# Question

Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5.

a. One student is chosen at random from this campus.

What is the probability that this student has a grade point average higher than 3.0?

b. One student is chosen at random from this campus.

What is the probability that this student has a grade point average between 2.25 and 2.75?

c. What is the minimum grade point average needed for a student's grade point average to be among the highest 10% on this campus?

d. A random sample of 400 students is chosen from this campus. What is the probability that at least 80 of these students have grade point averages higher than 3.0?

e. Two students are chosen at random from this campus. What is the probability that at least one of them has a grade point average higher than 3.0?

a. One student is chosen at random from this campus.

What is the probability that this student has a grade point average higher than 3.0?

b. One student is chosen at random from this campus.

What is the probability that this student has a grade point average between 2.25 and 2.75?

c. What is the minimum grade point average needed for a student's grade point average to be among the highest 10% on this campus?

d. A random sample of 400 students is chosen from this campus. What is the probability that at least 80 of these students have grade point averages higher than 3.0?

e. Two students are chosen at random from this campus. What is the probability that at least one of them has a grade point average higher than 3.0?

## Answer to relevant Questions

A company services home air conditioners. It is known that times for service calls follow a normal distribution with a mean of 60 minutes and a standard deviation of 10 minutes. a. What is the probability that a single ...The total cost for a production process is equal to $1,000 plus two times the number of units produced. The mean and variance for the number of units produced are 500 and 900, respectively. Find the mean and variance of the ...A management consultant found that the amount of time per day spent by executives performing tasks that could be done equally well by subordinates followed a normal distribution with a mean of 2.4 hours. It was also found ...Candidates for employment at a city fire department are required to take a written aptitude test. Scores on this test are normally distributed with a mean of 280 and a standard deviation of 60. A random sample of nine test ...Greenstone Coffee is experiencing financial pressures due to increased competition for its numerous urban coffee shops. Total sales revenue has dropped by 15% and the company wishes to establish a sales monitoring process to ...Post your question

0