Question

A survey reports that 53% of college students use Google as their search engine. If 100...

A survey reports that 53% of college students use Google as their search engine. If 100 students of a college were randomly selected and were asked whether he or she uses Google as their search engine. Using normal approximation to probability, what is the probability (with correction for continuity) that at least 66 will say yes?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We have given,      
      
n=100  
p=0.53  
      
np=53  
nq=47  
      
Since, therefore, we need to use here,Normal Approximation for the Binomial Distribution      
      

=P[X>65.5]

=P[Z>2.5045]

=1-0.9939..................by using Z table.

=0.0061

Therefore,

the probability (with correction for continuity) that at least 66 will say yes = 0.0061
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
A survey reports that 65% of college students use Google as their search engine. If 100...
A survey reports that 65% of college students use Google as their search engine. If 100 students of a college were randomly selected and were asked whether he or she uses Google as their search engine. Using normal approximation to probability, what is the probability (with correction for continuity) that more than 65 will say yes?
At a certain college in Louisiana, it is claimed that 77% of the students at the...
At a certain college in Louisiana, it is claimed that 77% of the students at the college are receiving some form of student tuition assistance. If 510 students at this college are randomly selected, use the Normal approximation to binomial distribution to find the probability that 370 or more of the students are receiving some form of tuition assistance. (Hint: Remember to make the continuity correction)
Suppose 5% of college students don’t use social media. We randomly sampled 1000 college students. a....
Suppose 5% of college students don’t use social media. We randomly sampled 1000 college students. a. Let X denote the number of students who don’t use social media in this sample. Calculate the expected value and the standard deviation for X. b. Find the probability of observing 50 or less students who don’t use social media in this sample. If you would like to use normal approximation for binomial distribution, make sure to check the conditions and you don’t need...
Suppose 5% of college students don’t use social media. We randomly sampled 1000 college students. Let...
Suppose 5% of college students don’t use social media. We randomly sampled 1000 college students. Let X denote the number of students who don’t use social media in this sample. Calculate the expected value and the standard deviation for X. Find the probability of observing 50 or less students who don’t use social media in this sample. If you would like to use normal approximation for binomial distribution, make sure to check the conditions and you don’t need to do...
Suppose 5% of college students don’t use social media. We randomly sampled 1000 college students. Let...
Suppose 5% of college students don’t use social media. We randomly sampled 1000 college students. Let X denote the number of students who don’t use social media in this sample. Calculate the expected value and the standard deviation for X. (4 pts) Find the probability of observing 50 or less students who don’t use social media in this sample. If you would like to use normal approximation for binomial distribution, make sure to check the conditions and you don’t need...
Among students at a particular university, 90% have visited the main dining hall at least once....
Among students at a particular university, 90% have visited the main dining hall at least once. What is the probability that of 100 randomly selected students, between 90-93 of them will have visited the main dining hall at least once? Answer this question using the binomial distribution. Approximate this answer using the normal distribution without the continuity correction. Approximate this answer using the normal distribution and the continuity correction. (Take note of how close your approximation is.)
Consider the probability that more than 66 out of 125 students will not pass their college...
Consider the probability that more than 66 out of 125 students will not pass their college placement test. Assume the probability that a given student will not pass their college placement test is 1%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions. Yes or No?
Consider the probability that at most 93 out of 127 students will pass their college placement...
Consider the probability that at most 93 out of 127 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 53%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions. the answer will be in yes or no format
(NORMAL APPOXIMATION TO BINOMIAL) A brokerage survey reports that 27% of all individual investors have used...
(NORMAL APPOXIMATION TO BINOMIAL) A brokerage survey reports that 27% of all individual investors have used a discount broker (one that does not charge the full commission). If a random sample of 70 individual investors is taken, approximate the probability that fewer than 21 have used a discount broker. 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.
A survey asked 2373 randomly sampled college students to choose their fav science class. 53% said...
A survey asked 2373 randomly sampled college students to choose their fav science class. 53% said biology, 44% said chemistry, and 10% said both. what number of students chose chemistry as their fav class and not biology?what percent of students chose chemistry or biology as their fav science class? How many students did not choose chemistry or biology as their fav class?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT