers arrived at the ABC bus station during any 60 minutes period of time. Interpret the value. What is the chances (in percentage) that exactly SEVEN (7) passengers arrived iii. at the ABC bus station during any 90 minutes period of time? (3 marks)

Question 2 The speeds of cars are measured using a radar unit, on a motorway. The speeds are normally distributed with a mean of \( 90 \mathrm{~km} / \mathrm{hr} \) and a standard deviation of \( 10 \mathrm{~km} / \mathrm{hr} \). What is the probability that a car selected at chance moves at more than \( 100 \mathrm{~km} / \mathrm{hr} \) ? Add your answer Integer, decimal, or E notation allowed