MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Assume that SAT scores are
- If 1 SAT score is randomly selected, find the
probability that it is greater than 1600. - If 81 SAT scores are randomly selected, find the probability that they have a mean greater than 1600.
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- Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 95 and 115. Click to view page 1 of the table. Click to view_page 2 of the table. ..... The probability that a randomly selected adult has an IQ between 95 and 115 is (Type an integer or decimal rounded to four decimal places as needed.)arrow_forwardAmericans (on average) individually eat 16 pounds of seafood each year with a standard deviation of 7 pounds. James samples 40 Americans and finds and average of 14 pounds. How likely is it to get an average of 14 pounds if he had a representative sample?arrow_forwardAssume that women's weights are normally distributed with a mean given by mean=143 lb and a standard deviation given by 29 lb. If 3 women are randomly selected, find the probability that they have a mean weight below 113 If 85 women are randomly selected, find the probability that they have a mean weight below 113arrow_forward
- A running back on the Spartans football team gains an average of 3.5 yards per carry with a standard deviation of 2. The distribution of yards gained is normal. If the ball is 7 yards from the end zone what is the probability that the running back will score a touchdown if he is given the ball?arrow_forwardA company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm.Find P98, which is the length separating the shortest 98% rods from the longest 2%.P98 = -cmarrow_forwardAssume that an intelligence test scores are distributed normallt with a mean of 100 and a standard deviation of 15. If you scored 124 on this intelligence test, what is your z-score on this distribution.arrow_forward
- A particular standardized test has scores that have a mound-shaped distribution with mean equal to 126 and standard deviation equal to 22 . Tom had a raw score of 161, Dick scored at the 98th percentile, and Harry had a z score of 2.00. Arrange these three students in order of their scores from lowest to highest. ▼(Choose one) , ▼(Choose one) , ▼(Choose one)arrow_forwardA recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15 1. What is the probability that a randomly selected individual would have an IQ less than 115. 2. What is the probability that a randomly selected individual would have an IQ of more than 112 3. What is the probability that a randomly selected individual would have an IQ of at least 111.arrow_forwardEach students in a local school district write a national examination. The average on this year national exam is 150 with a standard deviation of 20. Schools where the overall average is between 1.5 and 3.0 standard deviations above the mean are eligible for additional funding. What is the average range a school must achieve to be eligible for funding?arrow_forward
- Scores on the SAT test have a mean of 1518 and a standard deviation of 325. If 100 students are randomly chosen and the mean of their SAT scores is calculated, find the probability that the sample mean is less than 1460.arrow_forwardAmericans spend an average 12.2 minutes in the shower. If the standard deviation of the variable is 2 minutes and the variable is normally distributed, find the probability that the mean time of a sample of 15 Americans who shower will be less than 12 minutes.arrow_forwardThe average score of all golfers for a particular course has a mean of 71 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 72. Round to four decimal places.arrow_forward
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