A binomial experiment consists of 500 trials. The probability of success for each trial is 0.5. What is the probability ofobtaining 245-260 successes? Approximate the probability using a normal distribution. (This binomial experiment easilypasses the rule-of-thumb test for approximating a binomial distribution using a normal distribution, as you can check.When computing the probability, adjust the given interval by extending the range by 0.5 on each side.)Click the icon to view the area under the standard normal curve table.The probability of obtaining 245-260 successes is approximately(Round to two decimal places as needed.)

Answered: A binomial experiment consists of 500…

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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62% of adults in a population have an HDTV in their home. You randomly select 45 adults and ask them if they have an HDTV in their home. What is the probability that at most 20 of them respond yes? Use binomial distribution and normal distribution approximation. Compare your results.
Lawrence likes to shoot a bow and arrow in his free time. On any shot, he has about a 10% chance of hitting the bull's-eye. As a challenge one day, Lawrence decides to keep shooting until he gets a bull's-eye. Let Y = the number of shots he takes. Does this scenario describe a binomial setting? Justify your answer. Yes, this is a binomial setting and X has a binomial distribution with n = 10 and p = 0.10. No, this is not a binomial setting because the probability of success is not the same for each trial. No, this is not a binomial setting because the trials are not independent. No, this is not a binomial setting because there are not a fixed number of trials. No, this is not a binomial setting because the given scenario is not binary.
The mean percent of childhood asthma prevalence in 43 cities is 2.21%. A random sample of 30 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.5%? Interpret this probability. Assume that σ=1.22%.
Match n = 4, n = 8, n= 12 with the correct graph. Each histogram shown below represents part of a binomial distribution. Each distribution has the same probability of successp but different numbers of trials n. AP(x) 0.40- AP(x) 0.40 0.30- 0.30- 0.20- 0.20- 0.10- 0.10- 0.00- 0 3 6 9 12 0.00- 0 3 6 9 12 (a) (b) AP(x) 0.40- 0.30- 0.20- 0.10- 0.00 **** Histogram (a) has the number of trials n = Histogram (b) has the number of trials n = Histogram (c) has the number of trials n = What happens as the value of n increases and the probability of success remains the same? O A. As n increases, the distribution becomes more skewed right. O B. As n increases, the distribution becomes more skewed left. OC. As n increases, the distribution becomes more symmetric.
7 2.7 17 17.4 17 弁ン רר 15. Alma has 9 bags of candy. Each bag has 5 packets of candy. Each packet has 6 pieces of candy. How many pieces of candy does Alma have in total? Show your thinking. chips pieces
You need to compute the probability of 5 or fewer successes for a binomial experiment with 10 trials. The probability of success on a single trial is 0.54. Since this probability of success is not in the table, you decide to use the normal approximation to the binomial. Is this an appropriate strategy? Explain. O No, np 5. O No, np > 5. US V O 2:15 0% 8. 5
Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
Five percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ= (Round to the nearest hundredth as needed.)
A weighted coin has a 0.486 probability of landing on heads and a 0.514 probability of landing on tails. If you toss the coin 27 times, we want to know the probability of getting heads exactly 11 times.Consider a toss of heads as success in the binomial distribution.
Consider a binomial experiment with 15 trials and probability 0.45 of success on a single trial. Use the normal distribution to approximate the probability of exactly 10 successes. (Round your answer to four decimal places.)0.050
78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America Find the variance of the binomial distribution. σ2=nothing (Round to the nearest tenth as needed.)
A popular resort hotel has 300 rooms and is usually fully booked. About 7% of the time a reservation is canceled before the 6 p.m. deadline with no penatly. What is the probability that at least 285 rooms will be occupied? Use the binomial distribution to find the exact value.

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