Ivo Dinov UCLA Statistics, Neurology, LONI, Math/PIC 

STAT 13 (2a, 2b, 2c) 
Introduction to Statistical Methods for the Life and Health Science 
Department of Statistics 
Instructor: Ivo Dinov 
Homework 4 
Due Date: Friday, Oct. 31, 2003 
x  P(X≤x)  x  P(X ≤ x)  x  P(X ≤ x) 
15  0.0000  20  0.0668  25  0.8413 
16  0.0002  21  0.1587  26  0.9332 
17  0.0013  22  0.3085  27  0.9772 
18  0.0062  23  0.5000  28  0.9938 
19  0.0228  24  0.6915  29  0.9987 
P(X ≤ x)  x 
0.1000  6.9596 
0.2500  7.7367 
0.7500  9.4633 
0.9000  10.2404 
(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?
(ii) What can we say about the shape of the distribution of Y?
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