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Let j and n be positive integers, with j ≤ n. An experiment consists of choosing, at random, a j-tuple of positive integers whose sum is at most n.
(a) Find the size of the sample space. Hint : Consider n indistinguishable balls placed in a row. Place j markers between consecutive pairs of balls, with no two markers between the same pair of balls. (We also allow one of the n markers to be placed at the end of the row of balls.) Show that there is a 1-1 correspondence between the set of possible positions for the markers and the set of j-tuples whose size we are trying to count.
(b) Find the probability that the j-tuple selected contains at least one 1.
The IT manager at a large company has developed the following probability distribution for the number of interruptions per day. What is the expected number of interruptions per day? What is the standard deviation in the number of interrup..
The grades of 20 students are listed in the stem and leaf diagram below. What is the probability of randomly selected student to have a grade more than or equal to 60 and less than or equal to 80.
260 of them were manufactured by Asian automobile companies. Find the 95% confidence interval for this city's population proportion of vehicles made by Asian companies.
Find the probability that a given mouse will live. a. more than 32 months b. less than 28 months c. between 37 and 49 months.
1. mention the characteristics of statistics. explain any two applications of statistics.2. distinguish between primary
Utility functions need not relate to dollar values. Here is a problem in which we know little about five abstract outcomes. What is important, however, is that a person who does know what A to E represent should be able to compare the outcomes..
according to the irs the average tax refund for the 70 million personal income tax returns in 1998 was 800. assuming a
q1. consider an investment portfolio of 50000 in stock a and 50000 in stock b. the expected value of a is 9.5 and b is
blood type ab is found in only 3 of the populationdagger. if 205 people are chosen at random find the probability of
These problems related to Basic Statistics and discuss about type I and type II errors and their critical role in statistical tests
a survey was carried out to find the salaries for technicians working in maintenance at atlanta international airport.
question 1 the yield on a general obligation bond for the city of davenport fluctuates withthe market.the monthly
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