Question

At a certain college in Louisiana, it is claimed that 77% of the students at the...

  1. 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)
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution: The mean and standard deviation is given below:

We are required to find:

Using the continuity correction, we have to find:

Now using the z-score formula, we have:

Now using the standard normal table, we have:

Therefore, the probability that 370 or more of the students are receiving some form of tuition assistance is 0.9927

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
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...
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?
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?
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.)
Census data show that 3?% of students in a certain country went to college or a...
Census data show that 3?% of students in a certain country went to college or a trade school within a year of graduating from high school. A random sample of 453 high school graduates is selected. Use the normal approximation to the binomial distribution to complete parts a through e below. a. What are the mean and standard deviation of this? distribution? b. What is the probability that 16 or fewer students will go to? college? c. What is the...
In a certain school district, it was observed that 31% of the students in the element...
In a certain school district, it was observed that 31% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 77 out of 204 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05α=0.05 level of significance. Using the normal approximation...
Two percent of hairdryers produced in a certain plant are defective. Estimate the probability that of...
Two percent of hairdryers produced in a certain plant are defective. Estimate the probability that of 10,000 randomly selected hair dryers, exactly 225 are defective. (Hint: use the normal distribution as an approximation to the binomial distribution).
At a certain college, 53% of the students are female, and 17% of the students major...
At a certain college, 53% of the students are female, and 17% of the students major in civil engineering. Furthermore, 12% of the students both are female and major in civil engineering. (a)What is the probability that a randomly selected female student majors in civil engineering? Round your answer to the nearest hundredth. (b)What is the probability that a randomly selected civil engineering major is female? Round your answer to the nearest hundredth.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT