Directions: During a certain part of the day, the timebetween arrivals of automobiles at the tollgate on a turnpikeis an exponential random variable with expected value 30seconds.1. Find the probability that the time between successivearrivals is more than 70 seconds.Probability =2. Find the probability that the time between successivearrivals is greater than 10 seconds and less than 50seconds.Probability =

Expected value E(x)=30Let "x" be the time between successive arrivalsA random variable…

Answered: Directions: During a certain part of…

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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Calculate the probability P(E) the heavy weather service predicts that for tomorrow there is a 55% chance of tornadoes, a 20% chance of a monsoon, and a 5% chance of both. what is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?
The sky train from the terminal to the rental car and long-term parking center is supposed to arrive every 8 minutes. The waiting times for the train are known to follow a uniform distribution. What is the probability of waiting more than 6 minutes given a person has waited more than 4 minutes? (Round to four decimal places.) Explain step by step. How do you get every number. Any easier way to figure out with calculator?
Using a standard 6 sided die is rolled either a two or a five on the last six rolls of the die what is the probability of Janice rolling a 2 or 5 on her 7th off of the die?
please solve part b and part d only
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.)
Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005. (a) Find the probability of success, given that a climber is at least 60 years old. (Round your answer to 3 decimal places.) Probability (b) Is success in climbing Everest independent of age? O Yes O No nces
11% of US adults eat fast food 4 to 6 times per week. You randomly select 12 US adults. Find the probability that the number of US adults that eat fast food 4 to 6 times per week is less than three.
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about 10% of the time, while the non salty outgoing tides occurs twice per day. You take your dog for a walk down by the river at random during the weekend and notice that he'll drink from the river 30% of the time when the salt is sufficiently low. Question Given that the overall probability of rain remains 10 % what is the probability of rain during a non tide period?
A new analytical method to detect pollutants (D) in water is being tested. This new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminants-organic pollutants (O), volatile solvents (V), and chlorinated compounds (C)-instead of having to use a single test for each pollutant. The makers of the test claim that it can detect high levels of organic pollutants with 99.7% accuracy, volatile solvents with 99.95% accuracy, and chlorinated components with 89.7% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that chlorinated compounds are present? Note: Use the notations in the brackets to…
The table summarizes results from pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 60 85 No 289 548 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated. (Round your answer to 4 decimal places.) Probability = Submit Question
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?

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