Question

The marks obtained by students from previous classes are normally distribution with a mean of 75...

The marks obtained by students from previous classes are normally distribution with a mean of 75 and a standard deviation of 10.

the probability that a student is having a mark between 70 and 90 in this distribution?

how many students will fail in Statistics if the passing mark is 65 for a class of 100 students?

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

X has a normal distribution with mean u =75 and standard deviation o=10 a) We have P(70<x<90) = P(10775 <*< 9775) =P(-0.5<z<-

b) We have P(x<65) =P (*< $50 =P(z<-1.00) =0.1587 (using z value table) If 100 students of class number of students will fai

Add a comment
Know the answer?
Add Answer to:
The marks obtained by students from previous classes are normally distribution with a mean of 75...
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
  • A professor of statistics noticed that the marks in his course are normally distributed. He also...

    A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 75% with a standard deviation of 13% on their final exams. His afternoon classes average 76% with a standard deviation of 12%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = .4761 B. What is the...

  • The marks obtained by the students at an examination are found to be normally distributed with...

    The marks obtained by the students at an examination are found to be normally distributed with u = 6565 and o = 6. If a random sample of 100 students is taken, what is the probability that the mean marks will be between 65 and 66?

  • The marks in a university statistics course are normally distributed with a mean of 68% and...

    The marks in a university statistics course are normally distributed with a mean of 68% and a standard deviation of 6%. Sketch the normal distribution for the course. Label the scale on the horizontal axis. Calculate the z-score for a student with a mark of 79%, and explain what it means.    Calculate the probabilities for a student to have the following grades:                   (i) Greater than 60% (ii) Between 70% and 80% 2. The mid tirm grades had a...

  • 3. (4 points) The scores on a test are normally distributed with a mean of 75...

    3. (4 points) The scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. a) Find the proportion of students having scores greater than 85. b) If the bottom 3% of students will fail the course, what is the lowest score that a student can have and still be awarded a passing grade? Please round up to the nearest integer.

  • The marks on a statistics mid-semester exam are normally distributed with a mean of 78 and...

    The marks on a statistics mid-semester exam are normally distributed with a mean of 78 and a standard deviation of 6. a What proportion of the class has a mid- semester mark of less than 75? b What is the probability that a class of 50 has an average mid-semester mark that is less than 75?

  • The results from a statistics class' first exam are as follows: The mean grade obtained by...

    The results from a statistics class' first exam are as follows: The mean grade obtained by its 25 students is 83, with a standard deviation of 11. The distribution of grades was unimodal and symmetrical. What is the probability that a student received a grade above 90? The results from a statistics class' first exam are as follows: The mean grade obtained by its 25 students is 83, with a variance of 121.  The distribution of grades was unimodal and symmetrical....

  • QUESTION FIVE (20 MARKS) a) The marks obtained in a Business Statistics CAT are normally distributed...

    QUESTION FIVE (20 MARKS) a) The marks obtained in a Business Statistics CAT are normally distributed with mean of 23and standard deviation of 4.2. Find the probability that a randomly selected student scores: (i) More than 25 marks (ii) Between 20 and25 marks (iii) Less than the mean mark? (2 Marks) (3 Marks) (3 Marks) b) Differentiate between the following terms as used in Hypothesis testing (i) Null and alternative hypothesis (ii) One tailed and two tailed tests (ii) Type...

  • The marks on a statistics midterm test are normally distributed with a mean of 75 and...

    The marks on a statistics midterm test are normally distributed with a mean of 75 and a standard deviation of 6. What is the probability that a sample of 25 exams has a sample mean between 71 and 73? a. 0.45293 b. 0.0475 c. 0.04793 d. 0.0485 e. 0.04707

  • Scores on Professor Combs Statistics Final Exams have a long term history of being normally distributed with a mean of μ=70 and a standard deviation of σ=8

    Scores on Professor Combs Statistics Final Exams have a long term history of being normally distributed with a mean of μ=70 and a standard deviation of σ=8 a.) Find the probability that a single student will score above a 75 on the Final exam. b.) Find the probability that a single student will score between a 65 and 75 on the Final exam. c.) Find the probability that an entire class of 20 students will have a class average above a 75 on...

  • In previous years, the marks obtained in a French test by students attending Topnotch College have...

    In previous years, the marks obtained in a French test by students attending Topnotch College have been modelled satisfactorily by a normal distribution with a mean of 65 and a standard deviation of 9. Teachers in the French department at Topnotch College suspect that this year their students are, on average, underachieving. In order to investigate this suspicion, the teachers selected a random sample of 35 students to take the French test and found that their mean score was 61.5...

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