Question

Assume that verbal scores on the SAT exam have a normal distribution with a population mean...

Assume that verbal scores on the SAT exam have a normal distribution with a population mean of 500 points and a population standard deviation of 100. 8. What is the probability that a randomly chosen makes at least 510 but no more than 620? a. 0.2145 b. 0.2422 c. 0.2850 d. 0.3451 e. 0.4247

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

Solution :

=> Answer : Option d. 0.3451

Given that mean μ = 500 , standard deviation σ = 100

=> P(at least 510 but no more than 620) = P(x >= 510 , x <= 620)

= P(510 <= x <= 620)

= P(509.5 < x < 620.5)

= P((509.5 - 500)/100 < (x - μ)/σ < (620.5 - 500)/100)

= P(0.095 < Z < 1.205)

= 0.3451

Add a comment
Know the answer?
Add Answer to:
Assume that verbal scores on the SAT exam have a normal distribution with a population mean...
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
  • Use the normal distribution of SAT critical reading scores for which the mean is 510 and...

    Use the normal distribution of SAT critical reading scores for which the mean is 510 and the standard deviation is 118. Assume the variable x is normally distributed (a) What percent of the SAT verbal scores are less than 600? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? (a) Approximately%of the SAT verbal scores are less than 600. (Round to two decimal places as needed.) (b) You would...

  • Use the normal distribution of SAT critical reading scores for which the mean is 510 and...

    Use the normal distribution of SAT critical reading scores for which the mean is 510 and the standard deviation is 105. Assume the variable x is normally distributed. left parenthesis a right parenthesis A.What percent of the SAT verbal scores are less than 600​? B. left parenthesis b right parenthesis If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 575​? A. Approximately ​% of the SAT verbal scores are less than...

  • Use the normal distribution of SAT critical reading scores for which the mean is 506 and...

    Use the normal distribution of SAT critical reading scores for which the mean is 506 and the standard deviation is 110. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650​? (b) If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 575​?

  • Use the normal distribution of SAT critical reading scores for which the mean is 514 and...

    Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 106. Assume the variable x is normally destributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately% of the SAT verbal scores are less than 550 (Round to two decimal places as needed) SAT verbal...

  • Il Limit Theorem pages 278-285. If the mean SAT verbal score is 505 and the standard...

    Il Limit Theorem pages 278-285. If the mean SAT verbal score is 505 and the standard deviation is 11. What is the probability that a randomly selected student will have a score e of more than 509 points a normal distribution Show the standard domly selected student will hav with cores, Graphs Graph is 2 of the 6 points formal graph with 2-scores b. What is the probability that 9 randomly selected students will have a mean score of more...

  • Use the normal distribution of SAT critical reading scores for which the mean is 504 and the standard deviation is 118

    Use the normal distribution of SAT critical reading scores for which the mean is 504 and the standard deviation is 118. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 675? (b) 1000 SAT Verbal scores are randomly selected, about how many would you expect to be greater than 575? (a) Approximately _______ % of the SAT verbal scores are less than 675.

  • Use the normal distribution of SAT critical reading scores for which the mean is 508 and the standard deviation is 115.

    Use the normal distribution of SAT critical reading scores for which the mean is 508 and the standard deviation is 115. Assume the variable x is normally distributed (a) What percent of the SAT verbal scores are less than 600? (b) 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? (a) Approximately _______  for the SAT verbal scores are less than 600 

  • Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal...

    Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with mean score 151 and standard deviation 7 points, while the quantitative portion of the exam has scores following the normal distribution with mean 153 and standard deviation 7.67. Use this information to answer the following: (Please round to two decimal places) a) Find the score of a student who scored in the 80th percentile on the Quantitative Reasoning section of the exam....

  • Use the normal distribution of SAT critical reading scores for which the mean is 511511 and...

    Use the normal distribution of SAT critical reading scores for which the mean is 511511 and the standard deviation is 106106. Assume the variable x is normally distributed. left parenthesis a right parenthesis(a) What percent of the SAT verbal scores are less than 600600​? left parenthesis b right parenthesis(b) If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 525525​?

  • Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122

    Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately 63.78 % of the SAT verbal scores are less than 550.  (b) You would expect that approximately _______ SAT verbal scores would...

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