Ivo Dinov UCLA Statistics, Neurology, LONI, UCLA Statistics |
|
STAT 13 (2a, 2b, 2c) |
Introduction to Statistical Methods for the Life and Health Science |
Department of Statistics |
Instructor: Ivo Dinov |
Homework 5 |
Due Date: Wednesday, Nov. 12, 2003 |
x | -$5 | $5 | $10 | $60 |
pr(X=x) | 0.579 | 0.347 | 0.069 | 0.005 |
- What are the values of E[X_bar] and SE[X_bar]?
- What is the approximate distribution of X_bar? What theorem was needed to decide this?
- Calculate the probability of, on average, making a positive return from placing one hundred separate bets with $5 stakes.
- Repeat the calculations above using 1,000, 5,000 and 10,000 bets.
- Create a scatter plot of probability that the mean return from playing Tai Sai is positive (on y-axis) versus number of bets (on x-axis). Comment on what the plot appears to show.
Sexual Content Ads |
n1=53 |
X1_bar=7.9 |
S1=1.82 |
General Audience Ads |
n2=60 |
X2_bar=4.3 |
S2=1.53 |
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