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1) Calculate the MEAN and STANDARD DEVIATION for the distribution below:
X
0
1
2
3
4
P(X)
0.24
0.41
0.26
0.08
0.01
2) In a particular game a person wins $1 if they roll a 2 or a 6 on a regular cube die. The win zero (0) if they roll an off number - they win $10 if they roll a 4. What is the expected value of the roll?
Black Hole Pizza Parlor instructs its cooks to put a "handful" of cheese on each large pizza. A random sample of six such handfuls were weighed.
If we want to estimate the populations mean travel-to-work time San Francisco residents with a margin of error of 1 minute, what sample size should be used? Assume 95 percent confidence.
What is the 95% confidence interval estimate of the mean television viewing time per week during the 8:00 p.m. to 11:00 p.m. time period?
To test whether there is a significant mean difference among the three.
The standard deviation of the population of adult female height scores is 3 inches. A random sample of 50 women yields a mean height of 64 inches. Calculate the standard error of the mean.
Note down a research that requires a decision making with probabilities.
Does the normal distribution yield a good approximation of the actual results?
How closely is the height of an individual related to the weight? Partial regression output for a sample of 92 individuals is below.
For the following scores, find the (A) mean, (B) median, (C) sum of squared deviations, (D) variance, and (E) standard deviation:
Conduct a statistical test to determine if the sample is representative of the population.
In a survey conducted to see how long Americans keep their cars, 2000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow. Find out the probability distribution associated with these data.
We are interested in determining if the accident proportions differ between the two age groups:
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