MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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4.The weights of bags of cookies are
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- The Langtry of a pregnancy is normally distributed with a mean of 268days and a standard deviation of 15. A.Find the percentage of pregnancies less then 268 days. B. Find the percentage of pregnancies lasting less then 261 days. C. If pregnancies is considered premature if ot is in the lowest 3% of pregnancies, find the number of days which separates a premature baby from those who are not premature.arrow_forward3. The alkalinity level of water specimens collected from a certain river is approximately distributed as normal with a mean of 50 miligrams per liter and a standard deviation of 2.5 miligrams per liter. i. Find the probability that a water specimen collected from the river has an alkalinity level below 54 miligrams per liter. ii. If a sample of 20 specimens are collected from the river, what is the probability that the mean alkalinity level is between 49.5 and 51.5 miligrams per liter? Answerarrow_forwardA grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?arrow_forward
- 1. Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a standard deviation of 0.5 hours. Every day, lan stays in school for 5.5 hours. What proportion of students stays less than 5.5 hours?arrow_forward5. The weights of elephants are normally distributed. The mean weight is 5,200 kg and the probability of an elephant weighing over 6,000 kg is 0.0314. What is the standard deviation of the weights of elephants?arrow_forwardAssume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?arrow_forward
- A banker finds that the number of times people use automated-teller machines (ATMs) in a year are normally distributed with a mean of 40.0 and a standard deviation of 11.2 (based on data from Maritz Marketing Research, Inc.). Find the proportion of customers who use ATMs between 20 and 60 times. Use four decimal places for your answerarrow_forwardThe time that a customer takes to complete a transaction in the business line at the bank follows a normal distribution with a mean of 5.4 minutes and a standard deviation of 1.7 minutes Above how many minutes will 20% of the customers spend in completing a transaction? O a. 6.115 O b. 0.4207 Ос. 0.84 O d. 6.828arrow_forwardSuppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in daysarrow_forward
- 3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155arrow_forward2. 60 matches were played in a football tournament. The table to the right shows the number of goals scored in all matches. Number of Goals 1 3 4 5 Number of Matches 18 20 3 a. Find the median number of goals scored per match. b. Find the mean number of goals scored per match. c. Calculate the standard deviation of the goals scored per match.arrow_forwardTraveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on average, 28 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 40 times. What is the probability that the average transport time was greater than 30 minutes? Assume the mean time is measured to the nearest minute.arrow_forward
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