An insurance company gathered data on the payouts it had to make over the previous year. It needs to pay out $20,000 if a policyholder dies, $10,000 if a policyholder gets disabled, and $0 if the policyholder survives the year unharmed. Let X be the amount of money the company will have to payout to a policyholder this year. The table below is the distribution for X. x n 0 10000 20000
p n 0.98 0.015 0.005
50 people are now policyholders. The company should save
dollars to offset the anticipated payout costs for these 50 people.

Atrucker had a load of grain containing 2 tons. she unloaded 1 ton and 1,200 pounds at the warehouse. how much grain does she still have left on the truck?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.