4. An insurance company believes that people can be divided into two classes - those are accident-prone and those are not.Their statistics show that an accident-prone person will have an accident at some time within a fixed I-year period withprobability 0.5, whereas this probability decreases to 0.4 for a non-accident-prone person. If we assume that 40% of thepcpulation is accident-prone, what is the probability that a new policy holder will have an accident within a year ofpurchasing this policy?
(A)0.44
(B) 0.45
(C) 0.46
(D) 0.47