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An American roulette wheel has 38 slots: 18 are red, 18 are black and 2 are green. Let R be the number of spins until you observe red. Let B be the number of spins until you observe black. Let G be the number of spins until you observe green.
a) What are the distributions and parameters for R, B, and G?
b) How many spins would expect it to take to observe black? How many spins would you expect it to take to observe green?
c) What is the probability that you will observe the first red on the 5th spin?
d) You have a bet with a friend that you can observe 4 blacks in at most 6 spins. What is the probability that you will win this bet?
e) How many spins should you expect it to take to observe 4 blacks? What is the variance of the number of spins that it takes to observe 4 blacks?
Using the full 5-step process test to see if a population mean is not 25. Sample data is: Mean 24, standard deviation 10 and a sample of 400 was taken.
In an early study, researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester.
Do not forget to test for any applicable difference in means (Tukey implies).
For the following ANOVA experiments, determine the critical region(s) and critical value(s) that are used in the classical approach for testing the null hypothesis
Compute the proportion p (hat) for your sample Show your computation. Find a 95% confidence interval for p. What is the margin of error in this confidence interval? What is the meaning of this interval with respect to your data and project?
Suppose you are in a class of 120 students. What is the probability that at most 42 students will say that they frequently experience stress in their daily lives?
investigate how a company uses data in marketingselect a company maybe your employer and assess how it uses data in
assume xngam1n and let znxn-nsqrn. show that zn converges in distribution to zn01.hint show that mzntexp-sqrnt -
Use of linear regression is a critical tool for a managers decision-making ability - Using a level of significance of .01, is there evidence that the out of state students may be receiving lower grades? Fully explain your answer.
If Y follows a Beta(a; b) distribution, then we know that E(Y ) = mu = a/(a + b) and Var(Y ) = sigma^2 = ab/((a + b)^2(a + b + 1)) This gives us mu and sigma^2 in terms of a and b. Derive equations for a and b in terms of mu and sigma^2
The data results are based on serum continine levels for each group. The claim is that exposure to tobacco smoke (as second-hand smoke) corresponds to higher levels of cotinine.
q1. the sum of squared deviations of each score from the grand mean is the .q2. what is the effect of a conservative
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