Question

In: Statistics and Probability

2.) Scores on a national exam are normally distributed with a mean 500 and a standard...


2.) Scores on a national exam are normally distributed with a mean 500 and a standard deviation of 20. Find the score corresponding to the 70th percentile. use the table or excel.

3.) X is a binomial random variable with parameters n=5 and p= .5. Use the table to compute the probability indicated. P(x= 3). Round to four decimal places.

4.) A uniform distribution has a density curve that spans over the interval [3,7]. what height will the curve have to be on the y-axis?

5.) The probability that a part is defective is .05. A box contains 10 such prts. Find the probability that at least one of the parts is defective. use the tables.

6.) Two hundred raffle tickets are sold at $1 each. One ticket will win $1000 and 2 tickets will win $500. Let x denote the net gain from the purchase of a randomly selected ticket. compute the expected value E(x).

Solutions

Expert Solution

Ans (2) Let random variable X denote national axam score


Related Solutions

Scores on a national exam vary normally with a mean of 400 and standard deviation of...
Scores on a national exam vary normally with a mean of 400 and standard deviation of 75. a. What must a student score to be in the 90th percentile? b. if 16 student take the exam, what is the probabiltiy that their mean score is at most 390? Please make sure you explain and show your work, as to how you got the standard devation of 75?
A set of exam scores is normally distributed with a mean = 82 and standard deviation...
A set of exam scores is normally distributed with a mean = 82 and standard deviation = 4. Use the Empirical Rule to complete the following sentences. 68% of the scores are between and . 95% of the scores are between and . 99.7% of the scores are between and . LicensePoints possible: 3 This is attempt 1 of 3.
A set of exam scores is normally distributed with a mean = 80 and standard deviation...
A set of exam scores is normally distributed with a mean = 80 and standard deviation = 8. Use the Empirical Rule to complete the following sentences. 68% of the scores are between  and . 95% of the scores are between  and . 99.7% of the scores are between  and . Get help: Video
3)   Scores on the SAT are normally distributed with a mean of 500 and a standard...
3)   Scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100 What is the probability of obtaining a score greater than 640? What is the probability of obtaining a score less than 390? What is the probability of obtaining a score between 725 and 800? What is the probability of obtaining a score either less than 375 or greater than 650? 4) If you obtained a score of 75 on an test,...
The scores on an anthropology exam are normally distributed with a mean of 76 and a...
The scores on an anthropology exam are normally distributed with a mean of 76 and a standard deviation of 5. Show your work step by step to receive full credit. 1) (6 points) The failing grade is anything 2.5 or more standard deviations below the mean. What is the cutoff for a failing score? 2) (6 points) If 3000 students took the exam, how many students failed? 3) (6 points) If 3000 students took the exam and the cutoff for...
GRE math scores are normally distributed with a mean µ = 500 and standard deviation, ...
GRE math scores are normally distributed with a mean µ = 500 and standard deviation,  = 55. This year Howard University admitted 1500 graduate students. Calculate: a.   the number of students with test scores above 520, below 490, between 482 & 522 b.   how high a score is needed to be in the top 10%, top 5%?
Math SAT scores are known to be normally distributed with mean of 500 and standard deviation...
Math SAT scores are known to be normally distributed with mean of 500 and standard deviation of 100. Answer the following questions. (I also want to see good notation and some of your calculations.) a) Suppose we randomly select one person who has taken the SAT. What is the probability their math score is between 525 and 550? b) Suppose we randomly select 25 people who have taken the SAT. What is the probability their average math score is between...
Suppose the scores of students on an exam are normally distributed with a mean of 340...
Suppose the scores of students on an exam are normally distributed with a mean of 340 and a standard deviation of 57. Then according to the Empirical Rule approximately 99.7 of the exam scores lie between the integers    and    .
Given the scores on a certain exam are normally distributed with a mean of 75 and...
Given the scores on a certain exam are normally distributed with a mean of 75 and a standard deviation of 5 a. Calculate the z-score for 80. Find the percentage of students with scores above 80 b. Calculate the z-score for 60. Find the percentage of students with scores below 60. c. Calculate the z-scores for 70 and 90. Find the percentage of students with scores between 70 and 90. d. What is the median? e. What test score value...
Critical reading SAT reading scores is normally distributed with a mean 500 and a standard deviation...
Critical reading SAT reading scores is normally distributed with a mean 500 and a standard deviation of 100. a) Find the SAT score at the 75th percentile? b) Find the SAT score at the 25th  percentile? c) What is the interquartile region? d) Harvard need a reading SAT score in the top 5%. Alice gets a 720 is she admitted? Explain.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT