Question

According to a​ census, approximately 5​% of the population earned between ​$75,000 and 100,000 annually in 2008. A rand...

According to a​ census, approximately

5​%

of the population earned between

​$75,000

and 100,000

annually in 2008. A random sample of

30

people in the population was selected.

a. Use the binomial distribution to determine the probability that fewer than three individuals earned between

75,000

and

100,000

annually in 2008.

b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three individuals earned between

75,000

and

100,000

annually in 2008.

c. How do these two probabilities​ compare?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

randara racialile presntng of peple $75000 0md $loo, eaning Jetreen -0.05- 30 Pr binanial diotra butin a) h-a we hare to cale

Add a comment
Know the answer?
Add Answer to:
According to a​ census, approximately 5​% of the population earned between ​$75,000 and 100,000 annually in 2008. A rand...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Assume that the proportion of green eyes in the world's population is approximately 080. A random...

    Assume that the proportion of green eyes in the world's population is approximately 080. A random sample of thirty people is taken, and six of the thirty have green eyes. A) Using the normal approximation to the binomial, find the probability of finding six people with green eyes in a sample of thirty B) Repeat part A, but this time use the binomial distribution instead of the normal approximation. C) Compare your results from parts A and B. Does the...

  • Let x be a binomial random variable with n = 20 and p = 0.05. Calculate...

    Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? No the approximation is not accurate. At least one the differences between the probabilities from...

  • 70% of all Americans live in cities with population greater than 100,000 people. If 35 Americans...

    70% of all Americans live in cities with population greater than 100,000 people. If 35 Americans are randomly selected find the probability that a. Exactly 24 of them live in cities with population greater than 100,000 people. b. At most 23 of them live in cities with population greater than 100,000 people. e. At least 26 of them live in cities with population greater than 100,000 people. d. Between 20 and 27 (including 20 and 27) of them live in...

  • 8.9 According to the National Center for Health Statistics, as of 2012, it is estimated that...

    8.9 According to the National Center for Health Statistics, as of 2012, it is estimated that 24% of adults in Missouri smoke. You wish to know the probability of selecting from this popula- tion a random sample of 30 people containing 8 or fewer smokers a. Use a statistical program to determine the exact probability of getting 8 or fewer smok- ers. (Hint: refer to section 5.4.) b. Now use the normal approximation of the binomial distribution to answer the...

  • please explain by steps! very confused 10) The average charitable contribution itemized per income tax return...

    please explain by steps! very confused 10) The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that the distribution of contributions is normal with a standard deviation of $103. Find the limits for the middle 60% of contributions. 4:02 < Back Assignment Details STAT-10-06534 The Normal Approximation to the Binomial 11) According to American Airlines, Flight 215 from Orlando to Los Angeles is on time 90% of the time. Randomly select 150 flights and use...

  • Please answer this question/explain entirely thanks! 8.9 According to the National Center for Health Statistics, as...

    Please answer this question/explain entirely thanks! 8.9 According to the National Center for Health Statistics, as of 2012, it is estimated that 24% of adults in Missouri smoke. You wish to know the probability of selecting from this popula- tion a random sample of 30 people containing 8 or fewer smokers. a. Use a statistical program to determine the exact probability of getting 8 or fewer smok- ers. (Hint: refer to section 5.4.) b. Now use the normal approximation of...

  • 1. One way of exposing under-coverage, non-response and other sources of error in sample surveys ...

    1. One way of exposing under-coverage, non-response and other sources of error in sample surveys is to compare the results with known facts about the population. According to the 2010 US Census, about 1.6% of the population of the USA is Native American so the number of Native Americans in large random samples should vary approximately Normally. (a, b) What are the criteria for assessing whether a binomial sample can be approximated by a Normal distribution? (c) Based on those...

  • Spring 2020 5. Approximately 14% of the world's population speaks Chinese as their native language. (a)...

    Spring 2020 5. Approximately 14% of the world's population speaks Chinese as their native language. (a) If we randomly select 405 people from anywhere in the world, find the mean and the standard deviation for the count of Chinese speakers in the sample. (5 points) n = YUS P .147 (b) A sample of 405 people from all people is selected, determine whether finding 33 or more people who speak Chinese in this sample would be unusual. Use the z-score...

  • 2. Figures from the 2016 Census of Population show the following figures for rent paid in Ireland according to the nati...

    2. Figures from the 2016 Census of Population show the following figures for rent paid in Ireland according to the nationality of the renter: Weekly Other Other Total Irish African or American Rent Paid Asian European 4790 779 1750 3484 3708 K50 50-99 65614 73034 127 491 1133 1819 72443 89348 89962 70064 12254 25706 24077 38825 100-149 58299 1529 944 150-199 39984 1175 1120 200+ All 74394 8556 3871 3442 129088 311325 105652 18277 6553 9098 450905 (a) Use...

  • Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens...

    Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens completely randomly, calculate the probability that three randomly selected patients all contract an SSI in each of the following two ways: Using counting rules and probability trees (10%) Using the binomial distribution (hint: n=3, p=0.0826) (10%) Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens completely randomly, in a random selection of 10, calculate the following probabilities,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT