A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that 1 out of 5 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability that at most 21 out of the next 84 cars needs oil.

A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that 1 out of 5 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability that at most 21 out of the next 84 cars needs oil.

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...

See similar textbooks

Related questions

Q: On average, the number of students that choose to study Arts related subjects at lowa University is…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Let us denote X= number of plants that do not grow healthy n= number of trials= 10 probability of…

Q: Suppose that the probability that there is another pandemic in the next year is 10%. And suppose…

A: Probability is a branch of mathematics or statistics which basically deals with the probability of…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Sample size, n = 12 Probability(grow) = 95% = 0.95

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A: From the given information p = 0.20 and n = 15.

Q: The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of…

Q: Sam is an archer and hits targets with 70% accuracy. If shots are independent of each other, what is…

A: Given Sam is an archer and hits targets with 70% accuracy and shots are independent of each other.…

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: a sing ildren

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 6 seeds are planted,…

A: From the provided information, If a seed is planted, it has a 75% chance of growing into a healthy…

Q: A financial services committee had 60 members, of which 10 were women. If 9 members are selected at…

A: a. The probability that 7 men and 2 women are selected is 0.3041 and it is obtained below: From the…

Q: An Insurance company study shows that 45% of U.S. adults have high blood pressure. Suppose 6 U.S.…

A: It is given that n =6 and p = 0.45.

Q: A carton weighing 250 pounds breaks 1 out of every 5 tables it is placed on. If a carton weighs 300…

A: we only know that a carton weighing 250 pounds breaks 1 out of every 5 tables it is placed on. We…

Q: Each of the two friends tosses an unbiased coin ten times. What 1s the probability that each one…

A: Given Each of the friends tosses an unbiased coin ten times. Let X be the number of getting heads,…

Q: Suppose you manage the demand for a towing company in Little Rock. On a usual day your company gets…

Q: In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the…

A: Let A denote the event residents live in houses Let B denote the event that residents live in…

Q: This problem involves students who have taken Calculus in high school. Assume that 25 percent of…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

Q: A certain neurotoxin has a 60% probability of killing a person depending on the host’s reaction and…

A: Let us denote X=the number of people who survive n=number of trials=25 Probability of killing=…

Q: robability of a mild accident is 0.014. et X be the insurance company's net gain or loss on the…

A: For a serious accident, the policy will pay $279,000.For mild accident, the policy will pay…

Q: An assembly line has two inspectors. The probability that the first inspector will miss a defective…

A: If the defective item passes both inspectors then that means that it was missed by the first…

Q: A class of 20 juniors, 30 seniors, and 10 graduate students makes up an advanced physics class.…

Q: A woman plans to have two children. The probability that each child is a boy is 0.525, and the birth…

A: Given,P(a baby boy)=0.525P(a baby girl)=1-0.525=0.475

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: The given Information can be depicted as follows: During any month Begin smoking 1…

Q: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away Let p be the probability of towed away=0.6 q be the…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Given, Total population : 10000 Nonsmokers : 5000 Smokers of one pack or less per day : 2500…

Q: What is the probability that Larry Bird makes exactly one of his two free throws?

A: Let p be the probability that Larry bird makes free throw. Given that p = 0.50 Let X denote the…

Q: When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The…

Q: A population is composed of 60% men and 40% women. It is known that 75% of the men and 45% women…

A: Define event M as the selected person is Men. Define event F as the selected person is Women. Define…

Q: Find the probability that if a person is chosen at random, they have run a red light in the last…

A: Given that Number of persons responded yes = 150 Number of persons responded No = 231 Total number…

Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: Solution: Let A be the event that students have taken calculus in high school and B be the event…

Q: Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10…

A: Given Information : Total number of students = 33 The number of female students = 23 and five of…

Q: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

Q: Suppose a free throw shooter makes 67 percent of their first attempts. On the second attempt they…

Q: If a seed is planted, it has an 80% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Given,n=12q=0.80p=1-qp=1-0.80=0.20Let X=no.of doesn't growX~Binomial (n=12 , p=0.20)P(X=x)=12x…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that
have oil added. If this is true (and assuming cars arriving independently), find the probability that at most 21 out of the next
out of 5 cars needs to
84 cars needs oil.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

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
The probability that an electronic circuit board contains dirty particles is 0.01. Considering that the plates are independent, what is the probability that 125 plates will be analyzed until we find the first particle?
About 2.5% of Canadians have blood type AB. If 25 Canadians are selected randomly, ving. The exact probability that less than 2 have blood type AB. The exact probability that 23 have blood type other than AB. The approximate probability that at least one has blood type AB.
Based on past experience, the store manager estimates that the probability that any one customer will make a purchase is .30. What is the probability that two of the next three customers will make a purchase?
You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.
On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through as the number of vans, bicycles and trucks combined. • Twice as many vans go through as the number of bicycles and trucks combined. • Half as many trucks go through as the number of bicycles. Calculate the probability that the next vehicle to go through is a truck or a car. (19/27)
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.