STAT 13

(Sec. 1a-1c)

Introduction to Statistical Methods for the Life and Health Sciences

Instructor: Ivo Dinov, Asst. Prof.

Departments of Statistics & Neurology

http://www.stat.ucla.edu/~dinov/

Due Date:

See the HW submission rules. On the front page include the following header.

HW_3_1

The following table of probabilities was obtained from STATA: Normal with mean = 8.6 and standard deviation = 1.28.

mean

8.6

standard deviation

1.28

(i) What is the least amount of soft serve ice cream that is needed so that the driver can satisfy demand on 90% of afternoons?

Use either STATA or a graphics calculator to solve the following problems where X~Normal(m = 5.1, s = 0.87):

X has a mean of -3 and a standard deviation of 5 and W has a mean of 5 and a standard deviation of 3. Let X and W be independent random variables and let Y = 3X - 3W.

(i) What are the mean and standard deviation of Y?

(ii) What can we say about the shape of the distribution of Y?

\Ivo D. Dinov, Ph.D., Departments of Statistics and Neurology, UCLA School of Medicine/