An insurance company processes $1000$ claims per year. The average processing time for a claim is $10$ weeks. $40$ percent of all claims received are car insurance claims, $30$ percent of all claims received are motorcycle insurance claims, $15$ percent are boat insurance claims, and the remaining are house insurance claims. On average there are, $30$ car, $15$ motorcycle, $20$ boat, and some house claims in the process. Assume $50$ weeks per year.

CarInssurance.JPG

$1.$ What is the average number of claims that are in the process? The potential answers are:

A: $144$ claims.

B: $360$ claims.

C: $200$ claims.

D: $100$ claims.

E: $60$ claims.

$2.$ How many house insurance claims are in the process? The potential answers are:

A: $44$ claims.

B: $59$ claims.

C: $3$ claims.

D: $138$ claims.

E: $135$ claims.

$3.$ How long, on average, does it take to process a car insurance claim? The potential answers are:

A: $5$ weeks.

B: $3$ weeks.

C: $4\mathrm{.}38$ weeks.

D: $8$ weeks.

E: $3\mathrm{.}75$ weeks.

$4.$ How long, on average, does it take to process a house insurance claim? The potential answers are:

A: $45$ weeks.

B: $6$ weeks.

C: $57\mathrm{.}5$ weeks.

D: $60$ weeks.

E: $41\mathrm{.}6$ weeks.