Libre Logistics Ltd$.$ insures against accidents of its motor fleet. The fleet consists of highly specialised, imported refrigerator trucks. Contributing factors to the high value of incidents are the poor conditions of the municipal and provincial roads and the quality of drivers. The following are the records of Libre Logistics Ltd:

Table $1$: Loss experience of the motor fleet over the last five years

Year

No$.$ of vehicles

Average loss per event

No of accidents

Total cost for the year

$1$

$20$

R$1,500,000$

$10$

R$15,000,000$

$2$

$20$

R$2,200,000$

$12$

R$26,400,000$

$3$

$25$

R$1,750,000$

$15$

R$26,250,000$

$4$

$30$

R$2,000,000$

$20$

R$40,000,000$

$5$

$50$

R$3,500,000$

$25$

R$87,500,000$

Table $2$: Quotations under consideration for the insurance of the motor fleet

Quote number

Quoted annual premium

Annual limit for damage to motor fleet

Deductible

$1$

R$15,000,000\mathrm{.}00$

R$60,000,000$

R$0$

$2$

R$10,000,000\mathrm{.}00$

R$30,000,000$

R$25,000$

$3$

R$8,500,000\mathrm{.}00$

R$25,000,000$

R$50,000$

$4$

R$6,000,000\mathrm{.}00$

R$20,000,000$

R$70,000$

$5$

R$5,000,000\mathrm{.}00$

R$10,000,000$

R$100,000$

Question

Calculate the value of q

a$.$

$0,210$

b$.$

$0,320$

c$.$

$0,440$

d$.$

$0,566$