0-75% of people live in the city and 25% live in the suburbs. we take a...
Suppose that 14% of the people in a large city have used a hospital emergency room in the past year. If a random sample of 125 people from the city is taken, approximate the probability that fewer than 19 used an emergency room in the past year. Use the normal approximation to the binomial with a correction for continuity.
In a certain city of several million people, 6.4% of the adults are unemployed. If a random sample of 255 adults in this city is selected, approximate the probability that at most 17 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
1. Suppose that 81% of the people in Houston live in the city and 19% of the people live in the suburbs. If the 21,000 undergraduate students from UH represent a random sample of the population, what is the probability that the number of UH undergraduates are from suburbs will be fewer than 4,000? (Hint: Apply normal approximation to binomial probability via CLT.) 2. Suppose that the body mass index (BMI) measure for adults is normally distributed with mean 21.7...
According to a study, 75% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered and 158 of 200 respondents indicated that they live at home. (a) Use the normal approximation to the binomial to approximate the probability that at least 158158 respondents live at home. (b) Do the results from part (a) contradict the study? (a)...
OD Suppose that 12% of the population of the U.S. is left-handed. If a random sample of 130 people from the U.S. is chosen, approximate the probability that at most 14 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.)
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...
STA 2171 HW3 Page 3 of 12 2. We know under certain conditions that the Normal distribution approximates the Bino- mial distribution. But the Normal distribution approximates another important discrete distribution: the Poisson distribution. The Poisson distribution is a one-parameter distribution frequently used to model the number of events that occur over a specified time period. For example, if we are interested in the modeling the number of babies born in a particular hospital during one day, then we might...
In a survey of 300 people, approximately 15% of the people identified themselves as being left-handed. What are the mean, standard deviation, and shape of the distribution of thesample proportion p-hat of respondents who say they are left-handed? (3 points) Using the normal approximation without the continuity correction, sketch theprobability distribution curve for the distribution of p-hat. Shade equal areas onboth sides of the mean to show an area that represents a probability of .95,and label the upper and lower...
In a survey of 300 people, approximately 15% of the people identified themselves as being left-handed. What are the mean, standard deviation, and shape of the distribution of thesample proportion p-hat of respondents who say they are left-handed? (3 points) Using the normal approximation without the continuity correction, sketch theprobability distribution curve for the distribution of p-hat. Shade equal areas onboth sides of the mean to show an area that represents a probability of .95,and label the upper and lower...
Check My Worl eBook New York City is the most ex standard deviation of $55. Use Table 1 in Appendix B in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distribute What is the probability that a hotel room costs $225 or more per night (to 4 decimals)? 0.3513 b. What is the probability that a hotel room costs less than $140 per...