Help Please Purchasing discount points is a decision which can be financially justified or not justified. Create a unique example where purchasing discount points is justified, solve the problem, and explain why the decision is justified. Your example should include the following: principal amount being financed, number of discount points, interest rates with and without points, and the monthly payment amounts with and without points.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

12 out of 30 people chose their favourite colour as blue caculate the angle you would use for blue on a pie chart

The random variable x is defined as the number marking the sector in which the arrow lands when the spinner in the diagram is spun once.