If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

Two newspapers \( A \) and \( B \) are published in a city. It is known that \( 25 \% \) of the city populations reads \( A \) and \( 20 \% \) reads \( B \) while \( 8 \% \) reads both \( A \) and \( B \). Further, \( 30 \% \) of those who read \( A \) but not \( B \) look into advertisements and \( 40 \% \) of those who read \( B \) but not \( A \) also look into advertisements, while \( 50 \% \) of those who read both \( A \) and \( B \) look into advertisements. Then the percentage of the population who look into advertisement is [JEE (Main) 2019] \( \begin{array}{ll}\text { (a) } 12.8 & \text { (b) } 13.5 \\ \text { (c) } 13.9 & \text { (d) } 13\end{array} \)

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

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 6 find \( P(Z<-1.23) \) 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.