Alison has all her money invested in two mutual funds, a and b. she knows that there is a 40% chance that fund a will rise in price, and a 60% chance that fund b will rise in price given that fund a rises in price. what is the probability that both fund a and b will rise in price?
a. 0.24
b. 0.40
c. 0.76
d. 1.00

Bandar industries berhad of malaysia manufactures sporting equipment. one of the company’s products, a football helmet for the north american market, requires a special plastic. during the quarter ending june 30, the company manufactured 35,000 helmets, using 22,500 kilograms of plastic. the plastic cost the company $171,000. according to the standard cost card, each helmet should require 0.6 kilograms of plastic, at a cost of $8 per kilogram. 1. what is the standard quantity of kilograms of plastic (sq) that is allowed to make 35,000 helmets? 2. what is the standard materials cost allowed (sq x sp) to make 35,000 helmets? 3. what is the materials spending variance? 4. what is the materials price variance and the materials quantity variance?