Trucks are required to pass through a weighing station so they can be checked for weightviolations. Trucks arrive at the station at the rate of 40 an hour between 7:00 p.m. and 9:00p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 25trucks an hour.e. What condition would exist if there was only one inspector?f. What is the maximum line length for a probability of .97?

Queuing system is usually used to understand the waiting time, service time and demand of queue.…

Answered: Trucks are required to pass through a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Answer with Solution.
When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 974,425 radioactive atoms, so 25,575 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given day, 52 radioactive atoms decayed.
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 3 Blue 2 Green 14 Yellow 13 Purple 7 Based on these results, express the probability that the next spin will land on red as a percent to the nearest whole number.
It has been estimated that only about 25% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 5 residents in the County. Let X be the number of residents who have adequate earthquake supplies. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 residents who have adequate earthquake supplies in this survey? b. What is the probability that less than 2 residents who have adequate earthquake supplies in this survey? c. What is the probability that at most 2 residents who have adequate earthquake supplies in this survey? d. What is the probability that between 1 and 3 (including 1 and 3) residents who have adequate earthquake supplies in this survey?
Based on a poll, among adults who regret getting tattoos, 28% say that they were too young when they got their tattoos. Assume that eighteight adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos.
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? L
based on a pole, among adults who regret getting tattoos, 23% say that they were too young when they got their first tattoos. Assume that five adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts A through D below.
When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 979,748 radioactive atoms, so 20,252 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given day, 52 radioactive atoms decayed.
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
Based on a poll, among adults who regret getting tattoos, 23% say that they were too young when they got their tattoos. Assume that ten adults who regret getting tattoos are randomly selected, and find the indicated probability. a. Find the probability that none of the selected adults say that they were too young to get tattoos.

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