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1. Consider a random experiment of tossing a coin three times.
(a) Find the sample space S1if we wish to observe the exact sequences of heads and tails obtained.
(b) Find the sample space S2 if we wish to observe the number of heads in the three tosses.
2. Consider an experiment of drawing two cards at random from a bag containing four cards marked with the integers 1 through 4.
(a) Find the sample space S1 of the experiment if the first card is replaced before the second is drawn.
(b) Find the sample space S2 of the experiment if the first card is not replaced.
3. An experiment consists of rolling a die until a 6 is obtained.
(a) Find the sample space S1 if we are interested in all possibilities.
(b) Find the sample space S2 if we are interested in the number of throws needed to get a 6.
Assuming an exponential service rate μ, set this up as a birth and death process and determine the birth and death rates.
Among 500 freshmen pursuing a business degree at a university, 347 are enrolled in an economics course, 247 are enrolled in a mathematics course, and 120 are enrolled in both an economics and a mathematics course. What is the probability that a..
Forty percent of the time, sales are more than 470,000 and 10 percent of the time, sales are more than 500,000. What is the mean and standard deviation of the distribution?
If the researcher used an independent-measures design, then how many individuals were needed for the study and what are the df values for the F ratio?
Evaluate the mean, the median, and the mode of the salaries. Which best describes a typical salary and Evaluate the range, variance, and standard deviation of the data set. Interpret the results in the context of the real-life setting.
My son plays for the Hooks and his average is .333. Therefore I am going to assume the probability of him getting a hit is .333 for each time he bats. In a recent game he batted three times.
The manager requires the estimate to be within 1.0 minutes of the population value. What sample size is needed?
As the correlation coefficient increases from 0.85 to 0.88, do the points of the scatter plot move toward the regression line, or away from it?
Prostate cancer are actually proven correct through subsequent biopsy. JBGHI demands a sample large enough to ensure an error of ± 2% with 90% confidence. What is the necessary sample size?
Valley Fruit Products Company has contracted with apple growers in Ohio, Pennsylvania, and New York to purchase apples that the company then ships to its plants in Indiana and Georgia
define the terms parameter and statistic be sure that the concepts of population and sample are included in the
Take your data and arrange it in the order you collected it. Count the total number of observations you have, and label this number N. Then create another set of data starting from one and increasing by one until you reach N.
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