# Thread: Normal Distribution

1. ## Normal Distribution

Adult height has a normal distribution in human Canadian females. The mean is 5 feet and 6 inches. The standard deviation is 3 inches. What is the probability that you randomly select 13 individuals and obtain a set with each height from 5 foot to 6 foot represented (5 feet, 0 inches; 5 feet, 1 inch; 5 feet, 2 inches, … 5 feet, 11 inches, 6 feet, 0 inches)?

2. ## Re: Normal Distribution

Originally Posted by problem
Adult height has a normal distribution in human Canadian females. The mean is 5 feet and 6 inches. The standard deviation is 3 inches. What is the probability that you randomly select 13 individuals and obtain a set with each height from 5 foot to 6 foot represented (5 feet, 0 inches; 5 feet, 1 inch; 5 feet, 2 inches, … 5 feet, 11 inches, 6 feet, 0 inches)?
That is incoherent, the normal distribution is a continuous distribution.

If what you mean is that in a sample of 13 there is at least one between 5' 5.5", and 5' 6.5", and at least one between 5' 6.5", and 5' 7.5" ... and at least one between 5' 11.5", and 6' 0.5" that would be a different matter (and a different question).

CB