An insurance company offers its policyholders a number of different premium payment options. for a randomly selected policyholder, let x = the number of months between successive payments. the cdf of x is as follows: f(x) = 0 x < 1 0.32 1 ≤ x < 3 0.42 3 ≤ x < 4 0.47 4 ≤ x < 6 0.78 6 ≤ x < 12 1 12 ≤ x (a) what is the pmf of x? x 1 3 4 6 12 p(x) (b) using just the cdf, compute p(3 ≤ x ≤ 6) and p(4 ≤ x). p(3 ≤ x ≤ 6) = p(4 ≤ x) =

Match the situations that will develop one's personality and those that won't peter is surrounded by friends who are always encouraging him jonathan always watches television when he wants to take a break from his books libby sets small targets for herself and strives to achieve them. the smiths indulge in an animated discussion on varied topics every evening after dinner. brook loves junk food and exercises once in a while. develops your personality develops doesn't develop your personality

Emery pharmaceutical uses an unstable chemical compound that must be kept in an environment where both temperature and humidity can be controlled. emery uses 825 pounds per month of the chemical, estimates the holding cost to be 50% of the purchase price (because of spoilage), and estimates order costs to be $48 per order. the cost schedules of two suppliers are as follows: vendor 1 vendor 2 quantity price/lb quantity price/lb 1-499 $17 1-399 $17.10 500-999 $16.75 400-799 $16.85 1000+ $16.50 800-1199 $16.60 1200+ $16.25 (a) what is the economic order quantity for each supplier? (b) what quantity should be ordered and which supplier should be used? (c) the total cost for the most economic order sire is $

The owner of firewood to go is considering buying a hydraulic wood splitter which sells for $50,000. he figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. if, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is expected to be 32 cords per day, what would be its efficiency?