The average sunshine hours per year in a city have a normal distribution witha mean of 1,789 hours and a standard deviation of 94 hours. Use the normaldistribution tables to determine the probability that the sunshine hours peryear are:Less than 2,061.6 hours :P(x2,061.6)=• Between 1,842.58 and 1,865.14 hours:P (1,842.58 < x < 1,865.14) =• More than 1,865.14 hours:P(x > 1,865.14) :=Keep 2 decimal points in the calculation of the standard normal variable(z).

Here given that the average sunshine hours per year in a city has normal distribution with mean of…

Answered: The average sunshine hours per year in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0°C and 2.679°C.
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.5°C and 1.71°C.
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.
Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a standard deviation of 18 inches. Find the probability that the mean annual precipitation during 35 randomly picked years will be less than 101.8 inches.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 69 with a standard deviation of 7.5. Assume that the distribution is approximately normal.Find the probability that an elite athlete has a maximum oxygen uptake of at least 88.5 ml/kg. Find the probability that an elite athlete has a maximum oxygen uptake of at most 48.75 ml/kg. Find the probability that an elite athlete has a maximum oxygen uptake of 48.75 ml/kg.
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 level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
The duration of a lunch break for one employee at a manufacturing company follows a normal distribution with mean μ minutes and standard deviation 5 minutes. The probability that a lunch break lasts for more than 52 minutes is 0.25. Find the value of μ.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 60 with a standard deviation of 9 . Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? What is the probability that an elite athlete has a maximum oxygen uptake of 70 ml/kg or lower?

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