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Question: 1. Find the probabilities pr that in a sample of r random digits no two are equal. Estimate the numerical value of P10, using Stirling's formula.
2. What is the probability that among k random digits
(a) 0 does not appear;
(b) 1 does not appear;
(c) neither 0 nor 1 appears;
(d) at least one of the two digits 0 and 1 does not appear? Let A and B represent the events in (a) and (b). Express the other events in terms of A and B.
WidgeCorp is considering branching out into cold beverages. You have been asked to come up with a regression model to forecast monthly sales of cold beverages for the next year. Think about what variables you might include in your model.
A company s records indicate that on any given day about 1% of their day-shift employees and 2% of the night-shift employees will miss work- Is absenteeism independent of shift worked? Explain.
a. What is the complement to this event and what is its probability? b. What is the probability that he hits the target with only one of two arrows shot?
What are the characteristics of a normal distribution? Why is the normal distribution important in statistical analysis? What is the Standard Normal Distribution?
Refer to the part of given Example in which two students are drawn without replacement from a class of 30 students in which three are left-handed. Draw a tree diagram to illustrate that the probability of selecting two left handed students is 1/14..
of 43 bank customers depositing a check 18 received some cash back. construct a 90 confidence interval for the
in a survey of 9000 females. 6431 say they change their nail polish once a week. construct 90 and 95 confidence
The first shows signs of heart disease and the other does not. You want to determine whether the groups differ in terms of the weight of the hypothalamus.
Find a 95% confidence interval for the proportion of voters in Massachusetts who would respond this way. Are the assumptions and conditions satisfied? Explain.
to test the hypothesis h0 ? 100 vs. h1 ? gt 100 a z-score of 2.8 is calculated. the value of 2.8 isa the test
Workers at a large toxic clean up project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult.
New population of pilots has normally distributed weights with mean of 128 lb and standard deviation of 31.7 lbs. If the pilot is randomly selected, determine the probability that his weight is between 120 lb and 181 lb.
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