An agent sells life insurance policies to five equally aged, healthy people. According to recent data, the probability of a person living in this condition for 30 years or more is 2/3. Calculate the probability that after 30 years, at least three people are still living

An agent sells life insurance policies to five equally aged, healthy people. According to recent data, the probability of a person living in this condition for 30 years or more is 2/3. Calculate the probability that after 30 years, at least three people are still living

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: Based on meteorological records, the probability that it will snow in a particular place on December…

Q: A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 99 insects…

A: The problem describes a situation where we have a fixed number of independent trials (99 insects),…

Q: ou are waiting in line at Dunkin. There are three people in front of you. The time it takes a person…

Q: According to a recent survey, 80% of all teenagers own a smartphone. If we select 10 teenagers at…

Q: A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false…

Q: A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer.…

A: Given: Number of questions = 10Probability of getting correct =1/2 = 0.5 (because it is a true -…

Q: The survival rate during a risky operation for patients with no other hope of survival is 71%. What…

A: Given information- We have given a problem of the binomial distribution. Probability of survival, p…

Q: The life of a power transmission tower is exponentiallydistributed, with mean life 25 years. If…

A: From the given information, it can be observed that the life of a power transmission tower is…

Q: certain insecticide kills 70% of all insects in laboratory experiments. A sample of 11 insects is…

A: Given that q = 70% = 0.70 , p = 1 - q = 1 - 0.70 = 0.30 , n = 11 X ~ Binomial (n = 11 , p = 0.30) X…

Q: A medical test is given to 1000 people, 53% of whom have diabetes. The test has a false positive…

A: Given that , a medical test is given to 1000 people, 53% of whom have diabetes. It's mean 530 people…

Q: On a 5-day vacation, the forecast is a 34% chance of rain every day. What is the probability that it…

A: n=sample size=number of days=5, p=probability of raining every day=0.34

Q: Suppose that it rains in Spain an average of once every 15 days, and when it does, hurricanes have a…

Q: A coin is in one of 5 boxes. The probability that it is in the ith box is (i/15). If you search in…

Q: The life of a power transmission tower is exponentially distributed, with mean life 25 years. If…

Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…

A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4% compute the probability…

Q: Find the empirical probability that the next person who visits the doctor will leave with a…

A: Here given Five people out of every fifteen people who visit the doctor will leave with a…

Q: A certain insecticide kills 60 % of all insects in laboratory experiments. A sample of 8 insects is…

A: The objective of this question is to find the probability that exactly one insect will survive when…

Q: It is estimated that 3.6% of the general population will live past 90th birthday. In a graduating…

A: From the provided information, It is estimated that 3.6% of the general population will live past…

Q: A customer pays $272.45 for 3-year protection plan for their laptop. If anything happen to the…

Q: On a five-day vacation, the forecast is a 55% chance of rain every day. What’s the probability that…

A: Let p denote the probability of rain every day = 0.55 Let n be days in an vacation = 5 Let the R.V X…

Q: You roll two six-sided dice numbered from one through six. What is the probability that the sum of…

Q: Historical data indicates that Rickenbacker Airlines receives an average of 2 complaints per day.…

Q: A certain insecticide kills 50% of all insects in laboratory experiments. A sample of 7 insects is…

A: The objective of this question is to find the probability that exactly 4 out of 7 insects will…

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

A: Givenprobability of growing into a healthy plant=0.75probability of doesn't…

Q: A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 9 insects is…

Q: A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 6 insects is…

A: The objective of this question is to find the probability that exactly 2 out of 6 insects will…

Q: On average, 40 jobs arrive per day at a factory. The time between arrivals of jobs is exponentially…

A: On average 40 jobs arrive at a factory.The factory can process an average of 42 jobs per day.The…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: A survey of 2,350 adults reported that 54% watch news videos. Suppose that you take a sample of…

A: For a random sample of 500 adults, 54% watch news videos.

Q: A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 1111…

A: Step 1: The total number of insects is 11.The probability of killed all insects in the lab is…

Q: Doctors have indicated that 33% of the US population has A+ blood which is the second most common…

Q: Historical data indicates that Rickenbacker Airlines receives an average of 2.4 complaints per day.…

A: Obtain the probability that on a given day , Rickenbacker Airlines will receive at least 3…

Q: The frequency of twin births has been increasing in recent years so that in 2022 about 4% of all…

A: From given in 2022 about 4% of all births were twins. and The probability of a birth being that of…

Q: A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 6 insects is…

A: The objective of this question is to find the probability that exactly 4 out of 6 insects will…

Q: A survey of 2,350 adults reported that 54% watch news videos. Suppose that you take a sample of…

Q: It is estimated that 3.5% of current high school seniors will live past their 90th birthday. If a…

Q: Suppose that it rains in Spain an average of once every 8 days, and when it does, hurricanes have a…

A: Let R be the event that it rains in Spain. So P(R) = 1/8 = 0.125 Also let H be the event that there…

Q: 3. The data in the table to the right are based on a life table. It shows the number of men, from a…

A: Note: Hi! Thank you for the question. As you have posted multiple sub-parts, we have helped you…

Question

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

Similar questions

During one year, a particular mutual fund outperformed the S&P 500 index 32 out of 52 weeks. Find the probability that it would perform as well or better again. Round to four decimal places as needed
If a 60 year-old buys a $1000 life insurance policy at a cost of $70 and has a probability of 0.921 of living to age 61, find the expectation of the policy until the person reaches 61. Round your answer to the nearest cent
Records kept by the National Ski Patrol and the National Safety Council show that, over a period of 14 years, 52.25 million people visited the slopes annually, with an average of 34 deaths each year. Assuming these figures are current, what is the probability that a skier will die in a skiing accident in a given year? (Round your answer to eight decimal places.)
A certain insecticide kills 80% of all insects in laboratory experiments. A sample of 14 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 2 insects will survive? Round your answer to four decimal places.
A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
On the average, a certain computer part lasts ten years. The length of time the computer part lasts is exponentially distributed. a. What is the probability that a computer part lasts more than 7 years?
An insurance company has written 50 policies for $125,000, 100 policies for $30,000, and 250 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0012, how much can the company expect to pay out during the year the policies were written?
If a seed is planted, it has a 95% chance of growing into a healthy plant.If 12 seeds are planted, what is the probability that exactly 3 don't grow? Round your answer to three decimal places.
The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours. a. What is the probability the circuit will last more than 4,750 hours? b. What is the probability the circuit will last between 4,000 and 4,250 hours? c. What is the probability the circuit will fail within the first 3,750 hours?
If the probability that an individual will suffer a bad reaction to a given vaccine is 0.19. Determine the probability that out of 3 individuals, at least two will suffer a bad reaction. [The answer should be a number rounded to five decimal places, don't use symbols such as %]
A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places.
Suppose that it rains in Spain an average of once every 11 days, and when it does, hurricanes have a 9% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 3% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.)