Question

You are distributing 1000 jobs to 7 servers (we are only interested in how many jobs...

You are distributing 1000 jobs to 7 servers (we are only interested in how many jobs each server gets). You pick a distribution uniformly at random.

(a) What is the probability that server #1 gets at least 300 jobs?

(b) What is the probability that there is at least one server that gets at least 300 jobs?

(c) What is the probability that there is no server that gets at least 300 jobs?

Discrete Math II

(d) Assume server #1 gets at least 400 jobs. What is the probability that server #2 gets at least 300 jobs?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
With its recent legalization, you are interested in how many of your classmates have tried marijuana....
With its recent legalization, you are interested in how many of your classmates have tried marijuana. The government predicts that 60% of college students have used marijuana. You ask 12 12 of your classmates about their experiences. Round your answer to 4 decimals A) what is the probability that exactly 6 have tried it? B) what is the probability that least 10 have tried it? C) what is the probability that less than 10 have tried it? D) what is...
Basic probability for Discrete math problem: (I am mostly interested in part c,d,and e if you...
Basic probability for Discrete math problem: (I am mostly interested in part c,d,and e if you can't do them all. will rate asap) Imagine a fictional scenario where a new area code 229 has just been assigned to Los Angeles. To request a phone number with this new area code, a computer program randomly generates a 7-digit number s1s2s3 − s4s5s6s7. That is for i = 1, 2, ... , 7, a random number generator picks a number from 0...
You are interested in buying a new pair of headphones on Amazon, but you want to...
You are interested in buying a new pair of headphones on Amazon, but you want to make sure you get the right price. Being a student of Math 107, you track the price daily for two weeks and find the following: Day 1- $115 Day 2- $110 Day 3- $115 Day 4- $145 Day 5- $100 Day 6- $100 Day 7- $115 Day 8- $145 Day 9- $130 Day 10- $130 Day 11- $110 Day 12- $110 Day 13- $145...
Please show your work. The answer is only for reference. Suppose that an urn contains 7...
Please show your work. The answer is only for reference. Suppose that an urn contains 7 green, 8 red, and 9 yellow balls. You pick a ball at random and replace it. You then do this 9 more times (making 10 times altogether). What is the probability that you selected green 2 times, red 3 times, and yellow 5 times? (Hint: multinomial distribution.) Answer: .0589
2. The top 10 ranked jobs based on various criterion are listed below. Here we are...
2. The top 10 ranked jobs based on various criterion are listed below. Here we are interested in looking at the stress rating of each job (I picked the right one in terms of stress!...also note how many jobs that are ranked towards the top involve math and statistics!): Job Stress Rating Mathematician 24 University Professor(Tenured) 4 Statistician 54 Actuary 54 Audiologist 1 Dental Hygienist 11 Software Engineer 18 Computer Systems Analyst 58 Occupational Therapist 28 Speech Pathologist 17 a....
You must decide which of two discrete distributions a random variable X has. We will call...
You must decide which of two discrete distributions a random variable X has. We will call the distributions p0 and p1. Here are the probabilities they assign to the values x of X: x 0 1 2 3 4 5 6 p0 0.1 0.1 0.2 0.3 0.1 0.1 0.1 p1 0.1 0.3 0.2 0.1 0.1 0.1 0.1 You have a single observation on X and wish to test H0: p0 is correct Ha: p1 is correct One possible decision procedure...
An alien empire is considering taking over planet Earth, but they will only do so if...
An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10%. They abducted a random sample of 400 humans, performed special psychological tests, and found that 12% of the sample are rebellious. Let's test the null hypothesis that the actual percentage of rebellious humans is 10% versus the alternative that the actual percentage is higher than that. The table at right sums up the results of...
1. (4 pts) Consider all bit strings of length six. a) How many begin with 01?...
1. (4 pts) Consider all bit strings of length six. a) How many begin with 01? b) How many begin with 01 and end with 10? c) How many begin with 01 or end with 10? d) How many have exactly three 1’s? 2. (8 pts) Suppose that a “word” is any string of six letters. Repeated letters are allowed. For our purposes, vowels are the letters a, e, i, o, and u. a) How many words are there? b)...
Here are the basic rules of Club Keno: You choose how many numbers you will pick....
Here are the basic rules of Club Keno: You choose how many numbers you will pick. You can pick anywhere from 1 to 10 different numbers. Pick your numbers between 1 and 80. A drawing is held in which 20 numbers are picked. Depending on how many of your numbers come up in the drawing, you win various amounts of money. In a previous assignment we saw the number of ways to choose exactly x correct from a total of...
Some of the methods in this section are approximations rather than exact probability results. We have...
Some of the methods in this section are approximations rather than exact probability results. We have given rules of thumb for safe use of these approximations. (a) You are interested in attitudes toward drinking among the 75 members of a fraternity. You choose 30 members at random to interview. One question is "Have you had five or more drinks at one time during the last week?" Suppose that in fact 30% of the 75 members would say "Yes." Explain why...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT