14. Employees at Jamba Juice have different ages. Assuming a Normal Distributionwith a mean age of 38 years old and a standard deviation of 2.5 years,a. What is the probability that a randomly selected employee is less than 33 yearsold?b. What is the probability that a randomly selected employee is older than 40.5years old?c. What is the probability that a randomly selected employee is between the age of33 and 40.5?

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Answered: 14. Employees at Jamba Juice have…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 308 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 308 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 308 days or longer is ☐ (Round to four decimal places as needed.)
The average smartphone user used 606 megabytes of data per month. Assume the standard deviation of data usage was 240 megabytes per month. A random sample of 60 smartphone users was selected. a. What is the expected value of the sample mean? b. What is the standard deviation of the sample mean? c. What is the probability that the averaged amount of data used in this sample was between 540 and 580?
A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. (Provide your answer with four decimal places) A. If a household is selected at random what is the probability that the number of TV sets is greater than 2 in that household? B.If a sample of 64 households selected what is the probability that the sample mean number of TV sets is greater than 2?
4. The average salary for first-year teachers is $27,989. Assume the distribution is approximately normal with standard deviation $3250. a. What is the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 each year? b. What is the probability that a randomly selected first-year teacher has a salary less than $20,000?
Suppose 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 days
1. The full weight of a brand of a pack of sweet potato fries is a random variable with u = 450 g and 6 = 5.1 g. Assume that you pick a random of pack from the population. a. Find the proportion of packs that contain less than 440g.
b. What is the probability that fewer than four corporate officers were female? c. What is the probability that more than two corporate officers were female? d. What are the mean and standard deviation for this distribution?
4. TomTom, the producer of GPS devices, reported that the fastest drivers in the nation are in Mississippi. In Mississippi, interstate drivers average 70.1 miles per hour. Assume that the speed of cars traveling on Mississippi’s interstates follows the normal distribution with a standard deviation of 7.2 miles per hour. a. What is the probability that a randomly selected car on a Mississippi interstate is traveling 1. faster than 65 miles per hour? 2. slower than 72 miles per hour? 3. between 60 and 66 miles per hour? 4. between 78 and 85 miles per hour? b. Confirm the answers to part a with Excel. c. What average speed should I drive if I want to travel faster than 70% of the cars on the interstate?
The Brac University Debate Team is looking for new members to join the team. The IQ of all the try-out participants is known to follow a normal distribution with a mean of 97 points and a standard deviation of 17 points. To have a shot at joining the team, one must have an IQ between 87 points and 122 points; otherwise the team may end up imbalanced and incompatible. a. What is the probability that a randomly selected try-out participant will not satisfy the IQ requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 80 percentile value for the IQ of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. points c. Team members with IQ among the bottom 11.58% of the accepted range are required to attend extra training sessions. What should be the minimum IQ of a debater who wishes to avoid the extra training sessions? Answer in exact fraction, or rounded to at least 2 decimal places. points
1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with standard deviation of P 2,500. What is the probability that the mean for a sample of 36 teachers salaries is less than P20,000?
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 3%,then the baby is premature. Find the length that separates premature babies from those who are not premature.
2. The number of people who lunch at a restaurant is normally distributed. X = 250 Standard deviation = 20 a. What's the probability of at least 200 eating at the restaurant in a day? b. Probability between 225 and 275 clients showing up in a day?

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