Question

IQ scores are sometimes modeled as a continuous variable. Let X be the IQ score of...

IQ scores are sometimes modeled as a continuous variable. Let X be the IQ score of a student, to be randomly selected at a University. Suppose that X has the normal distribution with a mean of 110 and a standard deviation of 8.

a.) Find the probability that a randomly selected student has an IQ higher than the national average of 100, but lower than 126.

b.) What IQ score has a probability of 0.01 of a randomly selected student scoring higher than it?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X be the score on a national test of randomly selected student from West High...
Let X be the score on a national test of randomly selected student from West High School and Y be the score on the same test of a randomly selected student from East High School. Suppose X has a normal distribution with mean 50 and variance 29. Y has a normal distribution with mean 47 and variance 35, and X and Y are independent. If a student from each high school is randomly selected, what is the probability that the...
Assume the IQ scores of the students at your university are normally distributed, with μ =...
Assume the IQ scores of the students at your university are normally distributed, with μ = 115 and σ = 10. If you randomly sample one score from this distribution, what is the probability that it will be (a) Higher than 130? (b) Between 110 and 125? (c) Lower than 100?
IQ scores are normally distributed with a mean of 110 and a standard deviation of 16....
IQ scores are normally distributed with a mean of 110 and a standard deviation of 16. Find the probability a randomly selected person has an IQ score greater than 115.
7. IQ scores are normally distributed with a mean of 100 and a standard deviation of...
7. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 points. a. Find the probability that a randomly selected person has an IQ less than 115. b. Find the probability that a randomly selected person has an IQ above 60. c. Find the 80th percentile for IQ scores. d. Find the probability that 20 randomly selected person has an IQ less than 110. e. What percentage of people have IQ scores between 60...
The population IQ score was collected from a national-wide test. The mean population IQ score is...
The population IQ score was collected from a national-wide test. The mean population IQ score is 101 and with a stand deviation of 15. The data of original population follows the normal distribution. Use the Z-score table provided to answer the following questions: (1) What is the Z score for IQ score = 95? Answer:  (Please report your answer to 3 decimal places.) (2) What is the Z score for IQ score = 110? Answer:  (Please report your answer to 3 decimal...
According to an article in American Scientist, IQ scores are normally distributed with a mean of...
According to an article in American Scientist, IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the following probabilities: a) The probability that a randomly selected person has an IQ score of at least 111. b) The probability that a randomly selected person has an IQ of less than 96. c) The probability that a randomly selected person has an IQ score between 119 and 145. (Please show all work.)
For the following, consider that IQ scores are normally distributed with a mean of 100 and...
For the following, consider that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a person has an IQ below 60 Find the probability that a randomly selected person has an IQ between 60 and 85 Find the probability that a randomly selected person has an IQ above 118. Find the IQ score that cuts off the lower 25% of the population from the upper 75%. Find the probability...
A typical adult has an average IQ score of 105 with a standard deviation of 20....
A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean scores will between 102 and 110 points? (Round to 2 decimal places)
For question 10, assume that adults have IQ scores that are normally distributed with a mean...
For question 10, assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQ of the following: 10. Find the area under the standard normal curve for the following: • Less than 115. • Greater than 131.5 • Between 90 and 110 • Between 110 and 120
IQ scores are normally distributed with mean of 100 and a standard deviation of 15. If...
IQ scores are normally distributed with mean of 100 and a standard deviation of 15. If MENSA only accepts people with an IQ score at the 99th percentile or higher, what is the lowest possible IQ score you can have and still be admitted to the organization? Mental disability has traditionally been diagnosed for anyone with an IQ of 70 or lower. By this standard, what proportion of the population would meet criteria to be diagnosed with a mental disability?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT