CNNBC recently reported that the mean annual cost of auto insurance is 1003 dollars. Assume the standard deviation is 282 dollars, and the cost is normally distributed. You take a simple random
sample of 38 auto insurance policies. Round your answers to 4 decimal places.
a. What is the distribution of X? X-N( 1003 282 OOM
b. What is the distribution of X? X-NC 1003 45.746)
c. What is the probability that one randomly selected auto insurance is more than $959?
d. a simple random sample of 38 auto insurance policies, find the probability that the average
cost is more than $959.

X2 + y 2 = 36 x + y = 6 solve the system of equations.

What is the volume of a cone with a height of 6 cm in the radius of 2 cm

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.