An insurance company divides its clients into three classes R1, R2 and R3: good risks, average risks and bad risks. The numbers in these three classes represent 20% of the total population for class R1, 50% for class R2, and 30% for class R3. The statistics indicate that the probabilities of having an accident during the year for a person in one of these three classes are respectively 0.05, 0.15 and 0.30.

Q8) The probabilities of having an accident during the year according to the three risk classes 0.05, 0.15 and 0.3 are :

- joint probabilities

- marginal probabilities

- conditional probabilities

- none of the above probabilities

Q9) 5 new clients who belong to the bad risk class were taken at random. The probability that none of them will have an accident during the year is :

- Less than 15%.

- between 15% and 17

- Between 17% and 19%.

- 19% or more

Q10) For a new client taken at random, the probability of having an accident during the year is :

- less than 15%

- between 15% and 17

- Between 17% and 19%.

- 19% or more

Q11) Mr. Martin has not had an accident this year. The probability that he is a good risk is :

- less than 20%

- Between 20% and 22%.

- Between 22% and 24%.

- 24% or more

Q12) If the company has classified a client as a medium or bad risk, the probability of the client having an accident during the year is :

-less than 20%

- Between 20% and 22%.

- between 22% and 24

- 24% or more

Q13) Let be the two events (R1): "A client belongs to the good risk class" and (A): "A client had an accident during the year". Which of the following statements is true?

- R1 and A are independent

- R1 and A are mutually exclusive

- R1 and A are collectively exhaustive

- None of the above is true