Workers 1,...,n are currently idle. Suppose that each worker , independently, has probability p of being...
Workers 1,...,n are currently idle. Suppose that each worker , independently, has probability p of being eligible for a job and that a job is equally likely to be assigned to any of the workers that are eligible for it (if none are eligible, the job is rejected). Find the probability that the next job is assigned to worker 1.
Homework Answers
There are n workers to whom job can be assigned so number of ways of assigning next job is n. Out of these n ways, one way is for assigning job to worker 1 so the probability that the next job is assigned to worker 1 is
P = 1 / n
Add Answer to:
Workers 1,...,n are currently idle. Suppose that each worker ,
independently, has probability p of being...
Suppose that two teams are playing a series of games each of which is independently won by team A with probability p an...
Suppose that two teams are playing a series of games each of which is independently won by team A with probability p and by team B with probability 1-p. The winner of the series is the first team to win i games. (a) If i 4, find the probability that a total of 7 games are played. (b) Find the expected number of games that are played when i 3.
Suppose that two teams are playing a series of games...
Suppose that X1, X2, ..., Xn is an iid sample, each with probability p of being...
Suppose that X1, X2, ..., Xn is an iid sample, each with probability p of being distributed as uniform over (-1/2,1/2) and with probability 1 - p of being distributed as uniform over (a) Find the cumulative distribution function (cdf) and the probability density function (pdf) of X1 (b) Find the maximum likelihood estimator (MLE) of p. c) Find another estimator of p using the method of moments (MOM)
Suppose that there are 12 types of coupons and that each time one obtains a coupon, it is, indepe...
Suppose that there are 12 types of coupons and that each time one obtains a coupon, it is, independently of previous selections, equally likely to be any one of the 12 types. One random variable of interest is T, the number of coupons that needs to be collected until one obtains a complete set of at least one of each type. Determine the p.m.f. of T, P(T -n) based on the fact P(T- n) P(T> n-1) P(T> n)
Suppose that...
A shoe repair shop has one large motor supplying power to 8 workers. Each worker needs...
A shoe repair shop has one large motor supplying power to 8 workers. Each worker needs the power 24 minutes every hour on average, so that his chance of needing power at any given moment is 24/60 = 40%. And each worker works independently of the other workers. That is, at any given moment his chance of drawing power does not depend on whether his co-workers happen to be drawing power. a. At any moment, what is the chance that...
2. A department has 3 employees. By the end of any given week each worker independently...
2. A department has 3 employees. By the end of any given week each worker independently will quit with prob- ability 10%. If at the beginning of a week one or less employees are there, replacements will be hired by the end of the week. You are interested in finding the proportion of the time that the department has full staff. Write down the equations that you can use to find it.
[20] A plant sheds X seeds, where X B(n,p).Each seed germinates with probability o independently of...
[20] A plant sheds X seeds, where X B(n,p).Each seed germinates with probability o independently of all others. Let Y number of seedlings. 5. a) Find the pmf of Y b) Determine E(Y) and Var(Y).
4. You toss n coins, each showing heads with probability p, independently of the other tosses....
4. You toss n coins, each showing heads with probability p, independently of the other tosses. Each coin that shows tails is tossed again. Let X be the total number of tails (a) What type of distribution does X have? Specify its parameter(s). (b) What is the probability mass function of the total number of tails X?
A committee has ten members. There are two members that currently serve as the board's chairman...
A committee has ten members. There are two members that currently serve as the board's chairman and vice chairman. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and vice chairman. What is the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and reassigning them to their current positions?
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of ...
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of being faulty, independently of any other trucks i) What is the probability that exactly two of the trucks made in one week are faulty? ii) What is the expected number of faulty trucks made per week? 5 marks (b) The workers at the factory are asked to keep making trucks until a faulty truck is made. Again each truck has probability...
1. Each of two firms has one job opening. The firms offer different wages: firm 1...
1. Each of two firms has one job opening. The firms offer different wages: firm 1 offers the wage $10 per hour, and firm 2 offers the wage $12 per hour. There are two workers, each of whom can apply to only one firm. The workers simultaneously decide whether to apply to firm 1 or to firm 2. If only one worker applies to a given firm, that worker gets the job; if both workers apply to one firm, the...
Suppose that two teams are playing a series of games each of which is independently won by team A with probability p and by team B with probability 1-p. The winner of the series is the first team to win i games. (a) If i 4, find the probability that a total of 7 games are played. (b) Find the expected number of games that are played when i 3.
Suppose that two teams are playing a series of games...
Suppose that X1, X2, ..., Xn is an iid sample, each with probability p of being distributed as uniform over (-1/2,1/2) and with probability 1 - p of being distributed as uniform over (a) Find the cumulative distribution function (cdf) and the probability density function (pdf) of X1 (b) Find the maximum likelihood estimator (MLE) of p. c) Find another estimator of p using the method of moments (MOM)
Suppose that there are 12 types of coupons and that each time one obtains a coupon, it is, independently of previous selections, equally likely to be any one of the 12 types. One random variable of interest is T, the number of coupons that needs to be collected until one obtains a complete set of at least one of each type. Determine the p.m.f. of T, P(T -n) based on the fact P(T- n) P(T> n-1) P(T> n)
Suppose that...
2. A department has 3 employees. By the end of any given week each worker independently will quit with prob- ability 10%. If at the beginning of a week one or less employees are there, replacements will be hired by the end of the week. You are interested in finding the proportion of the time that the department has full staff. Write down the equations that you can use to find it.
[20] A plant sheds X seeds, where X B(n,p).Each seed germinates with probability o independently of all others. Let Y number of seedlings. 5. a) Find the pmf of Y b) Determine E(Y) and Var(Y).
4. You toss n coins, each showing heads with probability p, independently of the other tosses. Each coin that shows tails is tossed again. Let X be the total number of tails (a) What type of distribution does X have? Specify its parameter(s). (b) What is the probability mass function of the total number of tails X?
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of being faulty, independently of any other trucks i) What is the probability that exactly two of the trucks made in one week are faulty? ii) What is the expected number of faulty trucks made per week? 5 marks (b) The workers at the factory are asked to keep making trucks until a faulty truck is made. Again each truck has probability...
1. Each of two firms has one job opening. The firms offer different wages: firm 1 offers the wage $10 per hour, and firm 2 offers the wage $12 per hour. There are two workers, each of whom can apply to only one firm. The workers simultaneously decide whether to apply to firm 1 or to firm 2. If only one worker applies to a given firm, that worker gets the job; if both workers apply to one firm, the...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago