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Let (S1, ... , Sn ) be a vector of ranks that is uniformly distributed over the set of all n! permutations of (1, 2, ... , n). Show that the joint marginal probability distribution of (Si , Sj), for i ≠ j = 1, ... , n, is given by
Use this fact to show that cov(Si , Sj) = -(n + 1)/12, for i ≠ j = 1, ... , n.
Calculate expected number of interruptions per day. Calculate standard deviation.
The following sample of size 11 was taken from a population that is not normally distributed: 87 59 77 65 98 90 84 56 75 96 66
The resistances of carbon resistors of 1500 ohm nominal value are normally distributed with µ = 1500 and standard deviation = 200. What proportion of resistors is expected to have resistance greater than 1150 ohm?
a local ice cream shop sells 10000 cones of vanilla-flavored ice cream each year. the cones are ordered from an outside
someone working for a survey organization approached the rst 100 students they saw on campus and noted that 52 of these
calculate the standard deviation of the data. for this calculation compute the difference between each one of the
1 the number of customers at quiet morning bakery is believed to follow a poisson distribution with a mean of 2
Complete the ANOVA Summary Table and perform post hoc comparison if necessary
dr. cardenas studied political attitudes among di erent groups of 20- 40- and 60- year-olds. political attitudes were
Many law enforcement agencies use voice-stress analysis to help determine whether persons under interrogation are lying. If the sound frequency of a person's voice changes when asked a question
What are the four basic financial statements? Describe the balance sheet, and explain why it is important.
Incomes in the thousands of dollars were sampled in one region, they are as follows (1.5, 3.0, 4.2, 5.6, 2.6, 4.1, 0.9, 5.7, 5.4, 2.6) Assume the population is normal.
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