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Question: A coin with probability p of Heads is flipped n times. The sequence of outcomes can be divided into runs (blocks of H's or blocks of T's), e.g., HHHTTHTTTH becomes HHH T T H TTTT H , which has 5 runs. Find the expected number of runs. Hint: Start by finding the expected number of tosses (other than the first) where the outcome is different from the previous one.
Find the line of best fit and graph it on the scatterplot. State the equation of the line - State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two
Suppose that X1, X2, . . . are independent, identically Linnik(α)-distributed random variables, that N ∈ Fs(p), and that N and X1, X2, . . . are independent. Show that p1/α(X1 + X2 + · · · + XN ) is, again, Linnik(α)- distributed.
Suppose the people have weights that are normally distributed with a mean of 164lb and a standard deviation of 30lb. Find the probability?
Suppose X is the amount of money a person earns in an hour where? p(X = $5) =0.2, p(X =$10) = 0.1, p(X=$15) =0.5 and p(X=$20) = 0.2. How much money would the person earn on average
The explorer believes that the probability of existence of an oil deposit in the test area is 0.4. If a test is conducted and indicates the presence of oil, what is the probability that an oil deposit really exists?
What is a prime number, and why are prime numbers important? What do you call a number that is not prime? What is the largest prime number ever found?
Listed below are weights in grams from a sample of these bats. Construct a 95% confidence interval estimate of their mean weight.
The numerators for the sample variance and population variance do not differ. SS is the numerator in both formulas; only the denominators differ.
The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures sqrt 6 m. Find the width and height.
in a test of the hypothesis h0 u -60 versus h u 60 a sample of n 50 observations possessed mean x 60.6 and standard
a student wants to assess whether her dog muffin tends to chase her blue ball more often than she chases her red
Starting with the model in Table 4, add both Em- ployment and Annual Payroll to the model. Does adding this pair improve the fit of the model by a statistically significant amount?
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