代做FIN5001 Quantitative Methods for Finance (Pre-term, 2024)帮做Python语言

FIN5001

Quantitative Methods for Finance (Pre-term, 2024)

HW01

1. What is the probability that a random variable having a standard normal distribution is between .87 and 1.28?

2. The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly: Less than 4.66 hours?

3. If the mileage per gallon for a car is normally distributed, 32 mpg has a z-score of 1.2, and 24 mpg has a z-score of -.4, what is the mean mpg of the distribution?

4. A random sample of size 30 is taken from a population with mean 50 and standard deviation 5. Find P(X< 51.5).

5. A bank is interested in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years. A random sample of 20 defaulted loans yielded a mean of $67,918 with a standard deviation of $16,552.40. Calculate a 90% confidence interval for the mean balance of defaulted loans over the past three years.

6. The city highway department is studying traffic patterns on one of the busiest highways in the city. As part of the study, the department needs to estimate the average number of vehicles that pass an intersection each day. A random sample of 64 days gives us a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. What is the 92% confidence interval estimate of μ, the mean number of cars passing the intersection?