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1. Let ? be a space of results and B one happening such that probability of B > 0 (P(B) > 0). Prove that for any happening A, we have:
P(A|B) + P(?\ A|B) = 1
2. In a Phone Central, we observe, every minute, if certain phone line is or is not occupied. In this way, it has been told that the probability of certain line is occupied in certain moment, if in the last minute was free, is 30% and the probability of certain line is free if in the last minute was occupied is 25%.
2.1 Identify the space of results of an observation of 2 consecutive minutes.
2.2 Identify the probability of certain line be free if in the last minute was free.
2.3 If certain line is occupied in a certain moment, what is the probability of that line be free in the next minute? Explain.
If we select a crew member at random, what is the probability the crew member earns:
Find the p-value and interpret it. (f ) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain.
Very satisfied customers give the XYZ-Box video game system a rating that is at least 42. In the context of this situation, interpret making a Type I error; interpret making a Type II error.
A fast food chain sells its burgers alone or as part of a "value meal" which includes fries and a drink. They know some customers are health conscious.
Compute the Pearson correlation. Multiply each X value by 2 and compute the Pearson correlation for the modified scores.
Suppose you went to the Bureau of Labor Statistics web site and found several predictors of your salary. State three possible predictors and a simulated multilinear regression equation along with their p-values. What does your p-values tell you ab..
Forecasting: The sales data for the lone star Sports Apparel Company for the last 12 years are as follows: What is the 2001- 2012 compound growth rate?
A test of hypothesis is conducted at the .05 level of significance to test either or not the population correlation is zero.
Bougainvilleas, mean growth rate was 2.23 inches/week and sample standard deviation was 0.77 inches/week. Determine a 90% confidence interval for mean growth rate of all Bougainvilleas.
Both objective and subjective criteria should be used to determine whether a process is in control. Do you agree or disagree?
An investor estimates that there is a 1 in 10 chance that a stock purchase will lose 20% of its value, a 2 in 10 chance it will break even, a 4 in 10 chance it will gain 15% and 3 in 10 chance it will gain 30%. What is the expected return.
Suppose the world series is about to begin. Some people get together and each decide to predict different win-loss patterns for the seven possible games during the coming series.
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