The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28,0.10, and 0.17, respectively. Find the probability that in this 30-minute period(a) more than 2 cars receive gas;(b) at most 4 cars receive gas;(C) 4 or more cars receive gas

The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during…

Answered: The probabilities that a service…

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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Industrial Robots are programmed to operate through microprocessors. The probability that one such computerized robot breaks down during any one 8-hour shift is 0.2. Find the probability that the robot will operate for at most five shifts before breaking down twice.
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the probability the defendant is acquitted given innocence is 0.95. Suppose 90% of defendants are truly guilty. Given that the defendant is convicted, find the probability that he was actually guilty.
The probability of a person selling by phone to sell for each call is independent of each other and is 0.2. So, what is the probability that he did not sell in exactly 5 calls before making the second sale?
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
each of the natural numbers from 1 to 15 inclusive is written on one card, and different numbers are written on the different cards. We randomly select four cards. What is the probability that the smallest number of selected cards is 8 or the largest of them is 12?
The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?
A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
Machines A and B produce 40% and 60% respectively of the production of a component intended for the motor industry. The probability that machine A produces a defective component is 0.05 while the probability that machine B produces a defective component is 0.09.D. If a component is selected at random and is found to be not defective, find the probability that it was made by machine B.E. What is the probability to find a component that is not defective and it was made by machine A?F. What is the probability to find a component that is not defective and it was made by machine B?
A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 236 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.
In order to attract customers, a grocery store started a "SAVE" game. Any person who collects all four letters of the word save gets a prize. A diligent Mrs. Reyes has three letters "s", "a" and "e" keeps going to the store until she gets the 4th letter "v". The probability that she gets the letter "v" on any visit is 0.002 and remains the same from visit to visit. Find the probability that she will not have to visit more than three times. a.0.006 b.0.004 c.0.003 d.0.007

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