Insurance Company is deciding whether to insure the lives of those leading a quest to Moria. Based on past experience, the probability of surviving such a quest is 99.9%. If it charges a premium of 5,852 silver coins and would pay a death benefit of 67,329 silver coins if the insured were to die, what is the expected value of this insurance policy to the insurance company?

5779 silver coins

Step-by-step explanation:

The probability of surviving such a quest is 99.9% with premium of 5,852 silver coins.

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 67,329 silver coins.

The probability that the insured would die = 100%-99.9% =0.1%

Therefore, the expected value of this insurance policy to the insurance company

The expected value of this insurance policy to the insurance company is  5779 silver coins.

The LCM is 288.

Step-by-step explanation:

To find the least common multiple of 18 and 32, you will find the multiples of 18 and 32 and look for least multiple number that matches 18 and 32.

Multiples of 18 are:    18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288

Multiples of 32 are:  32, 64,96,128, 160,192,224, 256, 288

The last digit 288 is the least multiple number that appears in both multiples for the two numbers.