Question

According to a recent survey, 75% of American households have a Vacuum Cleaner. If 20 American...

According to a recent survey, 75% of American households have a Vacuum Cleaner. If 20 American households are selected at random, find the probability that 18 of them have a Vacuum . Out of the selected households, what is the probability that there is more than 1 Vacuum?  What is the probability out of the selected households, that there is at most 3 Vacuum ?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Number of American households have a Vacuum Cleaner in random sample X ~ Binomial(n = 20, p = 0.75)

probability that 18 of them have a Vacuum = P(X = 18)

= 0.06694781

probability that there is more than 1 Vacuum = P(X > 1)

= 1 - P(X = 0) - P(X = 1)

= 1 - 0.0000 - 0.0000

= 1

probability out of the selected households, that there is at most 3 Vacuum = P(X 3)

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= 0.0000 + 0.0000 + 0.0000 + 0.0000

= 0

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to a survey of American households, the probability that the residents own a car if...
According to a survey of American households, the probability that the residents own a car if annual household income is over $20,000 is 75%. Of the households surveyed, 55% had incomes over $20,000 and 70% had a car. Find the probability that the residents of a household do not own a car and have an income over $20,000.
According to recent surveys, 60% of households have personal computers. If a random sample of 180...
According to recent surveys, 60% of households have personal computers. If a random sample of 180 households is selected, what is the probability that more than 60, but fewer than 100, have a personal computer. Use the normal approximation and express your answer as a decimal. Please round to the nearest thousandth.
According to one survey taken a few years ago, 32% of American households have attempted to...
According to one survey taken a few years ago, 32% of American households have attempted to reduce their long-distance phone bills by switching long-distance companies. Suppose that business researchers want to test to determine if this figure is still accurate today by taking a new survey of 75 American households who have tried to reduce their long-distance bills. Suppose further that of these 75 households, 22% say they have tried to reduce their bills by switching long-distance companies. Is this...
According to a survey of American households, the probability that the residents own two cars if...
According to a survey of American households, the probability that the residents own two cars if annual household income is over $65,000 is 75%. Of the households surveyed, 55% had incomes over $65,000 and 71% had two cars. The probability that the residents of a household own two cars and do not have an income over $65,000 a year is ________. (Round your answer to three decimal places. Express your answers as a probability, not a percentage.)
According to a survey of American households, the probability that the residents own 2 cars if...
According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars. 1. What is the probability that the residents of a household own 2 cars and have an income less than or equal to $50,000 a year? 2. What is the probability that the residents of a household do not own 2 cars...
According to a survey of American households, the probability that the residents own two cars if...
According to a survey of American households, the probability that the residents own two cars if annual household income is over $75,000 is 73%. Of the households surveyed, 60% had incomes over $75,000 and 72% had two cars. The probability that the residents of a household own two cars and have an income over $75,000 a year is..... round 3 decimal places
Suppose that a recent poll of American households about pet ownership found that for households with...
Suppose that a recent poll of American households about pet ownership found that for households with a pet, 39% owned a dog, 33% owned a cat, and 7% owned a bird. Suppose that three households are selected randomly and with replacement. 1. What is the probability that all three randomly selected households own a bird? 2. What is the probability that none of the three randomly selected households own a dog? 3. What is the probability that at least one...
According to a survey of American households, the probability that the residents own 2 cars if...
According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $25,000 is 80%. Of the households surveyed, 60% had incomes over $25,000 and 70% had 2 cars. Use the Bayes Theorem to calculate the probability that annual household income is at most $25,000 if the residents of a household do not own 2 cars
According to a survey of American households, the probability that the residents own 2 cars if...
According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $25,000 is 80%. Of the households surveyed, 60% had incomes over $25,000 and 70% had 2 cars. Use the Bayes Theorem to calculate the probability that annual household income is at most $25,000 if the residents of a household do not own 2 cars.
According to a recent survey, 20% of college students purchase their lunch in the cafeteria. Assume...
According to a recent survey, 20% of college students purchase their lunch in the cafeteria. Assume 5 students are randomly selected. Use the binomial table in the text to answer the following questions. a. What is the probability that all 5 eat in the cafeteria? b. What is the probability that at least 3 eats in the cafeteria? c. What is the probability that not more than 4 eat in the cafeteria? d. What is the probability that exactly 1...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT