Normal Distribution

Applications of Normal Distribution

1. A small publisher wishes to publish self-improvement books. After a survey of the market, the publisher finds that the average cost of the type of the book that she wishes to publish is $12.80. If she wants to wants to price her books to sell in the middle 70% range, what should the maximum and minimum prices of the books be? The standard deviation is $0.83 and the variable is normally distributed.

2. A special enrichment program in mathematics is to be offered to the top 12% of the students in a school district. A standardized mathematics achievement given to all students has a mean of 57.3 and a standard deviation of 16. Find the cutoff score. Assume the variable is normally distributed.

3. A pet-shop owner decides to sell tropical fish that will appeal to the middle 60% of customers. The owner reads in the study that the mean price of tropical fish sold is $9.52, with a standard deviation of $1.02. Find the maximum and minimum prices of tropical fish the owner should sell. Assume the variable is normally distributed.

By: Patrick Anthony M. Alcantara