An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. The company's statistics show that an accident-prone person will have an accident at some time within a fixed 1-year period with probability 0.4, whereas this probability decreases to 0.2 for a person who is not accident prone.

1. If we assume that 30 percent of the population is accident prone, what is the probability that a new policyholder will have an accident within a year of purchasing a policy?

(a) 0.26

(b) 0.27

(c) 0.28

(d) 0.29

2. Given that a new policyholder has an accident within a year of purchasing a policy. What is the probability that she is accident prone?

(a) 4/13

(b) 5/13

(c) 6/13

(d) 7/13

Step-by-step explanation:

From the given information we can consolidate the given particulars as follows:

People          Accident prone            Not accident prone

  100                     30                                    70

  Prob for

accident              0.4                                   0.2

Joint persons       12                                     14                  Total = 26

1) Probability for a new policy holder to have accident=

Prob he is accident prone and meets with accident + prob he is not accident prone but meets with accident

= 0.26

a is right

2) Given he has an accident

Prob she is accident prone = Prob accident prone and accident / 0.26

= 0.12/0.26 = 6/13

Option c

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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