Question

The average score in the final exam of a course is 65 and the standard deviation...

The average score in the final exam of a course is 65 and the standard deviation is 10. a) Give an upper bound on the probability of a student scoring more than 95? b) Suppose the scores follow a normal distribution. Compute the probability of a student scoring more than 95 and compare it to the bound obtained in a)

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

A) less than 0.003

B) P(score > 95) = 1-p(Z < (95-65)/10)= 1- p(Z< 3) = 1-0.9987= 0.0013

Add a comment
Know the answer?
Add Answer to:
The average score in the final exam of a course is 65 and the standard deviation...
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 average score on an exam was reported as 61% with a standard deviation of 16%....

    The average score on an exam was reported as 61% with a standard deviation of 16%. You may assume exam scores are normally distributed. If I select 10 people at random, what is the probability that the average of their scores would be … (A) …more than 50%? (B) …between 70% and 85%?

  • Example 3 The scores on a midterm exam follow a normal distribution with an average of...

    Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?

  • Scores on exam-1 for a statistics course are normally distributed with mean 65 and standard deviation...

    Scores on exam-1 for a statistics course are normally distributed with mean 65 and standard deviation 1.75. What scores separates highest 15% of the observations of the distribution ?

  • The average final exam score for the statistics course is 75%. A professor wants to see...

    The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 82, 73, 89, 67, 89, 74, 98, 68, 73, 65, 97, 77, 74, 76, 73,...

  • Suppose that scores on a statistics exam are normally distributed with a mean of 77 and...

    Suppose that scores on a statistics exam are normally distributed with a mean of 77 and a standard deviation of 4. Find the probability of a student scoring less than 80 on the exam using the following steps. (a) What region of the normal distribution are you looking to find the area of? (to the left of a zscore, to the right of a z-score, between two z-scores, or to the left of one z-score and to the right of...

  • The average final exam score for the statistics course is 82%. A professor wants to see...

    The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 89, 96, 70, 93, 95, 89, 100, 93, 71, 80, 91, 100, 75 What can...

  • IV. Continuous Distribution: Normal Normal 1. The average time to complete a final exam in a...

    IV. Continuous Distribution: Normal Normal 1. The average time to complete a final exam in a given course is normally distributed. With average of 80 min, and standard deviation of 8 minutes. For a certain student taken at random: to. What is the probability of finishing the exam in an hour or less? b. What is the probability of finishing the exam between 60 min and 70 min? Exponential 2. The time to fail in hours of a laser beam...

  • The average final exam score for the statistics course is 74%. A professor wants to see...

    The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 95, 87, 86, 87, 72, 69, 70, 99, 78, 78, 91, 69, 72, 73, 61,...

  • The average final exam score for the statistics course is 75%. A professor wants to see...

    The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 15 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 63, 81, 82, 65, 75, 49. 86, 75, 56, 62, 72, 83, 81, 66, 48...

  • The final exam scores of students taking a statistics course are normally distributed with a population...

    The final exam scores of students taking a statistics course are normally distributed with a population mean of 72 and a population standard deviation of 8. If a student taking this statistics course is randomly selected, what is the probability that his/her final exam score is between 60 and 84? A .4332 .9332 C .8664 .1336 Submit Answer

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
ADVERTISEMENT