It is assumed that the test results for a class follow a normal distribution with a...

Question

Question

It is assumed that the test results for a class follow a normal distribution with a...

It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84?

What do I know?

What do I want to find out?

What do we expect the answer to be?

How do I go from what I know to what I want to find?

Is the answer consistent with what I expected?

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

It is assumed that the test results for a class follow a normal distribution with a...

It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84?
URGENT 4. The test grades in some class follow a normal distribution (we will call it...

URGENT 4. The test grades in some class follow a normal distribution (we will call it X) with o = 8. Use this information (and the chart!) to answer the following questions: (a) If there is a 60% chance that a student scores higher than a 75, find , the average test grade for this class. (b) Using the you found in part (a), determine P(72 < X <90).
If the results of an examination have a normal distribution with a mean of 78 and...

If the results of an examination have a normal distribution with a mean of 78 and σ = 36 a) What is the probability that a person will obtain a grade higher than 72? b) What should be the minimum passing grade, if the teacher intends that only 28.1% of the students pass (percentage of the right tail)? Write your answer as XX.XX c) What must be the minimum passing grade for only 20% to pass the exam (percentage of...

Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a...

Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 111 and a standard deviation of 10. You select a sample of 64 people. What is the probability of getting a sample mean of greater than 108? .0082 .9918 .3821 .6179
Assume that class grades follow a normal distribution of mean μ = 75 and the variance...

Assume that class grades follow a normal distribution of mean μ = 75 and the variance σ2 =144. a) Find the probability that an individual's grade is greater than 81. b) What should be the interquartile range? c)Suppose you select at random (and independently) 10 students. What is the probability that only two of these students have a grade greater than 75? d) If you draw a sample of size n = 10 from the population of grades described in...
The grade point averages of the students in a large statistics class follow a normal distribution...

The grade point averages of the students in a large statistics class follow a normal distribution with a mean of 3.0 and a standard deviation of 0.25. What is the probability that a randomly sampled student from this class has a GPA of less than 2.95? (hint: you will need to use the table on page 175)

Student grades in a sufficiently large class tend to follow a normal distribution. Suppose the final...

Student grades in a sufficiently large class tend to follow a normal distribution. Suppose the final exam of a class follows a normal distribution with a mean of 75 and a standard deviation of 7.5. Select a score of 95 and specify its z-score based on this distribution. When calculating the z-score, include the steps leading to the workings. That way, any mistakes can be quickly seen and corrected. Use the chosen raw score (95) and the calculated z-score to...
Suppose the diastolic blood pressure of females follow Normal distribution with Mean = 80 and Standard...

Suppose the diastolic blood pressure of females follow Normal distribution with Mean = 80 and Standard deviation - 3. The probability that the diastolic blood pressure of a female is greater than 78 is given as None 0.5138 0.7475 0.2392 0
1 Diastolic blood pressures are assumed to follow a normal distribution with a mean of 87...

1 Diastolic blood pressures are assumed to follow a normal distribution with a mean of 87 and a standard deviation of 10. a. What proportion of people have diastolic blood pressure less than 90? n have diastolic blood pressur c. If someone has a diastolic blood pressure of 100, what percentile is he/she in? 2. Suppose that the average Lehman College student reports using social media like Facebook and Snapchat an average of 6 hours a week, with a standard...

1. Monthly returns for portfolio A follow normal distribution with mean 7% and standard deviation 3%....

1. Monthly returns for portfolio A follow normal distribution with mean 7% and standard deviation 3%. Monthly returns for portfolio B follow normal distribution with mean 3% and standard deviation 1.5% In February, the return on portfolio A was 11%, and the return on portfolio B was 5%. (a) Which of the two portfolios had a more unusually successful month? (b) What percent of months do you expect portfolio A to perform even better than this February? What percent of...

It is assumed that the test results for a class follow a normal distribution with a...

Homework Answers