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People arrive at a queue according to the following scheme: During each minute of time either 0 or 1 person arrives. The probability that 1 person arrives is p and that no person arrives is q = 1 - p. Let Cr be the number of customers arriving in the first r minutes. Consider a Bernoulli trials process with a success if a person arrives in a unit time and failure if no person arrives in a unit time. Let Tr be the number of failures before the rth success.
(a) What is the distribution for Tr ?
(b) What is the distribution for Cr ?
(c) Find the mean and variance for the number of customers arriving in the first r minutes.
Ten bolts were selected randomly from a production line and the diameter of each was measured. Why do these diameters not have a binomial distribution?
Which represent errors of estimation for individual points, an alternative way to examine the error of the regression model using a single measurement is to determine the sum of all the residuals.
There are 8 members on the board of directors. If the board must form a committee of 6 members, how many different ways may the committee be selected from among the 8 board members?
A study conducted at a certain college shows that 53% of the school's graduates find a job in their chosen field within a year of graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her cho..
GenXY Motors Pte Ltd sells second hand cars. The company has four shops in different locations either within or outside of the city area.
a suppose there are two people in a room. what is the probability that they have the same birthday? hint find the
Post-hoc fallacy is that condition where regression shows a high degree of correlation (R square is high), but there is no real cause-effect relationship between the independent and dependent variables.
What is the probability of randomly selecting a sample of 50 one bedroom apartments in this town and getting a sample mean of less then $530 if the population standard deviation is $100?
the manager of a youth-oriented clothing store at the local mall has determined that 27 of the males who enter the
Formulate a linear program to determine the production plan for the next three months that will minimize the total cost. Develop an EXCEL spreadsheet to find the optimal solution for Contois Carpets.
Using the .05 level, do the results support the researcher's theory? (a) Use the steps of hypothesis testing, (b) sketch the distributions involved.
let fxyxy 45x3ye-x-2y if xgt0 ygt0 be the joint distributiton of xy. find the correlation
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