The average sunshine hours per year in a city have a normal distribution with a mean of 1,200 hours and a standard devialion of 118 hours. Use the normaldistribution table given in the course notes to determine the probability that the sunshine hours per year are:Less than 1,536.3 hours:P(z < 1,536.3) =• Between 1,208.26 and 1,358.12 hours:P(1,208.26 1,358.12) =Keep 2 decimal points in the calculation of the standard normal variable (z), for using the standard normal distribution table in the course notes.Keep 4 decimal points in your answer according to the Standard Normal distribution table given in the course notes.

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Answered: The average sunshine hours per year in…

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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Assume that readings on thermometers are normally distributed with a mean of 0 and a standard deviation of 1. A thermometer is selected at random. Find the probability that the reading is less than -2.08
The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.
Q2: The life of a semiconductor laser at a constant power is normally distributed with a mean of 7500 hours and a standard deviation of 500 hours. a. What is the probability that a laser fails before 5500 hours? b. What is the probability that a laser lasts more than 8250 hours? c. What is the life in hours that 95% of the lasers exceed?
The average time taken to repair a computer is 13.8 minutes. If the standard deviation is known σ = 2.2 minutes, what is the probability that is will take between 10.06 and 17.54 minutes to repair a computer?
The 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.
The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. Find the probability that an individual distance is greater than 209.30 cm.
The weight of a green forest frog has a normal distribution with mean 150.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs: i. Less than 153g ii. Between 150 g and 158 g
The average amount of money spent for lunch per person in the college cafeteria is $5.99 and the standard deviation is $2.1. Suppose that 49 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. For the group of 49 patrons, find the probability that the average lunch cost is between $5.77 and $6.08.
The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. For the following questions: 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.
The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.For the group of 6 patrons, find the probability that the average lunch cost is between $6.2647 and $7.3532.
Assume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?
The average THC content of marijuana sold on the street is 9.4%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 7.9. Round to 4 decimal places. c. Find the 65th percentile for this distribution. Round to 2 decimal places.

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