Question

In: Statistics and Probability

Researchers at the University of Pennsylvania School of Medicine have determined that children under 2 years...

Researchers at the University of Pennsylvania School of Medicine have determined that children under 2 years old who sleep with the lights on have a 33% chance of becoming myopic before they are 16. Children who sleep in darkness have a 22% probability of becoming myopic. A survey indicates that 26% of children under 2 sleep with some light on. Find the probability that a random child under 2 will become myopic before reaching 16 years old.

Solutions

Expert Solution

Answer:

Given that:

Researchers at the University of Pennsylvania School of Medicine have determined that children under 2 years old who sleep with the lights on have a 33% chance of becoming myopic before they are 16.

Children who sleep in darkness have a 22% probability of becoming myopic. A survey indicates that 26% of children under 2 sleep with some light on.

Probability that a random child under 2 will become myopic before reaching 16 years old.

So, answer is 0.2486 or 24.86%


Related Solutions

researchers at a university studied children born with an infection called roseola. the children also have...
researchers at a university studied children born with an infection called roseola. the children also have the causative herpesvirus inserted into their chrome osmoses. At least one parent of each child had the virus in a chromosome of a sampled hair cell. How did the children like;y become infected? and What does the transmission of the viral DNA from generation to generation reveal about the structure of DNA and its replication?
Researchers are comparing the proportion of University Park students who are Pennsylvania residents to the proportion...
Researchers are comparing the proportion of University Park students who are Pennsylvania residents to the proportion of World Campus students who are Pennsylvania residents. Data from a sample are presented in the contingency table below. Primary Campus Total University Park World Campus Pennsylvania Resident Yes 115 70 185 No 86 104 190 Total 201 174 375 Construct a 95% confidence interval to estimate the difference between the proportion of all University Park students who are Pennsylvania residents and the proportion...
Sue and Bill are married. They have 2 children under 17 years old. They qualify for...
Sue and Bill are married. They have 2 children under 17 years old. They qualify for the $2000 child tax credit for both children. Everyone in the family was covered with health insurance for the entire year in 2018 Their total wages combined are $78,928 Federal tax withheld for both of them is $6495 Interest income $575 Tax exempt interest $275 After tax medical paid $6587 Mortgage interest paid $9300 The acquisition debt for the mortgage is $385,000 Property taxes...
Researchers at the University of Pennsylvania studied the humor of late-night comedians Jon Stewart, Jay Leno,...
Researchers at the University of Pennsylvania studied the humor of late-night comedians Jon Stewart, Jay Leno, and David Letterman. Between July 15 and September 16, 2004, they performed a content analysis of the jokes made by Jon Stewart during the “headlines” segment of The Daily Show and by Jay Leno and David Letterman during the monologue segments of their shows. (We will consider this a random sample of all their jokes.) A summary of the data that they gathered was:  ...
Rita Dominic is a 27 year old Namibian Female who studied medicine at the University of Namibia, School of Medicine
NAMIBIA, AFRICA COMPANY LAW QUESTIONRead the following scenario then draft the contract of employment.Rita Dominic is a 27 year old Namibian Female who studied medicine at the University of Namibia, School of Medicine, Hage Geingob Campus from 2015 to 2019 respectively of which she graduated with flying colours. Rita was retained by Rhino Park Private Hospital to do her practical attachment there. Rita’s immediate supervisor was very impressed with how quick Rita excelled at her practical training and has recommended...
2. Recent data from graduates of KU School of Medicine in the past two years found...
2. Recent data from graduates of KU School of Medicine in the past two years found that the mean starting salary for the 104 female physicians in their sample was $224,426.12 with a standard deviation of $27,792.73. For the 90 male physicians, the mean starting salary was $235,044.12 with a standard deviation of $33,509.25. a) Is this sufficient evidence at alpha=.01 that among graduates of KU School of Medicine in the past two years the mean starting salary for men...
According to a recent study, 40% of children under the age of 2 have used a...
According to a recent study, 40% of children under the age of 2 have used a mobile device as a form of entertainment (i.e play video games, watch movies, listen to, music, etc.) If a random sample of 200 children under the age of 2 is selected determine the probability that: a) at least 45 % have used a mobile device as a form of entertainment. b) between 37% and 48% have used a mobile device as a form of...
Researchers would like to know whether the proportions of elementary school children who are obese differ...
Researchers would like to know whether the proportions of elementary school children who are obese differ in rural and urban area. An earlier study found that 50% of urban school children and 45% of rural school children are obese. The researchers select 153 urban school children and 191 rural school children. Suppose [^(p)]1 and [^(p)]2 denote sample proportions of urban and rural school children respectively who are obese. Answer all the questions below (where appropriate) as a fraction not as...
A Rutgers University study found that many high school students cheat on tests. The researchers surveyed...
A Rutgers University study found that many high school students cheat on tests. The researchers surveyed a random sample of 4500 high school students nationwide; 74% of them said they had cheated at least once. a) Create a 90% confidence interval for the level of cheating among high school students. (Use your calculator to create this interval. Do not do the calculations by hand.) b) Interpret your interval. c) Would a 95% confidence interval be wider or narrower? Explain.
Twenty years​ ago, 46​% of parents of children in high school felt it was a serious...
Twenty years​ ago, 46​% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 190 of 750 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years​ ago? Use the alpha equals 0.05 level of significance.Because...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT