The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 8 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 11 requests per hour.
In: Operations Management
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 9 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 11 requests per hour.
In: Operations Management
Arrays Assignment in Java
1. Suppose you are doing a report on speeding. You have the data from 10 different people who were speeding and would like to find out some statistics on them. Write a program that will input the speed they were going. You may assume that the speed limit was 55. Your program should output the highest speed, the average speed, the number of people who were between 0-10 miles over, the number between 10 and 20, and the number over 20. Your program should print out these results.
2. Create a list of 100 randomly generated numbers (between 1 and 100). Print the list out in order, print the list out in reverse order, print out how many of each number was generated.
In: Computer Science
For each probability and percentile problem, draw the picture. Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).
part G: Enter an exact number as an integer, fraction, or decimal. P(2 < x < 9) =
Part H: Find the probability that a person is born after week 42. (Enter an exact number as an integer, fraction, or decimal.)
Part I: Enter an exact number as an integer, fraction, or decimal. P(13 < x | x < 29) =
In: Statistics and Probability
In: Advanced Math
The number of ants per acre in the forest is normally
distributed with mean 45,000 and standard deviation 12,278. Let X =
number of ants in a randomly selected acre of the forest. Round all
answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected acre in the forest
has fewer than 57,834 ants.
c. Find the probability that a randomly selected acre has between
44,152 and 55,612 ants.
d. Find the first quartile. ants (round your answer to a whole
number)
In: Statistics and Probability
The number of vacation days taken by the employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. Is this a case of sample standard deviation or population standard deviation? What are some differences between sample standard deviation and population standard deviation?
For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? What is the probability that the number of days of vacation taken is more than 21 days? Discuss the solutions and an explanation. Respond to your peers’ posts and offer your feedback on this topic.
In: Statistics and Probability
The number of ants per acre in the forest is normally
distributed with mean 43,000 and standard deviation 12,405. Let X =
number of ants in a randomly selected acre of the forest. Round all
answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected acre in the forest
has fewer than 55,888 ants.
c. Find the probability that a randomly selected acre has between
32,267 and 37,554 ants.
d. Find the first quartile. ants (round your answer to a
whole number)
In: Statistics and Probability
A factory that produces screws sells its products in packets of 100. A packet is considered defect if more than 10 screws (out of the 100) are defect. To test whether a packet is defective, 5 screws are picked at random and checked. If at most two of the five are defect, we say that the packet is not defective. Take Ho: the number of defect screws in a given packet is 10 and Ha : the number of defect screws is more than 10.
a. What is the probability for a type I error?
b. Given that the number of defective is 20. What is the probability for a type II error?
In: Statistics and Probability
You are to take a multiple-choice exam consisting of 100 questions with five possible responses to each. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Let r.v. X represent the number of correct responses on the exam.
(a). Specify the probability distribution of X.
(b. What is your expected number of correct responses?
(c). What are the values of the variance and standard deviation of X?
(d). What is the probability that you will get exactly the expected number of correct responses?
In: Math