Question

The GPAs of a large population of college students are approximately normally distributed with mean 2.4...

The GPAs of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. Use R to find the probability that a randomly selected student will have a GPA greater than 3.0? (Include the R -code with the output).

I really need help with the R code

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Here' the answer. Write back in case you've any questions.

I have coded P(X>3 ) in R.

### Code to take out probability P(X>3) ####

Mean = 2.4
Stdev = 0.8
X = 3

Z <- (X-Mean)/Stdev

# P(X>3) = 1 - P(X<=3)
probability <- 1 - pnorm(Z)

"probability " variable has the value probability 0.2266274

Answer: 0.2266274

Add a comment
Know the answer?
Add Answer to:
The GPAs of a large population of college students are approximately normally distributed with mean 2.4...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The grade point averages (GPAs) of a large population of college students are approximately normally distributed...

    The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. (a) What fraction of the students will possess a GPA in excess of 2.95? Use the standard normal table and interpolate (report 4 d.p.). (b) Suppose that three students are randomly selected from the student body. What is the probability that at least two will possess a GPA in excess of 2.95? (c) Suppose the standard deviation...

  • Problem #6: The grade point averages (GPAs) of a large population of college students are approximately...

    Problem #6: The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.5 and standard deviation 0.80. (a) What proportion of the students will possess a GPA greater than 3.0? (b) Suppose that 10 students are randomly selected from the student body. What is the probability that atmost 4 among 10 will possess a GPA greater than 3.0? (c) What would be the maximum GPA so that only 10% of the students...

  • 3) The grade point averages of a large population of college studenta is approximately normally distributed...

    3) The grade point averages of a large population of college studenta is approximately normally distributed with mean 2.4 and standard deviation 0.8. What fruction of the students will possess a grade point average in excess of 3.0? 4) Refer to problem 3). If students possessing a grade point average lees than 1.9 are dropped from the college, what percentage of the students will be dropped?

  • In a large population of college-educated adullts, the IQ is Normally distributed with a mean of...

    In a large population of college-educated adullts, the IQ is Normally distributed with a mean of 118 and standard deviation 20. Suppose 100 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ is approximately Normal with mean 118, standard deviation 2. approximately Normal with mean 118 and standard deviation 10. approximately Normal with mean equal to the observed value of the sample mean and standard deviation 20. approximately Normal with...

  • Suppose that the student body in a large university have normally distributed GPAs with a mean...

    Suppose that the student body in a large university have normally distributed GPAs with a mean of μ=2.91 and standard deviation σ=0.38. You randomly select a sample of n=29 students. The probability is 0.95 (with the complement split evenly between the tails) that the standard deviation of your sample will be between what two numbers? Round your answers to four decimal places. ________ ≤ s ≤ ________

  • The distribution of GPAs is normally distributed with a mean of 2.7 and a standard deviation...

    The distribution of GPAs is normally distributed with a mean of 2.7 and a standard deviation of 0.3. Approximately what percentage of students have GPAs above 3.0? We were unable to transcribe this image

  • QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal...

    QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.30. Find the probability that the mean GPA of a random sample of 49 students selected from this university is 2.75 or lower. Round your answer to four decimal places. Attach File

  • 3 (20 polnts). In a poll of FIU students, you collect data on student GPAS. Suppose...

    3 (20 polnts). In a poll of FIU students, you collect data on student GPAS. Suppose that d with a mean GPA (u) of 3.0 and a standard deviation (o) of o.5. a) What is the probability that an individual student has a GPA of 3.4 or higher? you collect data on student GPAs. Suppose that GPAs are b) What is the probability that the average GPA of four randomly sampled students is 3.4 or higher?

  • Suppose the differences in GPAs of all the students in one university in the two most...

    Suppose the differences in GPAs of all the students in one university in the two most recent semesters (the GPA in the current semester minus the GPA in the last semester) are normally distributed with a mean of 0.2 and a standard deviation of 0.18. What is the probability that a randomly picked student from this university is having a lower GPA in the current semester than what he/she received in the last semester?

  • The weight of the potatoes is approximately normally distributed with population mean μ=10 ounces and population...

    The weight of the potatoes is approximately normally distributed with population mean μ=10 ounces and population standard deviation σ=1.5 ounces. Use 68-95-99.7 rule to answer the questions below: a). What is the probability that a randomly selected potato weighs over 13 ounces? b). What is the probability that a randomly selected potato weighs below 8.5 ounces? c). What is the probability that a randomly selected potato weighs between 8.5 ounces and 10 ounces? d).What is the probability that a randomly...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT