Question: 1. Lifetime of an inexpensive video card for a PC, in months, denoted by the random variable X, is gamma distributed with ß = 4 and θ = 1/16. What is the probability that the card will last for at least 2 years?
2. Demand for an item follows normal distribution with a mean of 50 units and a standard deviation of 7 units. Determine the probabilities of demand exceeding 45, 55, and 65 units.