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For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y0 (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.364 for this random variable. (Round your answers to three decimal places.)
(a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals?
(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?
Draw the OC curve. If the average number of defects increased by to 10 per tractor, what would the probability of detecting the shift in a control chart?
Suppose U is a Unit (25, 50) random variable.Find the CDF of U and sketch a graph.
If a random student is chosen what is the probability that he or she scores less than 59? What score indicates that the student has to retake the exam?
Is there evidence to suggest that the process average differs from the target value?
The share of the national car manufcturers market in South Africa is shown in the table below:
Use your calculator to find the mean and standard deviation for the 9 observations that remain when you leave out the outlier. How does the outlier affect the values of x and s? Is s a resistant measure of spread?
Develop a hypothesis, label the independent and dependent variables, discuss what the experimental and control groups are doing in this study, and decide who (and how many) participants are needed. Be sure to discuss random sampling and random ass..
Determine the probability of receiving at most three calls in a five-minute interval of time. Determine the probability of receiving exactly 10 calls in 15 minutes.
To compare the effectiveness of two treatments 1 and 2 for a particular disease. Patients were separated in 2 treatment groups. A patient in group 1 received treatment 1 and patients in group 2 received treatment 2.
An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for:
What are the inequalites that define the region in the first quadrant. How about 2nd, 3rd and 4th quadrants?
a basketball team at a university is composed of ten players. the team is made up of players who playthe position of
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