You are polling people on their preference of products and each person independently has a 0.1...
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You are polling people on their preference of products and each person independently has a 0.1 chance to prefer product A. Find the probability that in a poll of 100 people more than 10% of them will prefer product A.
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You are polling people on their preference of products and each
person independently has a 0.1...
In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability that a person carries the gene (independently of other people) is 0.1. What is the probability that we will have to test at least
In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability that a person carries the gene (independently of other people) is 0.1. What is the probability that we will have to test at least 7 people in order to find 4 people who carry the gene?(a) .9982 (b) .00255 (c) .9987 (d) 1.458×10-6 (e) .00346
When doing polling, for instance to figure out how popular a given candidate is, a common trick is to just ask N many people whether they support that candidate, and take the support to be the faction of people who say yes: if 70 people support the candid
When doing polling, for instance to figure out how popular a given candidate is, a common trick is to just ask N many people whether they support that candidate, and take the support to be the faction of people who say yes: if 70 people support the candidate out of 100 asked, we estimate the support at 70% or 0.7. Suppose that the probability a person supports a candidate is p, which you do not know. Let pˆN be the...
Four people working independently on an assembly line all perform the same task. The time (in...
Four people working independently on an assembly line all perform the same task. The time (in minutes) to complete this task for person i, for i=1,2,3,4, has a uniform distribution on the interval [0, i]. Suppose each person begins the task at the same time. a) What is the probability that person 2 takes less than 90 seconds to complete the task? b) What is the average completion time for each person? c) What is the probability that all four...
exit polling is popular technique used to determine the outcome of an election prior to his...
exit polling is popular technique used to determine the outcome of
an election prior to his of being tallied supposed to referendum to
increase funding for education is on the ballot in a large town
voting population over 100,000 an exit poll of 400 voters find that
192 voted for the referendum how likely are the results of your
sample of the population proportion of visit in the town in favor
of a friend of 0.51 based on your results...
Two groups, A and B, with 10 people in each are in an experiment, and each...
Two groups, A and B, with 10 people in each are in an experiment, and each person drops out of the experiment independently with probability 0.2. Find the probability at least 9 people complete the experiment in either A or B, but not both.
lf In a promotion initiative for a particular chocolate bar a sales person in a su permarket has a 20% chance of se...
lf In a promotion initiative for a particular chocolate bar a sales person in a su permarket has a 20% chance of selling a bar, to each customer who tries one. If 10 customers try the product what is the probability that 3 or more bars will be sold? Quote the underlying probability distribution. What is the number of customers required to try the chocolate in order to ensure a better than 50% chance of one or more bars being...
1). Consider a Markov system modelling the migration of people with 2 states: a person can...
1). Consider a Markov system modelling the migration of people with 2 states: a person can either be in town A or in town B. Every year, a person from town A has 20% chance of moving to town B, and a person from town B has a 35% chance of moving to town A. (a) If there were 20000 of people in Town A and 15000 of people in Town B initially, find the number of people in Town...
In a region, there is a 0.8 probability chance that a randomly selected person of the...
In a region, there is a 0.8 probability chance that a randomly selected person of the population has brown eyes. Assume 11 people are randomly selected. Complete parts (a) through (d) below. a. Find the probability that all of the selected people have brown eyes. The probability that all of the 11 selected people have brown eyes is (Round to three decimal places as needed.) b. Find the probability that exactly 10 of the selected people have brown eyes. The...
D. Each day (independently of all other days) Jill has a 1/5000 chance of hearing a particular fa...
Pink Panther Question
D. Each day (independently of all other days) Jill has a 1/5000 chance of hearing a particular fact: let's say the fact that Henry Mancini composed "The Pink Panther Theme." Jill stores something in long term memory after hearing it 3 times. Use Poisson approximations to (approximately) answer the following (a) What is the probability that, by the time Jill is 10,000 days old, she knows that Henry Mancini wrote "The Pink Panther Theme"? Alice reads more...
2. Gini Index Income Decile Income Share 0.05 0.1 0.15 0.2 0.25 0.35 un 0.45 1...
2. Gini Index Income Decile Income Share 0.05 0.1 0.15 0.2 0.25 0.35 un 0.45 1 a. Graph the Lorenz Curve for the table above. (If it helps to be more precise than the table: the Lorenz curve has a slope of 0.05 from 0 to 0.5 of the income distribution, a slope of 0.1 from 0.5 to 0.8 on the income distribution, and a slope of 0.2 from 0.8 to 1 on the income distribution) b. Calculate the Gini...
exit polling is popular technique used to determine the outcome of
an election prior to his of being tallied supposed to referendum to
increase funding for education is on the ballot in a large town
voting population over 100,000 an exit poll of 400 voters find that
192 voted for the referendum how likely are the results of your
sample of the population proportion of visit in the town in favor
of a friend of 0.51 based on your results...
lf In a promotion initiative for a particular chocolate bar a sales person in a su permarket has a 20% chance of selling a bar, to each customer who tries one. If 10 customers try the product what is the probability that 3 or more bars will be sold? Quote the underlying probability distribution. What is the number of customers required to try the chocolate in order to ensure a better than 50% chance of one or more bars being...
In a region, there is a 0.8 probability chance that a randomly selected person of the population has brown eyes. Assume 11 people are randomly selected. Complete parts (a) through (d) below. a. Find the probability that all of the selected people have brown eyes. The probability that all of the 11 selected people have brown eyes is (Round to three decimal places as needed.) b. Find the probability that exactly 10 of the selected people have brown eyes. The...
Pink Panther Question
D. Each day (independently of all other days) Jill has a 1/5000 chance of hearing a particular fact: let's say the fact that Henry Mancini composed "The Pink Panther Theme." Jill stores something in long term memory after hearing it 3 times. Use Poisson approximations to (approximately) answer the following (a) What is the probability that, by the time Jill is 10,000 days old, she knows that Henry Mancini wrote "The Pink Panther Theme"? Alice reads more...
2. Gini Index Income Decile Income Share 0.05 0.1 0.15 0.2 0.25 0.35 un 0.45 1 a. Graph the Lorenz Curve for the table above. (If it helps to be more precise than the table: the Lorenz curve has a slope of 0.05 from 0 to 0.5 of the income distribution, a slope of 0.1 from 0.5 to 0.8 on the income distribution, and a slope of 0.2 from 0.8 to 1 on the income distribution) b. Calculate the Gini...
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