MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Given a sample with a
Pr(81 < X < 201)
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- Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) ? = 28; ? = 3.6 P(x ≥ 30) =arrow_forwardThe mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. b. What is the median giraffe height? ? ft. c. What is the Z-score for a giraffe that is 18.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 16.9 feet tall?arrow_forwardThe lifetime (Y) of a semiconductor laser has a lognormal distribution with a mean of 10 and a standard deviation of 5. a. Calculate the parameters of the lognormal distribution. b. Determine the probability that a lifetime exceeds 10,000 hours. c. Determine the lifetime that is exceeded by 90% of lasers.arrow_forward
- For a normal distribution, use Table A or Excel (or both) to verify that the probability (rounded to two decimal places) within 1. 1.64 standard deviations of the mean equals 0.90. 2. 2.58 standard deviations of the mean equals 0.99. 3. Find the probability that falls within 0.67 standard deviations of the mean. 4. Sketch these three cases on a separate single grapharrow_forwardOn average, indoor cats live to 13 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X NO b. Find the probability that an indoor cat dies when it is between 10.2 and 11.8 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: yearsarrow_forwardAssume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 260 lbs? Round your answer to three decimal places, eg 0.192.arrow_forward
- Given a normal distribution with mean of 14 & standard deviation of 2. What is the P (13 ≤ x ≤ 15)? Write every rule you are going to usearrow_forwardThis assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.arrow_forwardAssume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.arrow_forward
- This is for statisticsarrow_forwardThe daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1290 and a standard deviation of 101. The probability that the sales on a given day at this store are more than $1.405. rounded to three decimal places, is:arrow_forwardThe average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:arrow_forward
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