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Consider throwing 2 usual dice. In each play, we observe the number of dots that stay on top, sum the returned result and to that sum, we apply the rule of casting out nines. For example, if one dice has 6 dots and the other 4 dots, we get a sum of 10 dots, and, casting out nines, we achieve a result of 1.
a) Identify the space of results and the underlined X random variable;
b) How many ways we have to obtain a result of 2, according to the procedure described above?
c) Calculate the value of P(X = 2) and P(X <= 5 | X >= 2) [P -> probability]
d) Calculate the probability function and the probability distribution of X.
A consumer agency has retained an independet testing firm to examine a television manufacturer's claim that its 25-inch console lmodel consumes just 110 watts of electricity.
Dr. Easy saw the scores from the MA-222 test and used the occasion to test the old adage that girls are smarter than boys on subjects tested by ACT.
Why is population shape of concern when estimating a mean? What does sample size have to do with it?
Suppose that 51% of the women who gave birth at a certain hospital last year were over 30 years old, and that 39% were unmarried.
Given that alarm has just sounded, find out the probability that real emergency situation exists?
Your supervisor has asked you to conduct a survey about consumers' buying habits. For this task, you surveyed 100 men and 100 women at a local shopping mall.
Compute the average of the areas. How does this compare with your guess? How does it compare with the averages of the judgment samples for the others in your group?
Sample size of only 20. Find out a 95% confidence level for population Cp.
Suppose that the National Labor Relations Board (NLRB) wishes to estimate the average hourly wage rate for a certain classification of skilled workers. It wishes to be 95% certain to get an estimate of sample mean within 0.05 of the truth.
Thirty minutes later, a police officer measured their Blood Alcohol Content (BAC) in grams of alcohol per deciliter of blood. Estimate the mean BAC that happens thirty minutes after consumption of 7 cans of beer.
A carton of 6 batteries contains 2 that are defective and 4 that are good. If we select 3 batteries at random form this carton, what is the probability that the sample contains exactly 1 defective battery?
Assume that the process is in control and that the population of all jar fills is normally distributed.
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