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Let be a sequence of independent Poisson counting processes with arrival rates, Show that the sum of all of these Poisson processes,
is itself a Poisson process. What is the arrival rate of the sum process?
Find the marginal PMF PN (n), the conditional PMF PK|N (k|n), and the conditional expected value E[K|N = n]. Express the random variable E[K|N] as a function of N and use the iterated expectation to find E[K]
a. What is the probability that a computer will fail within 12 months? b. If the company gives a warranty period of 12 months, what proportion of computers will fail during the warranty period?
Consider a box game with 2 boxes. Box 1 has one drawer, and Box 2 has 5 drawers. A player will select a box at random and then pick a drawer from that box at random. You have two prizes to place in the drawers. Where should you place them to creat..
If I have 3 tables in the classroom with 16 girls and 8 boys in the class, what are the chances of 8 girls sitting at one table when seats are assigned randomly?
Use Chebyshev's theorem to determine what percent of values will fall between 58 and 82 for data set with mean of 70 and standard deviation of 4.
a potato chip manufacturer samples 13 bags of potato chips off the assembly line and weighs their contents. if the
bags of a certain brand of tortilla chips claim to have a net weight of 16 ounces. net weights actually vary slightly
Ethnic Group A: N = 15 M= 55 S2 = 6.5 Ethnic Group B : N = 23 M= 51 S2 = 4.5. If the standard deviation of the distribution of the difference between means is .76, what is the t score?
Your director has banned the use of all artificial fingernails, claiming their use contributes to patient infections in the unit. After multiple discussions the director has allowed you to do a research study to determine if the use of artificial ..
according to one study that looked at the percent of left-handed people by state 11.6 of people in indiana are
What is the probability that the next 100 customers will spend an average of less than $56 on dinner?
Scores are whole values. The top 3% receive $500.00. what is the minimum score you would need to receive this award?
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