Please answer all parts quickly. Thank you!
Airlines cannot compete on price without reducing their cost and overheads. One of the primary cost factors for airlines is the operational cost. It has been reported that a small airline's average operating cost of a C-series jet airliner is $2,050 per hour.
a) Suppose the operating cost of a C-series jet airliner is normally distributed with a standard deviation of $150 per hour. What is the probability that the operating cost of a C-series jet airliner is as high as $2,180 per hour and as low as $1,825 per hour?
b) Suppose we were analyzing another jet. The operating costs of D-series jetliners are normally distributed. The average operating cost of a D-series jet airliner is $2,050 per hour. If 0.58% of the operating costs of all D-series jet airliners are greater than $2,301 per hour, what is the population standard deviation?
c) This airline also reported that the maintenance cost of a C-series jet airliner is uniformly distributed between $1,300 and $2,000 per hour. What is the probability that the maintenance cost of a C-series jet airliner is at least $1,825 per hour?
d) Which of the following statements does/do not represent the density function of a uniform random variable?
Statement 1: f(y) = 1/4 for y between -2 and 2, inclusive.
Statement 2: The values of f(y) are different for various values of the random variable Y.
Statement 3: f(y) = 20 for y between 0 and 1/20, inclusive.
Statement 4: f(y) = 1/6 for y = 5, 7, 8.